Log in

Relevant bibliographies by topics / Modèles 2D de Roesser / Journal articles

To see the other types of publications on this topic, follow the link: Modèles 2D de Roesser.

Journal articles on the topic 'Modèles 2D de Roesser'

Author: Grafiati

Published: 1 February 2023

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 'Modèles 2D de Roesser.'

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

Kaczorek, Tadeusz, and Krzysztof Rogowski. "Positivity and stabilization of fractional 2D linear systems described by the Roesser model." International Journal of Applied Mathematics and Computer Science 20, no. 1 (March 1, 2010): 85–92. http://dx.doi.org/10.2478/v10006-010-0006-6.

Full text

Abstract:

Positivity and stabilization of fractional 2D linear systems described by the Roesser modelA new class of fractional 2D linear discrete-time systems is introduced. The fractional difference definition is applied to each dimension of a 2D Roesser model. Solutions of these systems are derived using a 2DZ-transform. The classical Cayley-Hamilton theorem is extended to 2D fractional systems described by the Roesser model. Necessary and sufficient conditions for the positivity and stabilization by the state-feedback of fractional 2D linear systems are established. A procedure for the computation of a gain matrix is proposed and illustrated by a numerical example.

APA, Harvard, Vancouver, ISO, and other styles

2

Kaczorek, Tadeusz. "The Choice of the Forms of Lyapunov Functions for a Positive 2D Roesser Model." International Journal of Applied Mathematics and Computer Science 17, no. 4 (December 1, 2007): 471–75. http://dx.doi.org/10.2478/v10006-007-0039-7.

Full text

Abstract:

The Choice of the Forms of Lyapunov Functions for a Positive 2D Roesser ModelThe appropriate choice of the forms of Lyapunov functions for a positive 2D Roesser model is addressed. It is shown that for the positive 2D Roesser model: (i) a linear form of the state vector can be chosen as a Lyapunov function, (ii) there exists a strictly positive diagonal matrixPsuch that the matrixATPA - Pis negative definite. The theoretical deliberations will be illustrated by numerical examples.

APA, Harvard, Vancouver, ISO, and other styles

3

Wang, Lu, Guopeng Wang, and Wen Qin. "Finite frequency H∞ filtering for uncertain two-dimensional continuous systems." Transactions of the Institute of Measurement and Control 41, no. 1 (February 21, 2018): 55–63. http://dx.doi.org/10.1177/0142331217752042.

Full text

Abstract:

This paper investigates the problem of robust finite frequency (FF) [Formula: see text] filtering for two-dimensional (2D) continuous systems described by the Roesser state-space model with norm-bounded uncertainties. A further generalized Kalman–Yakubivich–Popov (KYP) lemma for 2D continuous Roesser systems is presented in a unified form. By the given generalized KYP lemma, the problem of standard [Formula: see text] filtering for uncertain 2D continuous Roesser systems is extended to the FF case. Finally, an illustrative example is provided to validate the effectiveness of the proposed method.

APA, Harvard, Vancouver, ISO, and other styles

4

Bachelier, Olivier, Nima Yeganefar, Driss Mehdi, and Wojciech Paszke. "On Stabilization of 2D Roesser Models." IEEE Transactions on Automatic Control 62, no. 5 (May 2017): 2505–11. http://dx.doi.org/10.1109/tac.2016.2601238.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Busłowicz, Mikołaj, and Andrzej Ruszewski. "Computer methods for stability analysis of the Roesser type model of 2D continuous-discrete linear systems." International Journal of Applied Mathematics and Computer Science 22, no. 2 (June 1, 2012): 401–8. http://dx.doi.org/10.2478/v10006-012-0030-9.

Full text

Abstract:

Computer methods for stability analysis of the Roesser type model of 2D continuous-discrete linear systemsAsymptotic stability of models of 2D continuous-discrete linear systems is considered. Computer methods for investigation of the asymptotic stability of the Roesser type model are given. The methods require computation of eigenvalue-loci of complex matrices or evaluation of complex functions. The effectiveness of the stability tests is demonstrated on numerical examples.

