Log in

Relevant bibliographies by topics / Multiple Lyapunov functional / Journal articles

To see the other types of publications on this topic, follow the link: Multiple Lyapunov functional.

Journal articles on the topic 'Multiple Lyapunov functional'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Multiple Lyapunov functional.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Boonpikum, Aphirak, Thongchai Botmart, Piyapong Niamsup, and Wajaree Weera. "Improved Delay-Dependent Stability Criterion for Genetic Regulatory Networks with Interval Time-Varying Delays via New Lyapunov Functionals." Mathematical Problems in Engineering 2020 (October 21, 2020): 1–24. http://dx.doi.org/10.1155/2020/9590582.

Full text

Abstract:

In this work, the stability analysis problem of the genetic regulatory networks (GRNs) with interval time-varying delays is presented. In the previous works, the constructions of Lyapunov functional have usually been in simple Lyapunov functional, augmented Lyapunov functional, and multiple integral Lyapunov functional. Therefore, we introduce new Lyapunov functionals expressed in terms of delay product functions. New delay-dependent sufficient conditions for the genetic regulatory networks (GRNs) are established in the terms of linear matrix inequalities (LMIS). In addition, a numerical examp

APA, Harvard, Vancouver, ISO, and other styles

2

Gan, Zuoxin, and Weigao Ge. "Lyapunov Functional for Multiple Delay General Lurie Systems with Multiple Non-linearities." Journal of Mathematical Analysis and Applications 259, no. 2 (2001): 596–608. http://dx.doi.org/10.1006/jmaa.2001.7433.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Liu, Shibo. "Multiple solutions for elliptic resonant problems." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 138, no. 6 (2008): 1281–89. http://dx.doi.org/10.1017/s0308210507000443.

Full text

Abstract:

Two non-trivial solutions for semilinear elliptic resonant problems are obtained via the Lyapunov—Schmidt reduction and the three-critical-points theorem. The difficulty that the variational functional does not satisfy the Palais—Smale condition is overcome by taking advantage of the reduction and a careful analysis of the reduced functional.

APA, Harvard, Vancouver, ISO, and other styles

4

Gu, Keqin. "Discretized Lyapunov functional for uncertain systems with multiple time-delay." International Journal of Control 72, no. 16 (1999): 1436–45. http://dx.doi.org/10.1080/002071799220092.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Wu, Min, and Yong He. "Parameter-dependent Lyapunov functional for systems with multiple time delays." Journal of Control Theory and Applications 2, no. 3 (2004): 239–45. http://dx.doi.org/10.1007/s11768-004-0004-z.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Gu, Keqin. "Refined discretized Lyapunov functional method for systems with multiple delays." International Journal of Robust and Nonlinear Control 13, no. 11 (2003): 1017–33. http://dx.doi.org/10.1002/rnc.750.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Naami, Ghali, Mohamed Ouahi, Teresa Alvarez, and Abdelhamid Rabhi. "Generalized Multiple Delay-dependent H∞, Functional Observer Design for Nonlinear System." Int. J. Control Autom. Syst. 21 (August 30, 2023): 3584–94. https://doi.org/10.1007/s12555-023-0087-2.

Full text

Abstract:

Functional observers are the major alternative to many practical estimation problems where full-order observers cannot be used. This paper introduces a generalized approach to design <em>H</em><sub>∞</sub> functional observers for a class of Lipschitz nonlinear systems with multiple time delays. Moreover, the considered system extends from previously published work in that it presents nonlinearity, multiple delay and external disturbance. Their main findings come from the development of a generalized augmented Lyapunov function that uses both the extended reciprocal convex combinati

APA, Harvard, Vancouver, ISO, and other styles

8

Finogenko, I. A. "On attraction and weak attraction for autonomous functional differential inclusions using multiple Lyapunov functionals." Siberian Mathematical Journal 53, no. 1 (2012): 174–81. http://dx.doi.org/10.1134/s0037446612010156.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Zhao, Xueyan, Feiqi Deng, and Xiaojing Zhong. "LaSalle-Type Theorems for General Nonlinear Stochastic Functional Differential Equations by Multiple Lyapunov Functions." Abstract and Applied Analysis 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/486191.

