具有饱和执行器的随机中立型系统的均方指数稳定性  

Exponential Mean-square Stability of the Stochastic Neutral System with Saturating Actuators

作　　者：汪慧[1] 李红菊[1] 

机构地区：[1]安徽新华学院公共课教学部,安徽合肥230088

出　　处：《平顶山学院学报》2015年第5期5-11,共7页Journal of Pingdingshan University

基　　金：安徽新华学院自然科研项目(2014zr015;2014zr009)

摘　　要：讨论具有饱和执行器的混合时滞随机中立型系统的均方指数稳定性.在考虑了时变时滞依赖和分布时滞效应的系统状态中融入具有Markov跳变的随机中立系统,针对此类系统设计了一个无记忆饱和状态的反馈控制,构造合适的Lyapunov-Krasovskii函数,由时滞分割法得到系统的最大时滞上界,采用线性矩阵不等式方法,推导出系统均方指数稳定的充分条件并进一步得到较小保守性.数值例子说明该方法的有效性.This paper investigates the exponential mean- square stability of the stochastic neutral system with saturating actuators and mixed time varying delays. The Markov process is fully considered for this neutral system,which takes both the state delays of derivatives and distributed delays into account. In this system,the feedback control of a non- memory saturation state is designed,and a suitable Lyapunov- Krasovskii function is constructed,and the upper bound of the maximum time delay is obtained by the time delay partitioning method.The sufficient conditions for the exponential stability of the system are derived and a less conservative condition for ensuring the exponential stability of this stochastic neutral systems is derived. Numerical examples show that the proposed method is effective and applicable.

关 键 词：随机中立型系统 混合时变时滞 饱和执行器 MARKOV跳变 均方指数稳定 

分 类 号：O211.6[理学—概率论与数理统计]