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    • Noise-input-to-state Stability Analysis of Switching Stochastic Nonlinear Systems with Mode-Dependent Multiple Impulses

    Ticao Jiao,Xiaomei Qi,Jishun Jiang,Mingzheng Yu

    Applied Mathematics and Computation（2022）

    Shandong Univ Technol

    Cited 4|Views10
    Abstract
    In this study, the problem of noise-input-to-state stability for switching stochastic nonlin-ear systems with impulses is investigated. There are two outstanding features of the inves-tigated systems: (a) the occurrences of swithcings and impulses are allowed to be asyn-chronous; (b) the impulsive maps not only depend on the subsystems but also are different for the different impulsive instants. The noise-input-to-state stability problem is first con-sidered for systems, where switching instants and impulsive intervals are confined by the mode-dependent average dwell time and impulsive interval, respectively. Then, we revisit the noise-input-to-state stability for nonlinear systems with stochastic switching and im-pulsive densities. To derive less conservative sufficient conditions, multiple Lyapunov func-tions with the indefinite weak infinitesimal generator and some fundamental stochastic techniques are applied. A simulation example is proposed to illustrate the effectiveness of the provided criteria.(c) 2022 Elsevier Inc. All rights reserved.
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    Key words
    Mode-dependent average dwell-time,Mode-dependent impulsive interval,Noise-input-to-state stability,Stochastic nonlinear systems
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