APA, Harvard, Vancouver, ISO, and other styles

6

Bachelier, Olivier, Wojciech Paszke, Nima Yeganefar, Driss Mehdi, and Abdelmadjid Cherifi. "LMI Stability Conditions for 2D Roesser Models." IEEE Transactions on Automatic Control 61, no. 3 (March 2016): 766–70. http://dx.doi.org/10.1109/tac.2015.2444051.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Napp, Diego, Ricardo Pereira, Raquel Pinto, and Paula Rocha. "Realization of 2D (2,2)–Periodic Encoders by Means of 2D Periodic Separable Roesser Models." International Journal of Applied Mathematics and Computer Science 29, no. 3 (September 1, 2019): 527–39. http://dx.doi.org/10.2478/amcs-2019-0039.

Full text

Abstract:

Abstract It is well known that convolutional codes are linear systems when they are defined over a finite field. A fundamental issue in the implementation of convolutional codes is to obtain a minimal state representation of the code. Compared with the literature on one-dimensional (1D) time-invariant convolutional codes, there exist relatively few results on the realization problem for time-varying 1D convolutional codes and even fewer if the convolutional codes are two-dimensional (2D). In this paper we consider 2D periodic convolutional codes and address the minimal state space realization problem for this class of codes. This is, in general, a highly nontrivial problem. Here, we focus on separable Roesser models and show that in this case it is possible to derive, under weak conditions, concrete formulas for obtaining a 2D Roesser state space representation. Moreover, we study minimality and present necessary conditions for these representations to be minimal. Our results immediately lead to constructive algorithms to build these representations.

APA, Harvard, Vancouver, ISO, and other styles

8

Lomadze, Vakhtang, Eric Rogers, and Jeffrey Wood. "Singular 2D Behaviors: Fornasini–Marchesini and Givone–Roesser Models." gmj 16, no. 1 (March 2009): 105–30. http://dx.doi.org/10.1515/gmj.2009.105.

Full text

Abstract:

Abstract In this paper we study 2D Fornasini–Marchesini and 2D Givone–Roesser models from the viewpoint developed in our recent paper [Lomadze, Rogers, Wood, Georgian Math. J. 15: 139–157, 2008]. We give necessary and sufficient conditions for a behavior to be expressable in Fornasini–Marchesini or Givone–Roesser form, and a canonical realization when the conditions are met. We also study the regularity, controllability and autonomy of these models. In particular, we provide the concepts of controllability in the sense of Kalman for each model, and show that they agree with the behavioral controllability as defined in [Lomadze, Rogers, Wood, Georgian Math. J. 15: 139–157, 2008].

APA, Harvard, Vancouver, ISO, and other styles

9

Zhao, Yan, Tieyan Zhang, Dan Zhao, Cunxu Wang, and Miao LI. "Control Synthesis of Uncertain Roesser-Type Discrete-Time Two-Dimensional Systems." Mathematical Problems in Engineering 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/490174.

Full text

Abstract:

This paper is concerned with control synthesis of uncertain Roesser-type discrete-time two-dimensional (2D) systems. The mathematical model of the 2D system’s parameter uncertainty, which may appear typically in many actual environment, is modeled as a convex bounded uncertain domain. By using the Lyapunov stability theory, stabilization conditions is proposed in with the purpose of ensuring the robust asymptotical stability of the underlying closed-loop uncertain Roesser-type discrete-time 2D systems. Furthermore, the obtained result of this paper is formulated in the form of linear matrix inequalities (LMIs), which can be easily solved via standard numerical software. Finally, a numerical example is also provided to demonstrate the effectiveness of the proposed result.

APA, Harvard, Vancouver, ISO, and other styles

10

Rapisarda, P. "Discrete Roesser state models from 2D frequency data." Multidimensional Systems and Signal Processing 30, no. 2 (March 31, 2018): 591–610. http://dx.doi.org/10.1007/s11045-018-0572-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Pal, Vipin Chandra, and Richa Negi. "Robust output feedback control of 2D discrete systems with actuator saturation and time-varying delay." Transactions of the Institute of Measurement and Control 39, no. 11 (June 3, 2016): 1673–95. http://dx.doi.org/10.1177/0142331216644045.