Full text

Abstract:

We investigate LaSalle-type theorems for general nonlinear stochastic functional differential equations. With some preliminaries on lemmas and the derivation techniques, we establish three LaSalle-type theorems for the general nonlinear stochastic functional differential equations via multiple Lyapunov functions. For the typical special case with estimations involving|xt|pfor the derivatives of the Lyapunov functions, a theorem is established as the corollary of the main theorem. At the end of the paper, an example is given to illustrate the usage of the method proposed and show the advantage

APA, Harvard, Vancouver, ISO, and other styles

10

Ademola, A. T., B. S. Ogundare, M. O. Ogundiran, and O. A. Adesina. "Stability, Boundedness, and Existence of Periodic Solutions to Certain Third-Order Delay Differential Equations with Multiple Deviating Arguments." International Journal of Differential Equations 2015 (2015): 1–12. http://dx.doi.org/10.1155/2015/213935.

Full text

Abstract:

The behaviour of solutions for certain third-order nonlinear differential equations with multiple deviating arguments is considered. By employing Lyapunov’s second method, a complete Lyapunov functional is constructed and used to establish sufficient conditions that guarantee existence of unique solutions that are periodic, uniformly asymptotically stable, and uniformly ultimately bounded. Obtained results not only are new but also include many outstanding results in the literature. Finally, the correctness and effectiveness of the results are justified with examples.

APA, Harvard, Vancouver, ISO, and other styles

11

Tunç, Cemil, and Melek Gözen. "Stability and Uniform Boundedness in Multidelay Functional Differential Equations of Third Order." Abstract and Applied Analysis 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/248717.

Full text

Abstract:

We consider a nonautonomous functional differential equation of the third order with multiple deviating arguments. Using the Lyapunov-Krasovskiì functional approach, we give certain sufficient conditions to guarantee the asymptotic stability and uniform boundedness of the solutions.

APA, Harvard, Vancouver, ISO, and other styles

12

Hassan, Yasser Falah, Mahmood Khalid Hadi Zarkani, Mohammed Jasim Alali, Haitham Daealhaq, and Hicham Chaoui. "Guaranteed H∞ Performance of Switched Systems with State Delays: A Novel Low-Conservative Constrained Model Predictive Control Strategy." Mathematics 12, no. 2 (2024): 246. http://dx.doi.org/10.3390/math12020246.

Full text

Abstract:

In this paper, for the first time, a simultaneous design of a model predictive control plan and persistent dwell-time switching signal utilizing the conventional multiple Lyapunov–Krasovskii functional is proposed for linear delayed switched systems that are affected by physical constraints and exogenous disturbances. The conventional multiple Lyapunov–Krasovskii functional with a ‘jump high’ condition is used as a step forward to reduce the strictness of constraints on controller design compared with the switched Lyapunov–Krasovskii functional. However, a dwell-time constraint is inflicted on

APA, Harvard, Vancouver, ISO, and other styles

13

Sheng, Long, Ya-Jun Pan, and Xiang Gong. "Consensus Formation Control for a Class of Networked Multiple Mobile Robot Systems." Journal of Control Science and Engineering 2012 (2012): 1–12. http://dx.doi.org/10.1155/2012/150250.

Full text

Abstract:

A consensus-based formation control for a class of networked multiple mobile robots is investigated with a virtual leader approach. A novel distributed control algorithm is designed based on the Lyapunov method and linear matrix inequality (LMI) technique for time delay systems. A multiple Lyapunov Krasovskii functional candidate is proposed for investigating the sufficient conditions to linear control gain design for the system with constant time delays. Simulation results as well as experimental studies on Pioneer 3 series mobile robots are shown to verify the effectiveness of the proposed a

APA, Harvard, Vancouver, ISO, and other styles

14

Ademola, Adeleke Timothy. "Existence and uniqueness of a periodic solution to certain third order nonlinear delay differential equation with multiple deviating arguments." Acta Universitatis Sapientiae, Mathematica 5, no. 2 (2013): 113–1. http://dx.doi.org/10.2478/ausm-2014-0008.

Full text

Abstract:

Abstract In this paper, we use Lyapunov’s second method, by constructing a complete Lyapunov functional, sufficient conditions which guarantee existence and uniqueness of a periodic solution, uniform asymptotic stability of the trivial solution and uniform ultimate boundedness of solutions of Eq. (2). New results are obtained and proved, an example is given to illustrate the theoretical analysis in the work and to test the effectiveness of the method employed. The results obtained in this investigation extend many existing and exciting results on nonlinear third order delay differential equati

APA, Harvard, Vancouver, ISO, and other styles

15

Korkmaz, Erdal, and Cemil Tunc. "Stability and boundedness to certain differential equations of fourth order with multiple delays." Filomat 28, no. 5 (2014): 1049–58. http://dx.doi.org/10.2298/fil1405049k.

