Exponential stability analysis for a class of switched nonlinear time-varying functional differential systems

Son, Nguyen Khoa; Ngoc, Le Van

doi:10.48550/arxiv.2109.07088

Cited by 1 publication

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“…For instance, Ding et al [5] gave an ES criterion for singular MJSs in the mean square considering the time delay. Meanwhile, Nguyen et al [6] proposed a unified method to study the global ES of a class of time-varying nonlinear stochastic functional differential equations (SFDEs) with Markov jump. A distinguishing feature of this paper is the establishment of novel delay-independent global ES criteria under the constraint of satisfying the average dwell time.…”

Section: Introductionmentioning

confidence: 99%

Exponential Stability of Discrete-Time Markovian Jump Nonlinear Systems With Stochastic Impulses

Cai,

Cheng

2023

IEEE Access

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This paper investigates the exponential stability (ES) of nonlinear discrete-time (DT) systems with stochastic impulses and Markovian jump. Employing the Lyapunov function method and the subsequence technique, the sufficient conditions for exponential stability of the pth moments (ES-pth) of the system are established. Generally, even if all the Markovian jump subsystems (MJSSs) are not ES-pth in the absence of impulses, impulses can still be used to achieve the ES-pth of the system in a specially designed interval, that is, when the impulses and Markovian jump signals meet the corresponding conditions. On the contrary, when all MJSSs are stable without impulses, as long as the impulses parameters and Markovian jump signals are relatively balanced, the system can still maintain the property of ES-pth. Finally, the effectiveness of results is further verified with three examples.INDEX TERMS Exponential stability, Markovian jump systems, Random impulsive systems, Linear matrix inequality (LMI).

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Section: Introductionmentioning

confidence: 99%