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Journal articles on the topic 'SYSTEME NON-LINEAIRES A DELAIS'

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Published: 4 June 2021
Last updated: 1 February 2022

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1

WATANABE, KEIJI. "Stabilization of linear systems with non-commensurate delays." International Journal of Control 48, no. 1 (July 1988): 333–42. http://dx.doi.org/10.1080/00207178808906179.

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2

Shen, J., J. Cao, and J. Lu. "Consensus of fractional-order systems with non-uniform input and communication delays." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 226, no. 2 (August 29, 2011): 271–83. http://dx.doi.org/10.1177/0959651811412132.

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This paper studies the consensus problems of fractional-order systems with non-uniform input and communication delays over directed static networks. Based on a frequency-domain approach and generalized Nyquist stability criterion, sufficient conditions are obtained to ensure the consensus of the fractional-order systems with simultaneously non-uniform input and communication delays. When the fractional-order [Formula: see text], it is found that the consensus condition is dependent on input delays but independent on communication delays. Surprisingly, when there is no input delay, consensus can be realized whatever the communication delays are. However, a counter-example shows that communication delays will have a great influence on the consensus condition when the fractional-order [Formula: see text]. Moreover, the bounds of input and communication delays are explicitly given to guarantee the consensus of the delayed fractional-order systems with fractional-order [Formula: see text] under an undirected interaction graph.
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3

Wang, Rong-Nian, Ti-Jun Xiao, and Jin Liang. "Coupled non-local periodic parabolic systems with time delays." Applicable Analysis 87, no. 4 (April 2008): 479–95. http://dx.doi.org/10.1080/00036810801964198.

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4

TATAR, NASSER-EDDINE. "Control of systems with Holder continuous functions in the distributed delays." Carpathian Journal of Mathematics 30, no. 1 (2014): 123–28. http://dx.doi.org/10.37193/cjm.2014.01.17.

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An exponential stabilization result is proved for a doubly nonlinear distributed delays system of ordinary differential equations. The problem involves non-Lipschitz continuous distributed delays of non-Lipschitz continuous ”activation” functions. This extends similar previous works where the distributed delays as well as the activation functions were assumed to be Lipschitz continuous.
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5

Lafuerza, L. F., and R. Toral. "Stochastic description of delayed systems." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, no. 1999 (September 28, 2013): 20120458. http://dx.doi.org/10.1098/rsta.2012.0458.

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We study general stochastic birth and death processes including delay. We develop several approaches for the analytical treatment of these non-Markovian systems, valid, not only for constant delays, but also for stochastic delays with arbitrary probability distributions. The interplay between stochasticity and delay and, in particular, the effects of delay in the fluctuations and time correlations are discussed.
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6

Arthi, G., and K. Suganya. "Controllability of non-linear fractional-order systems with damping behaviour and multiple delays." IMA Journal of Mathematical Control and Information 38, no. 3 (May 11, 2021): 794–821. http://dx.doi.org/10.1093/imamci/dnab010.

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Abstract A controllability analysis of both linear and non-linear fractional-order systems with damping behaviour and multiple delays is studied. We derived the controllability result for damped system with multi-term fractional order and multiple delays by introducing some lemmas with the help of Laplace transform properties and Mittag–Leffler function. Further, some new sufficient conditions ensuring controllability for a class of non-linear multi-term fractional-order damped systems with multiple delays are established by utilizing fractional Caputo derivatives and Schauder’s fixed point theorem. Moreover, as applications that demonstrate the proposed results, two examples are presented.
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7

Gumussoy, Suat. "Relative stability analysis of closed-loop SISO dead-time systems: non-imaginary axis case." Transactions of the Institute of Measurement and Control 34, no. 4 (March 11, 2011): 411–21. http://dx.doi.org/10.1177/0142331210385854.

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We present a numerical method to analyse the relative stability of closed-loop single-input–single-output (SISO) dead-time systems on a given left complex half-plane for all positive delays. The well-known boundary crossing method for the imaginary axis is extended to a given vertical line stability boundary in the complex plane for these types of systems. The method allows us to compute the characteristic roots crossing the relative stability boundary and their corresponding delays up to a maximum predefined delay. Based on this method, we analyse the relative stability of the closed-loop system for all positive delays. Both numerical methods are effective for high-order SISO dead-time systems.
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8

Udaltsov, Vladimir S., Jean-Pierre Goedgebuer, Laurent Larger, and William T. Rhodes. "Dynamics of non-linear feedback systems with short time-delays." Optics Communications 195, no. 1-4 (August 2001): 187–96. http://dx.doi.org/10.1016/s0030-4018(01)01343-8.

