Stability Analysis of Stochastic Nonlinear Systems With Delayed Impulses and Markovian Switching
| Autor: | Quanxin Zhu, Haidan Li |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Lyapunov function
General Computer Science Markov chain ISFDEs General Engineering Markovian switching Function (mathematics) Space (mathematics) Stability (probability) Upper and lower bounds symbols.namesake Nonlinear system delayed impulse almost exponential stability symbols Applied mathematics General Materials Science lcsh:Electrical engineering. Electronics. Nuclear engineering Constant (mathematics) lcsh:TK1-9971 Mathematics |
| Zdroj: | IEEE Access, Vol 7, Pp 21385-21391 (2019) |
| ISSN: | 2169-3536 |
| Popis: | In this paper, we are concerned with the stability analysis of stochastic nonlinear systems with delayed impulses and Markovian switching. Different from the previous literature, the impulses in this paper depend on delays and the jumping parameters are described by a continuous-time Markov chain with a finite-state space. Several novel stability criteria are obtained by using a stochastic Lyapunov function method and the Razumikhin technique. To be less conservative, the Razumikhin condition imposed on the coefficient of the estimated upper bound for the Lyapunov function's time-derivative is improved from a constant to a function, which can be either positive or negative. Finally, we use two examples and their simulations to verify the validity of the theory results. |
| Databáze: | OpenAIRE |
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