Full text

Abstract:

In this paper, we give sufficient conditions to guarantee the asymptotic stability and boundedness of solutions to a kind of fourth-order functional differential equations with multiple delays. By using the Lyapunov-Krasovskii functional approach, we establish two new results on the stability and boundedness of solutions, which include and improve some related results in the literature.

APA, Harvard, Vancouver, ISO, and other styles

16

Tunç, Cemil. "Qualitative Behaviors of Functional Differential Equations of Third Order with Multiple Deviating Arguments." Abstract and Applied Analysis 2012 (2012): 1–12. http://dx.doi.org/10.1155/2012/392386.

Full text

Abstract:

This paper considers nonautonomous functional differential equations of the third order with multiple constant deviating arguments. Using the Lyapunov-Krasovskii functional approach, we find certain sufficient conditions for the solutions to be stable and bounded. We give an example to illustrate the theoretical analysis made in this work and to show the effectiveness of the method utilized here.

APA, Harvard, Vancouver, ISO, and other styles

17

Jiao, Jianmin, and Rui Zhang. "A Delay Decomposition Approach to the Stability Analysis of Singular Systems with Interval Time-Varying Delay." Mathematical Problems in Engineering 2014 (2014): 1–13. http://dx.doi.org/10.1155/2014/679460.

Full text

Abstract:

This paper investigates delay-dependent stability problem for singular systems with interval time-varying delay. An appropriate Lyapunov-Krasovskii functional is constructed by decomposing the delay interval into multiple equidistant subintervals, where both the information of every subinterval and time-varying delay have been taken into account. Employing the Lyapunov-Krasovskii functional, improved delay-dependent stability criteria for the considered systems to be regular, impulse-free, and stable are established. Finally, two numerical examples are presented to show the effectiveness and l

APA, Harvard, Vancouver, ISO, and other styles

18

Jabri, Dalel, Kevin Guelton, and Noureddine Manamanni. "Decentralized stabilization of interconnected switched descriptors via a multiple switched Lyapunov functional." IFAC Proceedings Volumes 45, no. 9 (2012): 424–29. http://dx.doi.org/10.3182/20120606-3-nl-3011.00050.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Remili, Moussadek, and Lynda Damerdji Oudjedi. "Stability of the solutions of nonlinear third order differential equations with multiple deviating arguments." Acta Universitatis Sapientiae, Mathematica 8, no. 1 (2016): 150–65. http://dx.doi.org/10.1515/ausm-2016-0009.

Full text

Abstract:

Abstract In this paper, with use of Lyapunov functional, we investigate asymptotic stability of solutions of some nonlinear differential equations of third order with delay. Our results include and improve some well-known results in the literature.

APA, Harvard, Vancouver, ISO, and other styles

20

Xiao, Chunjie, and Ting Hou. "Delay-Dependent Stability of Impulsive Stochastic Systems with Multiple Delays." Processes 10, no. 7 (2022): 1258. http://dx.doi.org/10.3390/pr10071258.

Full text

Abstract:

This paper associates with stability analysis of linear impulsive stochastic delay systems (ISDSs). Although many conclusions about the stability of ISDSs have been obtained based on Lyapunov’s method, relatively few research theories about delay-dependent stability with less conservativeness have been established. Therefore, we introduce an appropriate Lyapunov-Krasovskii functional (LKF) to work out this problem, and a novel delay-dependent exponential stability theorem is first deduced. On the other hand, when mean-square stability is considered, we present delay-dependent stability conditi

APA, Harvard, Vancouver, ISO, and other styles

21

Qiu, Huahai, Li Wan, Zhigang Zhou, Qunjiao Zhang, and Qinghua Zhou. "Global exponential periodicity of nonlinear neural networks with multiple time-varying delays." AIMS Mathematics 8, no. 5 (2023): 12472–85. http://dx.doi.org/10.3934/math.2023626.

Full text

Abstract:

<abstract><p>Global exponential periodicity of nonlinear neural networks with multiple time-varying delays is investigated. Such neural networks cannot be written in the vector-matrix form because of the existence of the multiple delays. It is noted that although the neural network with multiple time-varying delays has been investigated by Lyapunov-Krasovskii functional method in the literature, the sufficient conditions in the linear matrix inequality form have not been obtained. Two sets of sufficient conditions in the linear matrix inequality form are established by Lyapunov-Kra

APA, Harvard, Vancouver, ISO, and other styles

22

TUNC, CEMIL. "On the uniform boundedness of solutions of Lienard type equations with multiple deviating arguments." Carpathian Journal of Mathematics 27, no. 2 (2011): 269–75. http://dx.doi.org/10.37193/cjm.2011.02.01.