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9

Nguyen, Cuong M., Pubudu N. Pathirana, and Hieu Trinh. "Robust state estimation for non-linear systems with unknown delays." IET Control Theory & Applications 13, no. 8 (May 21, 2019): 1147–54. http://dx.doi.org/10.1049/iet-cta.2018.6248.

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10

Oguchi, Toshiki, Atsushi Watanabe, and Takayoshi Nakamizo. "Finite spectrum assignment for nonlinear systems with non-commensurate delays." IFAC Proceedings Volumes 32, no. 2 (July 1999): 1101–6. http://dx.doi.org/10.1016/s1474-6670(17)56186-8.

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11

Haas, Peter J. "Estimation Methods for Delays in Non-regenerative Discrete-Event Systems." Stochastic Models 19, no. 1 (January 4, 2003): 1–35. http://dx.doi.org/10.1081/stm-120018138.

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12

Haas, Peter J. "Estimation of delays in non-regenerative discrete-event stochastic systems." ACM SIGMETRICS Performance Evaluation Review 28, no. 4 (March 2001): 36–38. http://dx.doi.org/10.1145/544397.544411.

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13

Li, Li. "New Approach to Non-Fragile Control of Uncertain Fuzzy Systems with Time-Delay." Applied Mechanics and Materials 433-435 (October 2013): 1131–35. http://dx.doi.org/10.4028/www.scientific.net/amm.433-435.1131.

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This paper focuses on the delay-dependent stability analysis and stabilization for T-S fuzzy system systems with state and input delays. Some new and less conservative delay-dependent small stability conditions are explicitly obtained. The upper bounds of time-delays are obtained by using small convex optimization.Finally, a numerical example is included to show the effectiveness.
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14

Hou, Zhanyuan. "Permanence criteria for Kolmogorov systems with delays." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 144, no. 3 (May 16, 2014): 511–31. http://dx.doi.org/10.1017/s0308210512000297.

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In this paper, a class of Kolmogorov systems with delays are studied. Sufficient conditions are provided for a system to have a compact uniform attractor. Then Jansen's result for autonomous replicator and Lotka–Volterra systems has been extended to delayed non-autonomous Kolmogorov systems with periodic or autonomous Lotka–Volterra subsystems. Thus, simple algebraic conditions are obtained for partial permanence and permanence. An outstanding feature of all these results is that the conditions are independent of the size and distribution of the delays.
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15

Suyama, Koichi. "Finite Spectrum Assignment for Linear Systems With Non-Commensurate Time-Delays." IFAC Proceedings Volumes 31, no. 19 (July 1998): 39–44. http://dx.doi.org/10.1016/s1474-6670(17)41125-6.

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16

Suyama, Koichi. "Finite spectrum assignment for linear systems with non-commensurate time-delays." Automatica 37, no. 1 (January 2001): 43–49. http://dx.doi.org/10.1016/s0005-1098(00)00121-7.

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17

Teng, Zhidong, and Xamxinur Abdurahman. "On the extinction for non-autonomous food chain systems with delays." Nonlinear Analysis: Real World Applications 7, no. 2 (April 2006): 167–86. http://dx.doi.org/10.1016/j.nonrwa.2005.02.002.

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18

Luan, X., F. Liu, and P. Shi. "Passive output feedback control for non-linear systems with time delays." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 223, no. 6 (June 26, 2009): 737–43. http://dx.doi.org/10.1243/09596518jsce778.

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This paper focuses on the passive output feedback control problem for a class of non-linear systems with time delays. By using multilayer neural networks as an off-line-aided design tool, a dynamic output feedback controller with certain dissipation is developed using the passive control theory in terms of linear matrix inequalities (LMIs), which guarantees the closed-loop system asymptotically stable and strictly passive. It is shown that the solvability of the passive controller design problem is implied by the feasibility of LMIs. A numerical example is given to demonstrate the validity of the proposed approach.
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19

Balachandran, K., and T. Nandha Gopal. "Approximate controllability of non-linear evolution systems with time-varying delays." IMA Journal of Mathematical Control and Information 23, no. 4 (December 1, 2006): 499–513. http://dx.doi.org/10.1093/imamci/dnl002.

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20

Le, Nguyen Nhat. "Stability and resolution of non-linear dynamic systems containing time delays." Vietnam Journal of Mechanics 16, no. 3 (September 30, 1994): 17–22. http://dx.doi.org/10.15625/0866-7136/10170.

