Stability analysis and control for switched stochastic delayed systems
Stability analysis and control for switched stochastic delayed systems
复制标题
切换随机时滞系统的稳定性分析与控制
DOI：
10.1002/rnc.3314
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发表时间：
2016
影响因子：
3.9
通讯作者：
Zheng Wei Xing
中科院分区：
文献类型：
--
作者：
Chen Yun;Zheng Wei Xing
本文研究了具有非线性随机扰动的切换时滞系统的几乎必然指数稳定性和反馈镇定。本文的主要贡献有三个方面：（1）基于非卷积型多重李雅普诺夫泛函和数学归纳法，首次建立了非线性随机切换系统均方指数稳定的条件，使得所得到的平均停留时间不依赖于任何给定的衰减率;（ii）利用第（i）部分的方法和概率中的随机分析技术及极限方法，给出了具有非线性随机不确定性的时滞切换系统的几乎必然指数稳定性判据，（3）在对非线性随机扰动作一定假设的情况下，通过放宽某些条件，进一步改进了本文的结果.通过三个算例验证了该方法的有效性。版权所有© 2015约翰威利父子有限公司.
This paper investigates almost sure exponential stability and feedback stabilization for switched time‐delay systems with nonlinear stochastic perturbations. The main contributions of this paper are threefold: (i) based on the non‐convolution type multiple Lyapunov functionals and the mathematical induction approach, a mean‐square exponential stability condition for nonlinear stochastic switched systems is first established, such that the obtained average dwell time does not rely on any given decay rate; (ii) by using the method developed in part (i) and the stochastic analysis techniques and limit methods in probability, an almost sure exponential stability criterion for switched delayed systems with nonlinear stochastic uncertainties is presented, and then a state feedback controller for the systems under consideration is designed; and (iii) when certain assumptions are made on the nonlinear stochastic perturbations, the results in this paper are further improved by relaxing some conditions. The effectiveness of the proposed method is demonstrated by three illustrative examples. Copyright © 2015 John Wiley & Sons, Ltd.