{"title":"New criteria of stochastic finite time stability for impulsive switched stochastic nonlinear systems","authors":"Haiqi Peng, Quanxin Zhu","doi":"10.1016/j.cnsns.2024.108545","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, some novel stochastic finite time stability (SFTS) criteria are derived for impulsive switched stochastic nonlinear systems (ISSNS) by using stochastic process theory, multiple Lyapunov functions, analytical techniques. Moreover, the estimations of stochastic settling time (SST) are also provided. Under the influence of destabilizing and stabilizing impulses, we consider situations where the subsystems are fully stable, the subsystems may be fully unstable, and some subsystems are stable while others are unstable, respectively. The conclusion reveals the relationship among the initial value, impulsive switching strength factors, impulsive switching time and SST. Finally, two numerical examples are provided to illustrate our conclusion.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"142 ","pages":"Article 108545"},"PeriodicalIF":3.4000,"publicationDate":"2024-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1007570424007305","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, some novel stochastic finite time stability (SFTS) criteria are derived for impulsive switched stochastic nonlinear systems (ISSNS) by using stochastic process theory, multiple Lyapunov functions, analytical techniques. Moreover, the estimations of stochastic settling time (SST) are also provided. Under the influence of destabilizing and stabilizing impulses, we consider situations where the subsystems are fully stable, the subsystems may be fully unstable, and some subsystems are stable while others are unstable, respectively. The conclusion reveals the relationship among the initial value, impulsive switching strength factors, impulsive switching time and SST. Finally, two numerical examples are provided to illustrate our conclusion.
期刊介绍：
The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity.
The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged.
Topics of interest:
Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity.
No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.
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