Exponential stability analysis for uncertain switched neutral systems with interval-time-varying state delay

Lien, Chang‐Hua; Yu, Ker‐Wei; Chung, Yeong-Jay; Lin, Yen-Feng; Chung, Long-Yeu; Chen, Jenq-Der

doi:10.1016/j.nahs.2009.02.010

Cited by 50 publications

(49 citation statements)

References 7 publications

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“…A switched system with time-delay individual subsystems is called a switched time-delay system; in particular, when the subsystems are linear, it is then called a switched time-delay linear system. During the last decades, the stability analysis of switched linear continuous/discrete time-delay systems has attracted a lot of attention [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. The main approach for stability analysis relies on the use of Lyapunov-Krasovskii functionals and linear matrix inequlity (LMI) approach for constructing a common Lyapunov function [19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

New sufficient conditions for the asymptotic stability of discrete time-delay systems

Sangapate

2012

Adv Differ Equ

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This paper is concerned with asymptotic stability of switched discrete time-delay systems. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for the asymptotic stability for the system is designed via linear matrix inequalities. Numerical example is included to illustrate the effectiveness of the result.

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Section: Introductionmentioning

confidence: 99%

New sufficient conditions for the asymptotic stability of discrete time-delay systems

Sangapate

2012

Adv Differ Equ

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“…A switched systems is composed of a family of continuous time Alan & Lib, 2009Kim et al, 2006;Niamsup, 2008;Lien et al, 2009;Lib et al, 2008) or discrete time systems (Wu et al, 2004) and a switching condition determining at any time instant which subsystem is activated.…”

Section: Introductionmentioning

confidence: 99%

“…Switched system in which all subsystems are stable was studied in (Lien et al, 2009) and switched system in which subsystems are both stable and unstable was studied in Alan & Lib, 2009. The commonly used approach to stability analysis of switched systems is Lyapunov theory and some important preliminaries results have been applied to obtain sufficient conditions for stability of switched systems.…”

Section: Introductionmentioning

confidence: 99%

“…The commonly used approach to stability analysis of switched systems is Lyapunov theory and some important preliminaries results have been applied to obtain sufficient conditions for stability of switched systems. A single Lyapunov function approach is used in ) and a multiple Lyapunov functions approach is used in Kim et al, 2006;Lien et al, 2009;Lib et al, 2008) and the references therein. The asymptotical stability of the linear with time delay and uncertainties has been considered in (Lien et al, 2009).…”

Section: Introductionmentioning

confidence: 99%

“…A single Lyapunov function approach is used in ) and a multiple Lyapunov functions approach is used in Kim et al, 2006;Lien et al, 2009;Lib et al, 2008) and the references therein. The asymptotical stability of the linear with time delay and uncertainties has been considered in (Lien et al, 2009). In (L.V.…”

Section: Introductionmentioning

confidence: 99%

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Exponential Stability of Uncertain Switched System with Time-Varying Delay

Duangdai¹,

Niamsup²

2011

Time-Delay Systems

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Robust H_∞ filtering for a class of uncertain stochastic hybrid neutral systems with time‐varying delay

Lian

Feng

Shi

2012

Adaptive Control & Signal

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This paper is devoted to the problem of robust H 1 filtering for a class of uncertain switched neutral systems subject to stochastic disturbance and time-varying delay. Attention is focused on the design of a full-order switched filter such that the filtering error system is robust mean-square exponentially stable with a prescribed weighted H 1 performance. On the basis of the average dwell time approach and the piecewise Lyapunov function technique, sufficient conditions for the solvability of this problem are obtained in terms of linear matrix inequalities. Then, by solving the corresponding linear matrix inequalities, the desired full-order switched filter is derived for all admissible uncertainties, time-varying delay, and stochastic disturbances. A numerical example is given to illustrate the effectiveness of the proposed method. Copyright ROBUST H 1 FILTERING 463 as well as practical applications, analysis and synthesis of these systems have gained considerable attention [7][8][9][10][11]. Moreover, the filtering problem has also been investigated for continuous-time and discrete-time switched systems [12][13][14][15], respectively. Recently, because stochastic modeling comes to play a key role in many real systems, much important progress is made on the stochastic hybrid systems [16][17][18][19]. Some papers on the filtering problem for these systems are investigated in [20][21][22][23][24]. The authors in [21] study H 1 filtering problem for stochastic systems with Markovian switching. On the basis of the switched Lyapunov function method, the H 1 filtering problem for discretetime switched systems with missing measurements is considered in [23]. In [24], reduced-order L 2 L 1 filtering problem is investigated for switched stochastic systems without uncertainties and time delays.On the other hand, it has been shown that many practical systems can be modeled by using functional differential equations of the neutral type. As for these more general class systems involving the derivative of the delayed state, the stability analysis and synthesis issues are proved to be much more difficult than those of the retarded type. Such kind of delay systems with the neutral type in both the deterministic and stochastic cases have been studied [25][26][27][28]. For instance, the problems of stability and stochastic stability for neutral systems are investigated in [25,26], respectively. The robust H 1 control and filtering problems for these systems are also addressed in [27][28][29]. However, given the significance of switched systems analyzed previously and the complexity in dealing with neutrality, only few attempts on stability and control synthesis are made for switched neutral systems [30][31][32]. Moreover, to the best of our knowledge, up to date, no results on the H 1 filter design for switched neutral systems are reported, not to mention the case when the stochastic disturbances and time-varying delays are taken into account.Motivated by the aforementioned discussion, in this paper, we study the problem of rob...

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Exponential stability analysis for uncertain switched neutral systems with interval-time-varying state delay

Cited by 50 publications

References 7 publications

New sufficient conditions for the asymptotic stability of discrete time-delay systems

New sufficient conditions for the asymptotic stability of discrete time-delay systems

Exponential Stability of Uncertain Switched System with Time-Varying Delay

Robust H_∞ filtering for a class of uncertain stochastic hybrid neutral systems with time‐varying delay

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Exponential stability analysis for uncertain switched neutral systems with interval-time-varying state delay

Cited by 50 publications

References 7 publications

New sufficient conditions for the asymptotic stability of discrete time-delay systems

New sufficient conditions for the asymptotic stability of discrete time-delay systems

Exponential Stability of Uncertain Switched System with Time-Varying Delay

Robust H ∞ filtering for a class of uncertain stochastic hybrid neutral systems with time‐varying delay

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Robust H_∞ filtering for a class of uncertain stochastic hybrid neutral systems with time‐varying delay