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21

Zhang, J. H., A. P. Wang, and H. Wang. "Minimum entropy control of non-linear TITO systems with random delays." International Journal of Advanced Mechatronic Systems 1, no. 4 (2009): 258. http://dx.doi.org/10.1504/ijamechs.2009.026331.

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22

Kosugi, Nobuko, and Koichi Suyama. "Finite spectrum assignment of multi-input systems with non-commensurate delays." International Journal of Control 85, no. 9 (September 2012): 1197–208. http://dx.doi.org/10.1080/00207179.2012.679974.

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23

Zhang, Dan, Wenjian Cai, and Qing-Guo Wang. "Robust non-fragile filtering for networked systems with distributed variable delays." Journal of the Franklin Institute 351, no. 7 (July 2014): 4009–22. http://dx.doi.org/10.1016/j.jfranklin.2014.03.009.

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24

Amster, Pablo, and Lev Idels. "Existence theorems for some abstract nonlinear non-autonomous systems with delays." Communications in Nonlinear Science and Numerical Simulation 19, no. 9 (September 2014): 2974–82. http://dx.doi.org/10.1016/j.cnsns.2014.01.026.

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25

Ruan, Shigui, and Junjie Wei. "Periodic solutions of planar systems with two delays." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 129, no. 5 (1999): 1017–32. http://dx.doi.org/10.1017/s0308210500031061.

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In this paper, we consider a planar system with two delays:ẋ1(t) = −a0x1(t) + a1F1 (x1(t − τ1), x2(τ−t2)).ẋ2(t) = −b0x2(t) + b1F2 (x1(t − τ1), x2(t − τxs2)).Firstly, linearized stability and local Hopf bifurcations are studied. Then, existence conditions for non-constant periodic solutions are derived using degree theory methods. Finally, a simple neural network model with two delays is analysed as an example.
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26

Mallick, Andrew A., and Finbar JK O'Callaghan. "Research governance delays for a multicentre non-interventional study." Journal of the Royal Society of Medicine 102, no. 5 (May 1, 2009): 195–98. http://dx.doi.org/10.1258/jrsm.2009.080397.

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Summary Objectives To evaluate the delay in research governance approval for a non-interventional, multicentre study in the United Kingdom. Design The times taken from application to the granting of research governance approval for an observational study of childhood stroke with ethical approval were prospectively recorded. Setting Ninety-two acute NHS Trusts in the United Kingdom. Main outcome measures Median delay (in working days) between application and research governance approval. Results The median delay between application and research governance approval was 43 working days (interquartile range 27–62, range 0–147). The reason for delay beyond 43 working days was inexplicable in 30 (70%) of 44 trusts. Conclusions There is considerable variation in the processes undertaken by research and development departments that can lead to significant delays in commencing an ethically approved study. Any improvements to the systems for gaining approval are welcome.
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27

Li, Bo, Yun Wang, and Xiaobing Zhou. "Multi-Switching Combination Synchronization of Three Fractional-Order Delayed Systems." Applied Sciences 9, no. 20 (October 15, 2019): 4348. http://dx.doi.org/10.3390/app9204348.

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Multi-switching combination synchronization of three fractional-order delayed systems is investigated. This is a generalization of previous multi-switching combination synchronization of fractional-order systems by introducing time-delays. Based on the stability theory of linear fractional-order systems with multiple time-delays, we propose appropriate controllers to obtain multi-switching combination synchronization of three non-identical fractional-order delayed systems. In addition, the results of our numerical simulations show that they are in accordance with the theoretical analysis.
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28

CHEN, XIAOXING. "PERMANENCE IN A DISCRETE n-SPECIES NON-AUTONOMOUS LOTKA–VOLTERRA COMPETITIVE SYSTEMS WITH INFINITE DELAYS AND FEEDBACK CONTROL." Advances in Complex Systems 10, no. 04 (December 2007): 463–77. http://dx.doi.org/10.1142/s0219525907001239.

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In this paper, we deal with a discrete n-species non-autonomous Lotka–Volterra competitive systems with infinite delays and feedback control, obtain sufficient conditions for the permanence of the systems.
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29

SUYAMA, Koichi, Young Taek HYUN, and Toshiyuki KITAMORI. "A Finite Spectrum Assignment for Scalar Systems with Non-Commensurate Time-Delays." Transactions of the Society of Instrument and Control Engineers 25, no. 12 (1989): 1303–9. http://dx.doi.org/10.9746/sicetr1965.25.1303.

