Regional stability analysis of impulsive switched nonlinear systems with multiple equilibrium points

Wang, Zhichuang; Feng, Wei; Ba, Hezhen

doi:10.1002/asjc.2438

Cited by 3 publications

(1 citation statement)

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“…It can bring negative effects to a system and even make it unstable. Up to now, many stability results about impulsive delay systems have been proposed about linear systems [5][6][7][8][9], nonlinear systems [10][11][12], switched systems [13], and so on. By investigating such results, it can be seen that the delay occurs in the differential equations.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of Markovian jump systems with delayed impulses

Wang

Ren

2022

Asian Journal of Control

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This paper addresses stability for Markovian jump systems with delayed impulses. The delayed impulse has a largely negative effect on the system stability and is not easy to be studied. The main reason is that so many factors such as Markovian switching, impulse, and time‐varying delay are simultaneously contained and make its analysis complicated and difficult. In order to analyze these factors clearly, some novel enlarging techniques are presented and used to establish linear matrix inequality (LMI) conditions ultimately. Based on the given methods, more situations such as impulsive instant sequence satisfying a renewal process and Poisson process, respectively, are further studied and better than ones without considering such properties. Two numerical examples are used to show the effectiveness and superiority of the methods.

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