Full text

Abstract:

An observer-based dynamic output feedback H∞ controller is proposed for a class of two-dimensional (2D) uncertain discrete systems described by the Roesser model with actuator saturation, time-varying state delay and external disturbances. First, a delay-dependent Lyapunov stability condition is derived in linear matrix inequality (LMI) form which uses the reciprocal convex approach and H∞ disturbance attenuation performance is also analysed. Secondly, a convex hull is adopted to represent the saturation nonlinearity. The H∞ control synthesis for uncertain 2D discrete systems is described by a Roesser model subjected to actuator saturation and external disturbances using an observer-based dynamic output feedback approach. Some practical examples are provided to highlight the usefulness of the presented results.

APA, Harvard, Vancouver, ISO, and other styles

12

Amine Ghezzar, Mohammed, Djillali Bouagada, Kamel Benyettou, Mohammed Chadli, and Paul Van Dooren. "On the stability of 2D general Roesser Lyapunov systems." MATHEMATICA 63 (86), no. 1 (May 20, 2021): 85–97. http://dx.doi.org/10.24193/mathcluj.2021.1.08.

Full text

Abstract:

This paper addresses the problem of stability for general two-dimensional (2D) discrete-time and continuous-discrete time Lyapunov systems, where the linear matrix inequalities (LMI's) approach is applied to derive a new sufficient condition for the asymptotic stability.

APA, Harvard, Vancouver, ISO, and other styles

13

Zhao, Yan, Tieyan Zhang, Dan Zhao, Fucai You, and Miao Li. "Robust Stability Criteria of Roesser-Type Discrete-Time Two-Dimensional Systems with Parameter Uncertainties." Abstract and Applied Analysis 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/159745.

Full text

Abstract:

This paper is concerned with robust stability analysis of uncertain Roesser-type discrete-time two-dimensional (2D) systems. In particular, the underlying parameter uncertainties of system parameter matrices are assumed to belong to a convex bounded uncertain domain, which usually is named as the so-called polytopic uncertainty and appears typically in most practical systems. Robust stability criteria are proposed for verifying the robust asymptotical stability of the related uncertain Roesser-type discrete-time 2D systems in terms of linear matrix inequalities. Indeed, a parameter-dependent Lyapunov function is applied in the proof of our main result and thus the obtained robust stability criteria are less conservative than the existing ones. Finally, the effectiveness and applicability of the proposed approach are demonstrated by means of some numerical experiments.

APA, Harvard, Vancouver, ISO, and other styles

14

Kaczorek, Tadeusz. "Positive Switched 2D Linear Systems Described by the Roesser Models." European Journal of Control 18, no. 3 (January 2012): 239–46. http://dx.doi.org/10.3166/ejc.18.239-246.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Ntogramatzidis, Lorenzo, and Michael Cantoni. "LQ optimal control for 2D Roesser models of finite extent." Systems & Control Letters 58, no. 7 (July 2009): 482–90. http://dx.doi.org/10.1016/j.sysconle.2009.02.006.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

El-Kasri, Chakir, Abdelaziz Hmamed, Teresa Alvarez, and Fernando Tadeo. "Robust Filtering of 2D Roesser Discrete Systems: A Polynomial Approach." Mathematical Problems in Engineering 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/521675.

Full text

Abstract:

The problem of robust filtering is investigated for the class of uncertain two-dimensional (2D) discrete systems described by a Roesser state-space model. The main contribution is a systematic procedure for generating conditions for the existence of a 2D discrete filter such that, for all admissible uncertainties, the error system is asymptotically stable, and the norm of the transfer function from the noise signal to the estimation error is below a prespecified level. These conditions are expressed as parameter-dependent linear matrix inequalities. Using homogeneous polynomially parameter-dependent filters of arbitrary degree on the uncertain parameters, the proposed method extends previous results in the quadratic framework and the linearly parameter-dependent framework, thus reducing its conservatism. Performance of the proposed method, in comparison with that of existing methods, is illustrated by two examples.

APA, Harvard, Vancouver, ISO, and other styles

17

Kaczorek, T. "Asymptotic stability of positive 2D linear systems with delays." Bulletin of the Polish Academy of Sciences: Technical Sciences 57, no. 2 (June 1, 2009): 133–38. http://dx.doi.org/10.2478/v10175-010-0113-4.