Full text

Abstract:

This paper considers a Lienard type equation with multiple variable deviating arguments. We find some sufficient conditions for the solution of this equation to be uniform bounded by utilizing Lyapunov functional approach. An example is also given to show the effectiveness of our result.

APA, Harvard, Vancouver, ISO, and other styles

23

Li, Hongfei, and Keqin Gu. "Discretized Lyapunov–Krasovskii functional for coupled differential–difference equations with multiple delay channels." Automatica 46, no. 5 (2010): 902–9. http://dx.doi.org/10.1016/j.automatica.2010.02.007.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Tunç, Cemil. "Instability of a Fifth-Order Nonlinear Vector Delay Differential Equation with Multiple Deviating Arguments." Journal of Mathematics 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/809748.

Full text

Abstract:

We study a fifth-order nonlinear vector delay differential equation with multiple deviating arguments. Some criteria for guaranteeing the instability of zero solution of the equation are given by using the Lyapunov-Krasovskii functional approach. Comparing with the previous literature, our result is new and complements some known results.

APA, Harvard, Vancouver, ISO, and other styles

25

Tunç, Osman, Cemil Tunç, and Yuanheng Wang. "Delay-Dependent Stability, Integrability and Boundedeness Criteria for Delay Differential Systems." Axioms 10, no. 3 (2021): 138. http://dx.doi.org/10.3390/axioms10030138.

Full text

Abstract:

This paper deals with non-perturbed and perturbed systems of nonlinear differential systems of first order with multiple time-varying delays. Here, for the considered systems, easily verifiable and applicable uniformly asymptotic stability, integrability, and boundedness criteria are obtained via defining an appropriate Lyapunov–Krasovskiĭ functional (LKF) and using the Lyapunov–Krasovskiĭ method (LKM). Comparisons with a former result that can be found in the literature illustrate the novelty of the stability theorem and show new contributions to the qualitative theory of solutions. A discuss

APA, Harvard, Vancouver, ISO, and other styles

26

Tunç, Cemil. "Existence of Periodic Solutions to Nonlinear Differential Equations of Third Order with Multiple Deviating Arguments." International Journal of Differential Equations 2012 (2012): 1–13. http://dx.doi.org/10.1155/2012/406835.

Full text

Abstract:

We establish certain new sufficient conditions which guarantee the existence of periodic solutions for a nonlinear differential equation of the third order with multiple deviating arguments. Using the Lyapunov functional approach, we prove a specific theorem and provide an example to illustrate the theoretical analysis in this work and the effectiveness of the method utilized here.

APA, Harvard, Vancouver, ISO, and other styles

27

You, Feng, Hong-An Tang, Yanhong Wang, Zi-Yi Xia, and Jin-Wei Li. "Adaptive Output Synchronization of Coupled Fractional-Order Memristive Reaction-Diffusion Neural Networks." Fractal and Fractional 8, no. 2 (2024): 78. http://dx.doi.org/10.3390/fractalfract8020078.

Full text

Abstract:

This article discusses the adaptive output synchronization problem of coupled fractional-order memristive reaction-diffusion neural networks (CFOMRDNNs) with multiple output couplings or multiple output derivative couplings. Firstly, by using Lyapunov functional and inequality techniques, an adaptive output synchronization criterion for CFOMRDNNs with multiple output couplings is proposed. Then, an adaptive controller is designed for ensuring the output synchronization of CFOMRDNNs with multiple output derivative couplings. Finally, two numerical examples are given to verify the effectiveness

APA, Harvard, Vancouver, ISO, and other styles

28

Wang, Yong, Zhichun Yang, Tonglai Liu, and Hong-An Tang. "Passivity and Synchronization of Multiple Multi-Delayed Neural Networks via Impulsive Control." Discrete Dynamics in Nature and Society 2020 (July 18, 2020): 1–11. http://dx.doi.org/10.1155/2020/6021687.