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30

Ivanov, Anatoli, and Bernhard Lani-Wayda. "Periodic solutions for three-dimensional non-monotone cyclic systems with time delays." Discrete and Continuous Dynamical Systems 11, no. 2-3 (June 2004): 667–92. http://dx.doi.org/10.3934/dcds.2004.11.667.

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31

Zhang, Long, and Zhidong Teng. "-species non-autonomous Lotka–Volterra competitive systems with delays and impulsive perturbations." Nonlinear Analysis: Real World Applications 12, no. 6 (December 2011): 3152–69. http://dx.doi.org/10.1016/j.nonrwa.2011.05.015.

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32

Bliman, Pierre-Alexandre. "Extension of Popov absolute stability criterion to non-autonomous systems with delays." International Journal of Control 73, no. 15 (January 2000): 1349–61. http://dx.doi.org/10.1080/002071700445370.

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33

Mahmoud, M. S., and Y. Xia. "Improved results for non-linear discrete-time systems with time-varying delays." IMA Journal of Mathematical Control and Information 26, no. 4 (November 23, 2009): 467–94. http://dx.doi.org/10.1093/imamci/dnp026.

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34

Mahmoud, M. S., and M. H. Baig. "Networked feedback control for systems with quantization and non-stationary random delays." IMA Journal of Mathematical Control and Information 32, no. 1 (November 6, 2013): 119–40. http://dx.doi.org/10.1093/imamci/dnt033.

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35

Li, Min, and Qinzhen Huang. "Non-fragile passive control for Markovian jump systems with time-varying delays." Physica A: Statistical Mechanics and its Applications 534 (November 2019): 122332. http://dx.doi.org/10.1016/j.physa.2019.122332.

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36

Rao, A. Seshagiri, and M. Chidambaram. "Smith delay compensator for multivariable non-square systems with multiple time delays." Computers & Chemical Engineering 30, no. 8 (June 2006): 1243–55. http://dx.doi.org/10.1016/j.compchemeng.2006.02.017.

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37

Gao, F., F. Yuan, and Y. Wu. "State-feedback stabilisation for stochastic non-holonomic systems with time-varying delays." IET Control Theory & Applications 6, no. 17 (November 15, 2012): 2593–600. http://dx.doi.org/10.1049/iet-cta.2011.0746.

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38

Gao, Fangzheng, Fushun Yuan, and Yuqiang Wu. "Global stabilisation of high-order non-linear systems with time-varying delays." IET Control Theory & Applications 7, no. 13 (September 5, 2013): 1737–44. http://dx.doi.org/10.1049/iet-cta.2013.0435.

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39

Wan, Jun, Zhongrui Hu, Jianping Cai, Yunxia Luo, Congli Mei, and Antai Han. "Non-fragile dissipative filtering of cyber–physical systems with random sensor delays." ISA Transactions 104 (September 2020): 115–21. http://dx.doi.org/10.1016/j.isatra.2020.01.001.

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40

Kim, Beomsoo, Jaesung Kwon, Sungwoong Choi, and Jeonghyeon Yang. "Feedback Stabilization of First Order Neutral Delay Systems Using the Lambert W Function." Applied Sciences 9, no. 17 (August 28, 2019): 3539. http://dx.doi.org/10.3390/app9173539.

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This paper presents a new approach to stabilize the first order neutral delay differential systems with two time delays. First, we provided a few oscillation and non-oscillation criteria for the neutral delay differential equations using spectrum analysis and the Lambert W function. These conditions were explicit and the real roots were analytically expressed in terms of the Lambert W function in the case of non-oscillation. Second, we designed a stabilizing state feedback controller for the neutral delay differential systems with two time delays, wherein the proportional and derivative gains were analytically determined using the results of the non-oscillation criteria. A few examples are given to illustrate the main results.
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41

Otto, A., W. Just, and G. Radons. "Nonlinear dynamics of delay systems: an overview." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2153 (July 22, 2019): 20180389. http://dx.doi.org/10.1098/rsta.2018.0389.

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Time delays play an important role in many fields such as engineering, physics or biology. Delays occur due to finite velocities of signal propagation or processing delays leading to memory effects and, in general, infinite-dimensional systems. Time delay systems can be described by delay differential equations and often include non-negligible nonlinear effects. This overview article introduces the theme issue ‘Nonlinear dynamics of delay systems’, which contains new fundamental results in this interdisciplinary field as well as recent developments in applications. Fundamentally, new results were obtained especially for systems with time-varying delay and state-dependent delay and for delay system with noise, which do often appear in real systems in engineering and nature. The applications range from climate modelling over network dynamics and laser systems with feedback to human balancing and machine tool chatter. This article is part of the theme issue ‘Nonlinear dynamics of delay systems’.
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42

Xing, Mali, and Feiqi Deng. "Scaled consensus for multi-agent systems with communication time delays." Transactions of the Institute of Measurement and Control 40, no. 8 (May 30, 2017): 2651–59. http://dx.doi.org/10.1177/0142331217708240.