Full text

Abstract:

Asymptotic stability of positive 2D linear systems with delays New necessary and sufficient conditions for the asymptotic stability of positive 2D linear systems with delays described by the general model, Fornasini-Marchesini models and Roesser model are established. It is shown that checking of the asymptotic stability of positive 2D linear systems with delays can be reduced to the checking of the asymptotic stability of corresponding positive 1D linear systems without delays. The efficiency of the new criterions is demonstrated on numerical examples.

APA, Harvard, Vancouver, ISO, and other styles

18

Kaczorek, Tadeusz. "Reachability and minimum energy control of nonnegative 2D Roesser type models." IFAC Proceedings Volumes 32, no. 2 (July 1999): 3041–46. http://dx.doi.org/10.1016/s1474-6670(17)56519-2.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Gao, Chun-Yan, Guang-Ren Duan, and Xiang-Yu Meng. "Robust H ∞ filter design for 2D discrete systems in Roesser model." International Journal of Automation and Computing 5, no. 4 (October 2008): 413–18. http://dx.doi.org/10.1007/s11633-008-0413-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Kririm, Said, Abdelaziz Hmamed, and Fernando Tadeo. "Robust $$H_{\infty }$$ H ∞ Filtering for Uncertain 2D Singular Roesser Models." Circuits, Systems, and Signal Processing 34, no. 7 (January 20, 2015): 2213–35. http://dx.doi.org/10.1007/s00034-015-9967-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Zhang, Guangchen, and Weiqun Wang. "Finite-region stability and finite-region boundedness for 2D Roesser models." Mathematical Methods in the Applied Sciences 39, no. 18 (May 27, 2016): 5757–69. http://dx.doi.org/10.1002/mma.3982.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Duan, Zhaoxia, Hamid Reza Karimi, and Zhengrong Xiang. "Stability andl1-Gain Analysis for Positive 2D Systems with State Delays in the Roesser Model." Mathematical Problems in Engineering 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/169713.

Full text

Abstract:

This paper considers the problem of delay-dependent stability andl1-gain analysis for positive 2D systems with state delays described by the Roesser model. Firstly, the copositive-type Lyapunov function method is used to establish the sufficient conditions for the addressed positive 2D system to be asymptotically stable. Then,l1-gain performance for the system is also analyzed. All the obtained results are formulated in the form of linear matrix inequalities (LMIs) which are computationally tractable. Finally, an illustrative example is given to verify the effectiveness of the proposed results.

APA, Harvard, Vancouver, ISO, and other styles

23

Emelianova, J. P., P. V. Pakshin, K. Gałkowski, and E. Rogers. "Stability of nonlinear 2D systems described by the continuous-time Roesser model." Automation and Remote Control 75, no. 5 (May 2014): 845–58. http://dx.doi.org/10.1134/s000511791405004x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Chesi, Graziano. "Discussion on: “Positive Switched 2D Linear Systems Described by the Roesser Models”." European Journal of Control 18, no. 3 (January 2012): 247–48. http://dx.doi.org/10.1016/s0947-3580(12)70945-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Dami, Laila, Mohamed Benhayoun, and Abdellah Benzaouia. "Admissibility and stabilization of singular continuous 2D systems described by Roesser model." Multidimensional Systems and Signal Processing 31, no. 2 (September 12, 2019): 673–87. http://dx.doi.org/10.1007/s11045-019-00681-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Alfidi, M., A. Hmamed, F. Tadeo, and A. Benzaouia. "Control with Positivity Constraint for 2D Continuous-Time Systems in Roesser Model." Journal of Control, Automation and Electrical Systems 32, no. 1 (October 19, 2020): 70–81. http://dx.doi.org/10.1007/s40313-020-00656-y.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Xuhui, Bu, Zhang Hongwei, Song YunZhong, and Yu Fashan. "H∞ILC Design for Discrete Linear Systems with Packet Dropouts and Iteration-Varying Disturbances." Discrete Dynamics in Nature and Society 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/587323.

Full text

Abstract:

AnH∞iterative learning controller is designed for networked systems with intermittent measurements and iteration-varying disturbances. By modeling the measurement dropout as a stochastic variable satisfying the Bernoulli random binary distribution, the design can be transformed intoH∞control of a 2D stochastic system described by Roesser model. A sufficient condition for mean-square asymptotic stability andH∞disturbance attenuation performance for such 2D stochastic system is established by means of linear matrix inequality (LMI) technique, and formulas can be given for the control law design simultaneously. A numerical example is given to illustrate the effectiveness of the proposed results.

