 Finite-time stochastic input-to-state stability of switched stochastic nonlinear systemsPing Zhao, Wei Feng, Yan Zhao and Yu Kang Applied Mathematics and Computation, 2015, vol. 268, issue C, 1038-1054 Abstract: In this paper, the problems of finite-time globally asymptotical stability in probability (FGSP) and finite-time stochastic input-to-state stability (FSISS) for switched stochastic nonlinear (SSNL) systems are investigated. To solve these problems elegantly, some new definitions on FGSP and FSISS are presented in the form of generalized KL (GKL) function, and some lemmas about GKL functions and their properties are proved. Based on that, some sufficient conditions are provided firstly for nonswitched stochastic nonlinear (nSSNL) systems, which will make the corresponding study on SSNL systems easier. Then, overcoming the difficulties coming with the appearance of switching, some sufficient conditions on FGSP and FSISS are given for SSNL systems. Moreover, based on the concept of average dwell-time, a sufficient condition for FSISS of SSNL systems is also provided. Finally, some simulation examples are given to demonstrate the effectiveness of our results. Keywords: Stochastic nonlinear system; Switched system; Finite-time input-to-state stability; Finite-time globally asymptotically stable in probability; FSISS-Lyapunov function (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:1038-1054 DOI: 10.1016/j.amc.2015.06.075 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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