Full text

Abstract:

This paper is concerned with the passivity and synchronization for multiple multi-delayed neural networks (MMDNNs) under impulsive control. To ensure the passivity, input strict passivity, and output strict passivity in MMDNNs, a suitable impulsive controller is designed. Moreover, an impulsive time-dependent Lyapunov functional is exploited to obtain the synchronization criterion of MMDNNs, where the criterion is formulated by linear matrix inequalities. Numerical examples are given to verify the validity of the theoretical results.

APA, Harvard, Vancouver, ISO, and other styles

29

Bai, Yu, Zhao Di Xu, Chao Deng, and Chang Liu. "Delay-Dependent Absolute Stability Analysis of Lurie Control System with Multiple Delays." Advanced Materials Research 631-632 (January 2013): 1195–200. http://dx.doi.org/10.4028/www.scientific.net/amr.631-632.1195.

Full text

Abstract:

This paper investigates the stability problem for Lurie control system with multiple delays. The system with multiple time-delays is transformed, then the delay divided into several segments, a novel Lyapunov functional is introduced and some new delay-dependent stability criteria are derived by employed integral-equality technique. It is theoretically proved that the obtained criteria are less conservative than some existing ones. An example is given to illustrate the effectiveness of the proposed results.

APA, Harvard, Vancouver, ISO, and other styles

30

Shi, Xiang Dong. "Mean Square Asymptotic Stability of Neutral Stochastic Neutral Networks with Multiple Time-Varying Delays." Advanced Materials Research 684 (April 2013): 579–82. http://dx.doi.org/10.4028/www.scientific.net/amr.684.579.

Full text

Abstract:

The paper considers the problems of almost surely asymptotic stability for neutral stochastic neural networks with multiple time-varying delays. By applying Lyapunov functional method and differential inequality techniques, new sufficient conditions ensuring the existence and almost surely asymptotic stability of neutral stochastic neural networks with multiple time-varying delays are established. The results are shown to be generalizations of some previously published results and are less conservative than existing results.

APA, Harvard, Vancouver, ISO, and other styles

31

Adeyanju, Adetunji A., and Ayman M. Mahmoud. "Qualitative analysis of solutions to Lienard stochastic differential equation with multiple delays." Neliniini Kolyvannya 28, no. 1 (2025): 3–18. https://doi.org/10.3842/nosc.v28i1.1496.

Full text

Abstract:

This study focuses on providing criteria for stochastic stability of the zero solution and uniform boundedness of solutions to a class of nonlinear Lienard stochastic differential equations with multiple bounded delays. A Lyapunov – Krasovskii functional is constructed and employed as a tool to prove our results. By our results, many stability and boundedness theorems of second order are improved on and are also generalized. The credibility of our results is demonstrated by two numerical examples included.

APA, Harvard, Vancouver, ISO, and other styles

32

Zhang, Jian, Ancheng Chang, and Gang Yang. "Periodicity on Neutral-Type Inertial Neural Networks Incorporating Multiple Delays." Symmetry 13, no. 11 (2021): 2231. http://dx.doi.org/10.3390/sym13112231.

Full text

Abstract:

The classical Hopefield neural networks have obvious symmetry, thus the study related to its dynamic behaviors has been widely concerned. This research article is involved with the neutral-type inertial neural networks incorporating multiple delays. By making an appropriate Lyapunov functional, one novel sufficient stability criterion for the existence and global exponential stability of T-periodic solutions on the proposed system is obtained. In addition, an instructive numerical example is arranged to support the present approach. The obtained results broaden the application range of neutral

APA, Harvard, Vancouver, ISO, and other styles

33

Yu, Yaning, and Ziye Zhang. "State Estimation for Complex-Valued Inertial Neural Networks with Multiple Time Delays." Mathematics 10, no. 10 (2022): 1725. http://dx.doi.org/10.3390/math10101725.

Full text

Abstract:

In this paper, the problem of state estimation for complex-valued inertial neural networks with leakage, additive and distributed delays is considered. By means of the Lyapunov–Krasovskii functional method, the Jensen inequality, and the reciprocally convex approach, a delay-dependent criterion based on linear matrix inequalities (LMIs) is derived. At the same time, the network state is estimated by observing the output measurements to ensure the global asymptotic stability of the error system. Finally, two examples are given to verify the effectiveness of the proposed method.

APA, Harvard, Vancouver, ISO, and other styles

34

Chen, Yuzhen, Haoxin Liu, and Rui Dong. "Robust stabilization for uncertain saturated systems with multiple time delays." AIMS Mathematics 7, no. 10 (2022): 19180–201. http://dx.doi.org/10.3934/math.20221053.