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This paper aims to solve the scaled consensus problem of general linear multi-agent systems with non-uniform time-varying communication time-delay. The proposed consensus protocol is based on the low gain solution of a parametric algebraic Riccati equation. Based on the proposed consensus protocol, we obtain the sufficient condition for scaled consensus of multi-agent systems with communication time-delay. The results reveal that the upper bound of time-delay can be arbitrarily large if all poles of the system are zero. For the case of non-zero poles on the imaginary axis, the maximal admissible upper bound of the time-varying delay is provided. Simulation results are performed to demonstrate the scaled consensus performance of multi-agent systems.
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43

Zare, Assef, Seyede Zeynab Mirrezapour, Majid Hallaji, Afshin Shoeibi, Mahboobeh Jafari, Navid Ghassemi, Roohallah Alizadehsani, and Amir Mosavi. "Robust Adaptive Synchronization of a Class of Uncertain Chaotic Systems with Unknown Time-Delay." Applied Sciences 10, no. 24 (December 11, 2020): 8875. http://dx.doi.org/10.3390/app10248875.

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In this paper, a robust adaptive control strategy is proposed to synchronize a class of uncertain chaotic systems with unknown time delays. Using Lyapunov theory and Lipschitz conditions in chaotic systems, the necessary adaptation rules for estimating uncertain parameters and unknown time delays are determined. Based on the proposed adaptation rules, an adaptive controller is recommended for the robust synchronization of the aforementioned uncertain systems that prove the robust stability of the proposed control mechanism utilizing the Lyapunov theorem. Finally, to evaluate the proposed robust and adaptive control mechanism, the synchronization of two Jerk chaotic systems with finite non-linear uncertainty and external disturbances as well as unknown fixed and variable time delays are simulated. The simulation results confirm the ability of the proposed control mechanism in robust synchronization of the uncertain chaotic systems as well as to estimate uncertain and unknown parameters.
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44

MUHAMMADHAJI, AHMADJAN, ZHIDONG TENG, and LONG ZHANG. "PERMANENCE IN GENERAL NON-AUTONOMOUS LOTKA–VOLTERRA PREDATOR–PREY SYSTEMS WITH DISTRIBUTED DELAYS AND IMPULSES." Journal of Biological Systems 21, no. 02 (May 27, 2013): 1350012. http://dx.doi.org/10.1142/s0218339013500125.

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In this paper, we study a general non-autonomous Lotka–Volterra predator–prey system with distributed delays and fixed time impulsive effects. Necessary and sufficient integral conditions on the permanence of species are established.
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45

Qiu, J., X. Zhu, and L. Su. "Non-fragile H∞ guaranteed cost controller design of uncertain non-linear stochastic neutral systems with distributed delays." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 224, no. 8 (September 8, 2010): 904–17. http://dx.doi.org/10.1243/09596518jsce1038.

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46

SUYAMA, Koichi, and Toshiyuki KITAMORI. "A Study on Finite Spectrum Assignment for Systems with Non-Commensurate Time-Delays." Transactions of the Society of Instrument and Control Engineers 27, no. 7 (1991): 769–75. http://dx.doi.org/10.9746/sicetr1965.27.769.

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47

Wang, Yejuan, and Meiyu Sui. "Finite lattice approximation of infinite lattice systems with delays and non-Lipschitz nonlinearities." Asymptotic Analysis 106, no. 3-4 (February 5, 2018): 169–203. http://dx.doi.org/10.3233/asy-171444.

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48

Khamitova, Anna D. "Characteristic polynomials for a cycle of non-linear discrete systems with time delays." Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes 12, no. 4 (2016): 104–15. http://dx.doi.org/10.21638/11701/spbu10.2016.410.

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49

La-inchua, T., and P. Niamsup. "Exponential stability of uncertain switched systems with multiple non-differentiable time-varying delays." Applied Mathematical Sciences 7 (2013): 5025–49. http://dx.doi.org/10.12988/ams.2013.36330.

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50

Tissir, El Houssaine. "Delay-dependent robust stability of linear systems with non-commensurate time varying delays." International Journal of Systems Science 38, no. 9 (September 2007): 749–57. http://dx.doi.org/10.1080/00207720701597415.

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