APA, Harvard, Vancouver, ISO, and other styles

28

Zhang, Guangchen, and Weiqun Wang. "Some Notes on the Controllability, Zero-Controllability and Dead-Beat Controllable Estimator for 2D Behaviors on H0." Journal of Computational and Theoretical Nanoscience 13, no. 10 (October 1, 2016): 7416–25. http://dx.doi.org/10.1166/jctn.2016.5735.

Full text

Abstract:

This article presents some observations concerning two-dimensional (2D) behaviors control problem on the discrete grid H0. Firstly, controllability and zero-controllability of 2D behaviors on H0 are characterized. Two properties of 2D sub-behaviors on H0 are introduced and investigated in order to consider controllability and zero-controllability of latent variables in 2D system, and then used to investigate 2D Roesser model which has controllability and zero-controllability. Next, equivalent systems (ESs) are defined to represent two systems that have same behaviors, their property of maintaining controllability and zero-controllability is revealed. Such equivalence is then applied to find the simple form of controlled juxtaposition systems. Finally, issues on dead-beat controllable estimator behaviors are studied, such as the relationship between zero-controllable behavior and dead-beat controllable estimator behavior, the existence of dead-beat controllable estimator behavior, etc.

APA, Harvard, Vancouver, ISO, and other styles

29

Kaczorek, Tadeusz. "Analysis of the descriptor Roesser model with the use of the Drazin inverse." International Journal of Applied Mathematics and Computer Science 25, no. 3 (September 1, 2015): 539–46. http://dx.doi.org/10.1515/amcs-2015-0040.

Full text

Abstract:

AbstractA method of analysis for a class of descriptor 2D discrete-time linear systems described by the Roesser model with a regular pencil is proposed. The method is based on the transformation of the model to a special form with the use of elementary row and column operations and on the application of a Drazin inverse of matrices to handle the model. The method is illustrated with a numerical example

APA, Harvard, Vancouver, ISO, and other styles

30

Badie, Khalid, Zakaria Chalh, and Mohammed Alfidi. "Fuzzy H_{∞ filtering for nonlinear 2D systems in the Roesser model}." International Journal of Modelling, Identification and Control 33, no. 2 (2019): 169. http://dx.doi.org/10.1504/ijmic.2019.10026100.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Badie, Khalid, Mohammed Alfidi, and Zakaria Chalh. "Fuzzy H_{∞ filtering for nonlinear 2D systems in the Roesser model}." International Journal of Modelling, Identification and Control 33, no. 2 (2019): 169. http://dx.doi.org/10.1504/ijmic.2019.104376.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Hua, Dingli, Weiqun Wang, Weiren Yu, and Yixiang Wang. "Finite-region boundedness and stabilization for 2D continuous-discrete systems in Roesser model." IMA Journal of Mathematical Control and Information 36, no. 3 (May 19, 2018): 1033–57. http://dx.doi.org/10.1093/imamci/dny017.

Full text

Abstract:

Abstract This paper investigates the finite-region boundedness (FRB) and stabilization problems for two-dimensional continuous-discrete linear Roesser models subject to two kinds of disturbances. For two-dimensional continuous-discrete system, we first put forward the concepts of finite-region stability and FRB. Then, by establishing special recursive formulas, sufficient conditions of FRB for two-dimensional continuous-discrete systems with two kinds of disturbances are formulated. Furthermore, we analyze the finite-region stabilization issues for the corresponding two-dimensional continuous-discrete systems and give generic sufficient conditions and sufficient conditions that can be verified by linear matrix inequalities for designing the state feedback controllers which ensure the closed-loop systems FRB. Finally, viable experimental results are demonstrated by illustrative examples.