Full text

Abstract:

<abstract><p>This paper is concerned with the robust stabilization problem for uncertain saturated linear systems with multiple discrete delays. First of all, a new distributed-delay-dependent polytopic approach is proposed, and a new type of Lyapunov-Krasovskii functional is constructed. Then, by further incorporating some integral inequalities, both stabilization and robust stabilization conditions are proposed in terms of linear matrix inequalities under which the closed-loop systems are asymptotically stable for admissible initial conditions. Finally, a simulation example is gi

APA, Harvard, Vancouver, ISO, and other styles

35

Gözen, Melek. "Boundedness of Vector Linéard Equation with Multiple Variable Delays." Mathematics 12, no. 5 (2024): 769. http://dx.doi.org/10.3390/math12050769.

Full text

Abstract:

In this article, we consider a system of ordinary differential equations (ODEs) of second order with two variable time delays. We obtain new conditions for uniform ultimate bounded (UUB) solutions of the considered system. The technique of the proof is based on the Lyapunov–Krasovskii functional (LKF) method using a new LKF. The main result of this article extends and improves a recent result for ODEs of second order with a constant delay to a more general system of ODEs of second order with two variable time delays. In this particular case, we also give a numerical example to verify the appli

APA, Harvard, Vancouver, ISO, and other styles

36

Li, Yan Long, Zhong Lin Zhang, Wei Hua Tian, and Yan Wang. "Guaranteed Cost Control of Multiple-Time-Delay T-S Fuzzy Descriptor Systems." Applied Mechanics and Materials 241-244 (December 2012): 1154–58. http://dx.doi.org/10.4028/www.scientific.net/amm.241-244.1154.

Full text

Abstract:

In this paper, we focus on the problem of guaranteed cost control for a class of nonlinear systems described by the Takagi-Sugeno (T-S ) fuzzy descriptor model with multiple time delays. A quadratic cost function is used as a guaranteed performance index. The descriptor type of Lyapunov-Krasovskii functional is employed to analyze the asymptotic stability and design the guaranteed cost controller. The sufficient conditions for the existence of the guaranteed cost controller are given in terms of LMIs. At last, an illustrative example is provided to show the effectiveness of the proposed method

APA, Harvard, Vancouver, ISO, and other styles

37

Zhao, Ming, Yueying Wang, Pingfang Zhou, and Dengping Duan. "Stability Criteria for Singular Stochastic Hybrid Systems with Mode-Dependent Time-Varying Delay." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/409819.

Full text

Abstract:

This paper provides a delay-dependent criterion for a class of singular stochastic hybrid systems with mode-dependent time-varying delay. In order to reduce conservatism, a new Lyapunov-Krasovskii functional is constructed by decomposing the delay interval into multiple subintervals. Based on the new functional, a stability criterion is derived in terms of strict linear matrix inequality (LMI), which guarantees that the considered system is regular, impulse-free, and mean-square exponentially stable. Numerical examples are presented to illustrate the effectiveness of proposed method.

APA, Harvard, Vancouver, ISO, and other styles

38

Wan, Li, and Qinghua Zhou. "Attractor Analysis of Cohen–Grossberg Neural Networks with Multiple Time-Varying Delays." International Journal of Bifurcation and Chaos 31, no. 02 (2021): 2150022. http://dx.doi.org/10.1142/s021812742150022x.

Full text

Abstract:

This paper investigates the pullback attractor of Cohen–Grossberg neural networks with multiple time-varying delays. Compared with the existing references, the networks considered here are more general and cannot be expressed in the vector-matrix form due to multiple time-varying delays. After constructing a proper Lyapunov–Krasovskii functional and eliminating the terms involving multiple time-varying delays, two sets of new sufficient criteria on the existence of the pullback attractor are derived based on the theory of pullback attractors. In the end, two examples are given to demonstrate t

APA, Harvard, Vancouver, ISO, and other styles

39

Sun, Xiaoqiang, and Weijie Mao. "H∞Controller Design for Asynchronous Hybrid Systems with Multiple Delays." Mathematical Problems in Engineering 2016 (2016): 1–11. http://dx.doi.org/10.1155/2016/2416193.

