Asymptotic Stability Analysis for Switched Stochastic Nonlinear Systems Using Mode-dependent Uniformly Stable Functions
| Autor: | Yong-Feng Gao, Dianfeng Zhang, Shengli Du |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Lyapunov function
0209 industrial biotechnology Mode (statistics) 02 engineering and technology Function (mathematics) Stability (probability) Computer Science Applications Nonlinear system Dwell time symbols.namesake 020901 industrial engineering & automation Exponential stability Control and Systems Engineering symbols Applied mathematics Infinitesimal generator Mathematics |
| Zdroj: | International Journal of Control, Automation and Systems. 18:2259-2267 |
| ISSN: | 2005-4092 1598-6446 |
| DOI: | 10.1007/s12555-019-0545-z |
| Popis: | In this paper, we intend to investigate uniform global asymptotic stability in probability (UGAS-P) for a class of time-varying switched stochastic nonlinear systems. Conventional criteria on stability for switched stochastic systems are based on the negativity of the infinitesimal generator of Lyapunov functions, it is demonstrated that these criteria are conservative. Taking this fact into account, the infinitesimal generator for each active subsystem acting on Lyapunov functions is relaxed to be indefinite with the help of uniformly stable function (USF). Subsequently, improved criteria on asymptotic stability are proposed by applying the weakened condition and mode-dependent average dwell time (MDADT) technique. In addition, numerical examples are presented to verify the effectiveness of the obtained results. |
| Databáze: | OpenAIRE |
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