Asynchronously switched control of discrete impulsive switched systems with time delays

Li, Xia; Xiang, Zhengrong; Karimi, Hamid Reza

doi:10.1016/j.ins.2013.06.007

Cited by 64 publications

(50 citation statements)

References 30 publications

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“…However, as pointed out in Remark 3, the average dwell time adopted in relies on a given parameter α > 0, which restricts the application of the results obtained therein. Based on the methods proposed in this paper, in combination with those in , it is expected that our results can be extended to asynchronously switched control of SSDS . Remark Theorems 1 and 2 are developed based on applying the multiple Lyapunov functionals (piecewise Lyapunov functionals) method. If P i = P , Q i = Q , R i = R , that is, a common Lyapunov functional is used, then Theorems 1 and 2 are reduce to their corresponding ones, which are omitted here for brevity.…”

Section: Resultsmentioning

confidence: 87%

Stability analysis and control for switched stochastic delayed systems

Chen

Zheng

2015

Intl J Robust & Nonlinear

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Summary This paper investigates almost sure exponential stability and feedback stabilization for switched time‐delay systems with nonlinear stochastic perturbations. The main contributions of this paper are threefold: (i) based on the non‐convolution type multiple Lyapunov functionals and the mathematical induction approach, a mean‐square exponential stability condition for nonlinear stochastic switched systems is first established, such that the obtained average dwell time does not rely on any given decay rate; (ii) by using the method developed in part (i) and the stochastic analysis techniques and limit methods in probability, an almost sure exponential stability criterion for switched delayed systems with nonlinear stochastic uncertainties is presented, and then a state feedback controller for the systems under consideration is designed; and (iii) when certain assumptions are made on the nonlinear stochastic perturbations, the results in this paper are further improved by relaxing some conditions. The effectiveness of the proposed method is demonstrated by three illustrative examples. Copyright © 2015 John Wiley & Sons, Ltd.

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Section: Resultsmentioning

confidence: 87%

Stability analysis and control for switched stochastic delayed systems

Chen

Zheng

2015

Intl J Robust & Nonlinear

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“…During the operation of a dynamic system, the system behavior is not only possible to encounter the effect of time delay but also encounter the effect of impulse. Recently, stability problems of impulsive switched systems have been studied in other works . Moreover, there are also some results in the framework of positive systems .…”

Section: Introductionmentioning

confidence: 99%

“…In order to realize computer simulation and digital implementation of continuous time system better, the study of discrete‐time systems is receiving more and more attention of researchers . However, to the best of our knowledge, there is no paper focus on exponential stability problem of discrete‐time impulsive positive switched systems with mixed time‐varying delays.…”

Section: Introductionmentioning

confidence: 99%

Exponential stability of impulsive positive switched systems with discrete and distributed time‐varying delays

Liu

Zhang

Lü

et al. 2019

Intl J Robust & Nonlinear

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Summary This paper studies the exponential stability problems of discrete‐time and continuous‐time impulsive positive switched systems with mixed (discrete and distributed) time‐varying delays, respectively. By constructing novel copositive Lyapunov‐Krasovskii functionals and using the average dwell time technique, delay‐dependent sufficient conditions for the solvability of considered problems are given in terms of fairly simple linear matrix inequalities. Compared with the most existing results, by introducing an extra real vector, restrictive conditions on derivative of the time‐varying delays (less than 1) are relaxed, thus the obtained improved stability criteria can deal with a wider class of continuous‐time positive switched systems with time‐varying delays. Finally, two simple examples are provided to verify the validity of theoretical results.

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“…Su et al / Information Sciences (2016) 1-15 2 recently, and many great achievements have been made in this research field. For example, the switched controller design problems of hybrid switched systems are addressed in [20,35,43], the model reduction/approximation approach for stochastic switched time delay systems is proposed in [36], the mixed H ∞ and passive filtering issues are investigated in [29], and stability analysis and stabilization problems for switched linear systems are discussed in [24,38]. Systems with complex nonlinear dynamics [6,14,22,23] impose significant difficulty in theoretical analysis in the traditional way.…”

Section: Introductionmentioning

confidence: 99%

Reduced-order model approximation of fuzzy switched systems with pre-specified performance

Liu

Song

et al. 2016

Information Sciences

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The reduced-order model approximation problem for discrete-time hybrid switched nonlinear systems is addressed via TakagiSugeno (T-S) fuzzy modelling in this paper. For a high-dimension hybrid switched nonlinear system, our aim is on how to construct a reduced-dimension hybrid switched model, approximating its original high-order model well with a pre-specified system performance level. Firstly, the mean-square exponential stability analysis is provided, in which it guarantees the given weighted H ∞ system performance level for the augmented error dynamic system by the average dwell time analysis approach and the hybrid switched Lyapunov stability theory. The solution of corresponding model reduction problem with pre-specified performance is given by using the projection Lemma, by which the algorithm of the reduced-order hybrid switched model parameters are designed by the cone complementary linearization technique. Finally, the advantage and effectiveness of the proposed reduced-order model approximation approach are shown by the simulation result.

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Asynchronously switched control of discrete impulsive switched systems with time delays

Cited by 64 publications

References 30 publications

Stability analysis and control for switched stochastic delayed systems

Stability analysis and control for switched stochastic delayed systems

Exponential stability of impulsive positive switched systems with discrete and distributed time‐varying delays

Reduced-order model approximation of fuzzy switched systems with pre-specified performance

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