Input/output‐to‐state stability of impulsive switched delay systems

Hong, Shanshan; Zhang, Yu

doi:10.1002/rnc.4705

Cited by 21 publications

(12 citation statements)

References 28 publications

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“…In this paper, we will focus on the case where switching and impulsive time instants could be different. In this category, to the best of our knowledge, there are few results (see other studies [15][16][17]). The stability for impulsive switched time-delay systems with state-dependent impulses is studied in Ren and Xiong [15].…”

Section: Introductionmentioning

confidence: 94%

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Robust H_∞ control of uncertain impulsive switched systems

Jiang

Lian

2020

Asian Journal of Control

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This paper considers robust H ∞ control of impulsive switched systems with time-varying uncertainties and nonlinear impulsive increments. The impulses are not required to synchronize the switching. Instead, the impulse sequences follow an average impulsive interval assumption, in which the restriction on common lower (or upper) bound of two consecutive impulses is dropped. By using the multiple Lyapunov function and average dwell time method, even with high impulse frequency, the robust H ∞ control performance can still be guaranteed under some sufficient conditions. Finally, the efficiency of the proposed results is demonstrated by a numerical example.

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Section: Introductionmentioning

confidence: 94%

“…By using Lyapunov functional method and modedependent ADT method, exponential synchronization criteria are presented. In Hong and Zhang [17], the authors are interested in the IOSS and integral IOSS of impulsive delay systems. Nevertheless, the distribution of impulses is not well studied in the works mentioned above.…”

Section: Introductionmentioning

confidence: 99%

Robust H_∞ control of uncertain impulsive switched systems

Jiang

Lian

2020

Asian Journal of Control

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“…Up to now, a good deal of results about IOSS‐properties have been examined. The switched systems of IOSS property was examined by Reference 20 using average dwell‐time method 21 . investigated the IOSS property of hybrid systems by utilizing the Razumikhin‐type theorem.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time input/output‐to‐state stability of nonlinear stochastic switched time‐varying systems with mode‐dependent average dwell time

Zhang

Zhu

Gao

2023

Intl J Robust & Nonlinear

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This article investigates the finite‐time input/output‐to‐state stability (FTIOSS) of stochastic switched nonlinear delay systems (SSNDS). This article extends the well‐known concepts of input/output‐to‐state stability to finite‐time control problems. By using the finite‐time stable function and generalized function, we establish an unified FTIOSS criteron for stochastic switched systems, where both stable and unstable switching signals are considered. Compare with the existing works, the main advantage is that the constructed Lyapunov function (LF) is permitted to own indefinite‐derivative. Meanwhile, the Razumikhin technique and the mode‐dependent average‐dwell time (MDADT) approach are introduced to guarantee the FTIOSS of the system. The efficacy of the obtained results is demonstrated by an example.

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“…Impulses which contribute to dynamics of systems have been applied to many practical problems such as satellite orbit transfer, electrical engineering, stability and synchronization of chaotic secure communication systems, and so on. In the past few years, the control and analysis of impulse systems have been one of the hot spots, and significant progress has been made in References .…”

Section: Introductionmentioning

confidence: 99%

Reachable set estimation for switched nonlinear positive systems with impulse and time delay

Zhang

Sun

2020

Intl J Robust & Nonlinear

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This paper deals with the reachable set estimation for the continuous-time switched nonlinear positive systems with impulse, disturbance, and mixed time-varying delays under the average dwell time switching. Based on a method developed in positive systems, sufficient conditions are established such that all solutions of the system converge exponentially to a ball. Both the bound of the reachable set and the convergence rate are determined explicitly. Compared with the existing result, the average dwell time given in this paper is less conservative. Finally, numerical examples demonstrate the effectiveness of our results. K E Y W O R D S disturbance, impulse, reachable set estimation, switched positive system, time delay INTRODUCTIONNoting that absolute temperature, absolute potential, concentration of chemical reactants, and the number of biological insects are all taken nonnegative values, the corresponding dynamic systems can be described by positive systems. Positive systems are dynamic systems with positive constraints on state variables. 1 Switched positive system is composed of a series of positive subsystems and rules that determine the switching between subsystems. Stability analysis is a basic problem for switched positive systems. In recent years, due to the wide application of switched positive systems in many fields, many stability and stabilization results related to switched positive systems have been obtained in References 2-15. In many practical control systems, time delays are often encountered, such as environmental systems, chemical process systems, transmission systems, and so on. Time delay is often the source of the system instability and poor performance. [16][17][18][19] For the stability of positive systems with time delay, relevant studies show that the asymptotic stability is insensitive to constant and bounded time-varying delays. 20 Therefore, positive systems with time delay have attracted much attention in recent years.Impulsive phenomenon is prevailing in many fields which means a physical quantity suddenly changes in a short period of time and quickly returns to its initial state. Impulses which contribute to dynamics of systems have been applied to many practical problems such as satellite orbit transfer, electrical engineering, stability and synchronization of chaotic secure communication systems, and so on. In the past few years, the control and analysis of impulse systems have been one of the hot spots, and significant progress has been made in References 21-25.Reachable set is a set of all possible states of the system under specific constraints, which defines the range of system state in normal operation. Therefore, the estimation of the state reachable set boundary is of great significance for the analysis of system stability and the diagnosis of system faults. Reachable set estimation of continuous-time linear time-varying systems with bounded perturbations was studied in Reference 26. In Reference 27, the authors discussed reachable set estimation for continuous-time and ...

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Input/output‐to‐state stability of impulsive switched delay systems

Cited by 21 publications

References 28 publications

Robust H_∞ control of uncertain impulsive switched systems

Robust H_∞ control of uncertain impulsive switched systems

Finite‐time input/output‐to‐state stability of nonlinear stochastic switched time‐varying systems with mode‐dependent average dwell time

Reachable set estimation for switched nonlinear positive systems with impulse and time delay

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Input/output‐to‐state stability of impulsive switched delay systems

Cited by 21 publications

References 28 publications

Robust H∞ control of uncertain impulsive switched systems

Robust H∞ control of uncertain impulsive switched systems

Finite‐time input/output‐to‐state stability of nonlinear stochastic switched time‐varying systems with mode‐dependent average dwell time

Reachable set estimation for switched nonlinear positive systems with impulse and time delay

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Robust H_∞ control of uncertain impulsive switched systems

Robust H_∞ control of uncertain impulsive switched systems