APA, Harvard, Vancouver, ISO, and other styles

33

Kaczorek, Tadeusz. "Elimination of Finite Eigenvalues of Strongly Singular 2D Roesser Model by State Feedbacks." IFAC Proceedings Volumes 34, no. 13 (August 2001): 561–65. http://dx.doi.org/10.1016/s1474-6670(17)39051-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Gao, Jingbo, Weiqun Wang, and Guangchen Zhang. "Finite-Time Stability and Control of 2D Continuous–Discrete Systems in Roesser Model." Circuits, Systems, and Signal Processing 37, no. 11 (April 11, 2018): 4789–809. http://dx.doi.org/10.1007/s00034-018-0813-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Hien, Le Van, and Nguyen Thi Lan-Huong. "Observer-based ℓ 2 − ℓ ∞ control of 2D Roesser systems with random packet dropout." IET Control Theory & Applications 14, no. 5 (March 26, 2020): 774–80. http://dx.doi.org/10.1049/iet-cta.2019.0831.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Pinho, Telma, Raquel Pinto, and Paula Rocha. "Realization of 2D convolutional codes of rate $$\frac{1}{n}$$ by separable Roesser models." Designs, Codes and Cryptography 70, no. 1-2 (November 20, 2012): 241–50. http://dx.doi.org/10.1007/s10623-012-9768-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Kaczorek, T. "Elimination of Anticipation of a Class of Singular 2D Roesser Models by State Feedbacks." Multidimensional Systems and Signal Processing 16, no. 2 (April 2005): 237–50. http://dx.doi.org/10.1007/s11045-005-6864-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Tian, Dadong, Shutang Liu, and Wen Wang. "Global exponential stability of 2D switched positive nonlinear systems described by the Roesser model." International Journal of Robust and Nonlinear Control 29, no. 7 (February 14, 2019): 2272–82. http://dx.doi.org/10.1002/rnc.4484.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Bolajraf, Mohamed. "LP Conditions for Stability and Stabilization of Positive 2D Discrete State-delayed Roesser Models." International Journal of Control, Automation and Systems 16, no. 6 (October 30, 2018): 2814–21. http://dx.doi.org/10.1007/s12555-017-0464-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

40

Imran, Muhammad, Abdul Ghafoor, and Muhammad Imran. "Transformation of 2D Roesser into Causal Recursive Separable Denominator Model and Decomposition into 1D Systems." Circuits, Systems, and Signal Processing 40, no. 7 (January 13, 2021): 3561–72. http://dx.doi.org/10.1007/s00034-020-01642-0.

Full text

APA, Harvard, Vancouver, ISO, and other styles

41

Han, Xue Song, and Yu Bo Duan. "H_∞ Model Reduction of 2D Markovian Jump System with Roesser Model." Advanced Engineering Forum 6-7 (September 2012): 135–42. http://dx.doi.org/10.4028/www.scientific.net/aef.6-7.135.

Full text

Abstract:

This paper extends the results obtained for one-dimensional Markovian jump systems to investigate the problem of H∞model reduction for a class of linear discrete time 2D Markovian jump systems with state delays in Roesser model which is time-varying and mode-independent. The reduced-order model with the same randomly jumping parameters is proposed which can make the error systems stochastically stable with a prescribed H∞ performance. A sufficient condition in terms of linear matrix inequalitiesSubscript text(LMIs) plus matrix inverse constraints are derived for the existence of a solution to the reduced-order model problems. The cone complimentarity linearization (CCL) method is exploited to cast them into nonlinear minimization problems subject to LMI constraints. A numerical example is given to illustrate the design procedures.

APA, Harvard, Vancouver, ISO, and other styles

42

Duan, Zhaoxia, Zhengrong Xiang, and Hamid Reza Karimi. "Delay-dependent exponential stabilization of positive 2D switched state-delayed systems in the Roesser model." Information Sciences 272 (July 2014): 173–84. http://dx.doi.org/10.1016/j.ins.2014.02.121.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Huang, Shipei, and Zhengrong Xiang. "Delay-Dependent Stability for Discrete 2D Switched Systems with State Delays in the Roesser Model." Circuits, Systems, and Signal Processing 32, no. 6 (April 26, 2013): 2821–37. http://dx.doi.org/10.1007/s00034-013-9600-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Wang, Lei, Liangxin Dong, Ruitian Yang, and Yiyang Chen. "Dynamic ILC for Linear Repetitive Processes Based on Different Relative Degrees." Mathematics 10, no. 24 (December 19, 2022): 4824. http://dx.doi.org/10.3390/math10244824.