Full text

Abstract:

Solutions for theH∞synthesis problems of asynchronous hybrid systems with input-output delays are proposed. The continuous-time lifting approach of sampled-data systems is extended to a hybrid system with multiple delays, and some feasible formulas to calculate the operators of the equivalent discrete-time (DT) system are given. Different from the existing methods derived from symplectic pair theory or by state augmentation, a Lyapunov-Krasovskii functional to solve the synthesis problem is explicitly constructed. The delay-dependent stability conditions we obtained can be described in terms o

APA, Harvard, Vancouver, ISO, and other styles

40

Kermani, Marwen, and Anis Sakly. "M-Matrix-Based Robust Stability and Stabilization Criteria for Uncertain Switched Nonlinear Systems with Multiple Time-Varying Delays." Mathematical Problems in Engineering 2021 (January 30, 2021): 1–17. http://dx.doi.org/10.1155/2021/8871603.

Full text

Abstract:

This paper focuses on the robust stability and the memory feedback stabilization problems for a class of uncertain switched nonlinear systems with multiple time-varying delays. Especially, the considered time delays depend on the subsystem number. Based on a novel common Lyapunov functional, the aggregation techniques, and the Borne and Gentina criterion, new sufficient robust stability and stabilization conditions under arbitrary switching are established. Compared with existing results, the proposed criteria are explicit, simple to use, and obtained without finding a common Lyapunov function

APA, Harvard, Vancouver, ISO, and other styles

41

Amin, Karim, Irina Badralexi, Andrei Halanay, and Ragheb Mghames. "A stability theorem for equilibria of delay differential equations in a critical case with application to a model of cell evolution." Mathematical Modelling of Natural Phenomena 16 (2021): 36. http://dx.doi.org/10.1051/mmnp/2021021.

Full text

Abstract:

In this paper the stability of the zero equilibrium of a system with time delay is studied. The critical case of a multiple zero root of the characteristic equation of the linearized system is treated by applying a Malkin type theorem and using a complete Lyapunov-Krasovskii functional. An application to a model for malaria under treatment considering the action of the immune system is presented.

APA, Harvard, Vancouver, ISO, and other styles

42

Zhou, Zhigang, Li Wan, Qunjiao Zhang, Hongbo Fu, Huizhen Li, and Qinghua Zhou. "Exponential stability of periodic solution for stochastic neural networks involving multiple time-varying delays." AIMS Mathematics 9, no. 6 (2024): 14932–48. http://dx.doi.org/10.3934/math.2024723.

Full text

Abstract:

<abstract><p>This paper discusses the exponential stability of periodic solutions for stochastic neural networks with multiple time-varying delays. For these networks, sufficient conditions in the linear matrix inequality forms are rare in the literature. We constructed an appropriate Lyapunov-Krasovskii functional to eliminate the items with multiple delays and establish some sufficient conditions in linear matrix inequality forms, to ensure exponential stability of the periodic solutions. Several examples are provided to demonstrate that our results are effective and less conserv

APA, Harvard, Vancouver, ISO, and other styles

43

Wang, Xiang-Bo, Hong-An Tang, Qingling Xia, Quanjun Zhao, and Gang-Yi Tan. "Feedback Control for Passivity of Memristor-Based Multiple Weighted Coupled Neural Networks." Discrete Dynamics in Nature and Society 2022 (February 1, 2022): 1–9. http://dx.doi.org/10.1155/2022/6920495.

Full text

Abstract:

This paper investigates the passivity of multiple weighted coupled memristive neural networks (MWCMNNs) based on the feedback control. Firstly, a kind of memristor-based coupled neural network model with multiple weights is presented for the first time. Furthermore, a novel passivity criterion for MWCMNNs is established by constructing an appropriate Lyapunov functional and developing a suitable feedback controller. In addition, with the assistance of some inequality techniques, sufficient conditions for ensuring the input strict passivity and output strict passivity of MWCMNNs are derived. Fi

APA, Harvard, Vancouver, ISO, and other styles

44

Faydasicok, Ozlem. "A new Lyapunov functional for stability analysis of neutral-type Hopfield neural networks with multiple delays." Neural Networks 129 (September 2020): 288–97. http://dx.doi.org/10.1016/j.neunet.2020.06.013.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Cessi, Paola, and W. R. Young. "Multiple equilibria in two-dimensional thermohaline circulation." Journal of Fluid Mechanics 241 (August 1992): 291–309. http://dx.doi.org/10.1017/s0022112092002040.

Full text

Abstract:

As a model of the thermohaline circulation of the ocean we study the two-dimensional Boussinesq equations forced by prescribing the surface temperature and the surface salinity flux. We simplify the equations of motion using an expansion based on the small aspect ratio of the domain. The result is an amplitude equation governing the evolution of the depth averaged salinity field. This amplitude equation has multiple, linearly stable equilibria. The simplified dynamics has a Lyapunov functional and this variational structure permits a simple characterization of the relative stability of the alt

APA, Harvard, Vancouver, ISO, and other styles

46

Wang, Zhen, Yuanfu Shao, Xianjia Fang, and Xiangmin Ma. "An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator." Discrete Dynamics in Nature and Society 2016 (2016): 1–14. http://dx.doi.org/10.1155/2016/3897234.

Full text

Abstract:

An impulsive two-prey and one-predator model with square root functional responses, mutual interference, and integrated pest management is constructed. By using techniques of impulsive perturbations, comparison theorem, and Floquet theory, the existence and global asymptotic stability of prey-eradication periodic solution are investigated. We use some methods and sufficient conditions to prove the permanence of the system which involve multiple Lyapunov functions and differential comparison theorem. Numerical simulations are given to portray the complex behaviors of this system. Finally, we an

APA, Harvard, Vancouver, ISO, and other styles

47

WANG, HUI, CHUANDONG LI, and HONGBING XU. "GLOBAL ROBUST STABILITY ANALYSIS FOR NEURAL NETWORKS WITH CONSTANT OR VARIABLE DELAYS." Modern Physics Letters B 24, no. 03 (2010): 335–55. http://dx.doi.org/10.1142/s021798491002241x.

Full text

Abstract:

In this paper, some criteria are derived for global robust asymptotic stability of a class of interval neural networks with multiple constant or time-varying delays via the Lyapunov–Krasovskii stability theory for functional differential equations and the linear matrix inequality (LMI) approach. The main results are applied to the uncertain systems with single delay, and several new criteria to determine the asymptotical convergence of these systems are obtained. Numerical examples are also given to show the effectiveness of our results.

APA, Harvard, Vancouver, ISO, and other styles

48

Zhang, Xiaoyu, Cheng Gong та Zhen Zeng. "A Novel Approach toℓ2-ℓ∞Filter Design for T-S Fuzzy Systems with Multiple Time-Varying Delays". Mathematical Problems in Engineering 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/298268.

Full text

Abstract:

This paper investigates theℓ2-ℓ∞filtering problem of T-S fuzzy systems with multiple time-varying delays. First, by the Lyapunov-Krasovskii functional approach and free-weighting matrix method, a delay-dependent sufficient condition onℓ2-ℓ∞-disturbance attenuation is presented, in which both stability and prescribedℓ2-ℓ∞performance are required to be achieved for the filtering-error systems. Then, based on the condition, the full-order and reduced-order delay-dependentℓ2-ℓ∞filter design schemes for T-S fuzzy multiple time-varying delays systems are developed in terms of linear matrix inequalit

APA, Harvard, Vancouver, ISO, and other styles

49

Zhou, Wuneng, Xueqing Yang, Jun Yang, and Jun Zhou. "Stochastic Synchronization of Neutral-Type Neural Networks with Multidelays Based onM-Matrix." Discrete Dynamics in Nature and Society 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/826810.

Full text

Abstract:

The problem of stochastic synchronization of neutral-type neural networks with multidelays based onM-matrix is researched. Firstly, we designed a control law of stochastic synchronization of the neural-type and multiple time-delays neural network. Secondly, by making use of Lyapunov functional andM-matrix method, we obtained a criterion under which the drive and response neutral-type multiple time-delays neural networks with stochastic disturbance and Markovian switching are stochastic synchronization. The synchronization condition is expressed as linear matrix inequality which can be easily s

APA, Harvard, Vancouver, ISO, and other styles

50

He, Xing, Li-Jun Song, Yu-Bin Wu, and Zi-Yu Zhou. "Novel Robust Stability Criteria of Uncertain Systems with Interval Time-Varying Delay Based on Time-Delay Segmentation Method and Multiple Integrals Functional." Complexity 2020 (December 9, 2020): 1–13. http://dx.doi.org/10.1155/2020/8841137.

Full text

Abstract:

Interval time-varying delay is common in control process, e.g., automatic robot control system, and its stability analysis is of great significance to ensure the reliable control of industrial processes. In order to improve the conservation of the existing robust stability analysis method, this paper considers a class of linear systems with norm-bounded uncertainty and interval time-varying delay as the research object. Less conservative robust stability criterion is put forward based on augmented Lyapunov-Krasovskii (L-K) functional method and reciprocally convex combination. Firstly, the del

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!