Full text

Abstract:

The current research on iterative learning control focuses on the condition where the system relative degree is equal to 1, while the condition where the system relative degree is equal to 0 or greater than 1 is not considered. Therefore, this paper studies the monotonic convergence of the corresponding dynamic iterative learning controller systematically for discrete linear repetitive processes with different relative degrees. First, a 2D discrete Roesser model of the iterative learning control system is presented by means of 2D systems theory. Then, the monotonic convergence condition of the controlled system is analyzed according to the stability theory of linear repetitive process. Furthermore, the sufficient conditions of the controller existence are given in linear matrix inequality format under different relative degrees, which guarantees the system dynamic performance. Finally, through comparison with static controllers under different relative degrees, the simulation results show that the designed schemes are effective and feasible.

APA, Harvard, Vancouver, ISO, and other styles

45

Rogowski, Krzysztof. "General Response Formula for CFD Pseudo-Fractional 2D Continuous Linear Systems Described by the Roesser Model." Symmetry 12, no. 12 (November 24, 2020): 1934. http://dx.doi.org/10.3390/sym12121934.

Full text

Abstract:

In many engineering problems associated with various physical phenomena, there occurs a necessity of analysis of signals that are described by multidimensional functions of more than one variable such as time t or space coordinates x, y, z. Therefore, in such cases, we should consider dynamical models of two or more dimensions. In this paper, a new two-dimensional (2D) model described by the Roesser type of state-space equations will be considered. In the introduced model, partial differential operators described by the Conformable Fractional Derivative (CFD) definition with respect to the first (horizontal) and second (vertical) variables will be applied. For the model under consideration, the general response formula is derived using the inverse fractional Laplace method. Next, the properties of the solution will be considered. Usefulness of the general response formula will be discussed and illustrated by a numerical example.

APA, Harvard, Vancouver, ISO, and other styles

46

Van Hien, Le, and Hieu Trinh. "Stability of two-dimensional Roesser systems with time-varying delays via novel 2D finite-sum inequalities." IET Control Theory & Applications 10, no. 14 (September 19, 2016): 1665–74. http://dx.doi.org/10.1049/iet-cta.2016.0078.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Wang, Lei, Liangxin Dong, Yiyang Chen, Keqing Wang, and Feng Gao. "Iterative Learning Control for Actuator Fault Uncertain Systems." Symmetry 14, no. 10 (September 21, 2022): 1969. http://dx.doi.org/10.3390/sym14101969.

Full text

Abstract:

An iterative learning fault-tolerant control method is designed for an actuator fault intermittent process with simultaneous uncertainties for the system parameters. First, an intermittent fault tolerance controller is designed using 2D system theory, and the iterative learning control (ILC) intermittent process is transformed into a 2D Roesser model. Secondly, sufficient conditions for the controller’s existence are analyzed using the linear matrix inequality (LMI) technique, and the control gain matrices are obtained by convex optimization with LMI constraints. Under these conditions for all additive uncertainties for the system parameters and admissible failures, the controller can ensure closed-loop fault-tolerant performance in both the time and batch directions, and it can also meet the H∞ robust performance level against outside disturbances. Eventually, the algorithm’s computational complexity is analyzed, and the effectiveness of the algorithm is verified by simulation with respect to an injection molding machine model. Compared with traditional ILC laws, which do not consider actuator faults, the proposed algorithm has a better convergence speed and stability when the time-invariant and time-variant actuator faults occur during implementation.

APA, Harvard, Vancouver, ISO, and other styles

48

Chen, Shyh-Feng. "Delay-dependent stability for 2D systems with time-varying delay subject to state saturation in the Roesser model." Applied Mathematics and Computation 216, no. 9 (July 2010): 2613–22. http://dx.doi.org/10.1016/j.amc.2010.03.104.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Shi, Jia, Furong Gao, and Tie-Jun Wu. "Robust design of integrated feedback and iterative learning control of a batch process based on a 2D Roesser system." Journal of Process Control 15, no. 8 (December 2005): 907–24. http://dx.doi.org/10.1016/j.jprocont.2005.02.005.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Ahn, Choon Ki. "New passivity criterion for limit cycle oscillation removal of interfered 2D digital filters in the Roesser form with saturation nonlinearity." Nonlinear Dynamics 78, no. 1 (May 20, 2014): 409–20. http://dx.doi.org/10.1007/s11071-014-1448-4.

Full text

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!