一类不确定离散混杂系统的稳定性  

Stability of a Class of Discrete-time Complex System

作　　者：王娟[1] 何俊杰[1] 慕小武[2] 

机构地区：[1]信阳师范学院数学与信息科学学院,河南信阳464000 [2]郑州大学数学与统计学院,河南郑州450000

出　　处：《数学的实践与认识》2013年第16期197-202,共6页Mathematics in Practice and Theory

基　　金：河南省自然科学基金(132300410056);河南省教育厅科学技术研究重点项目(13A110769)

摘　　要：基于切换Lyapunov函数描述了在离散时间下一类不确定的离散混杂系统的L2增益分析以及控制合成问题.运用Lyapunov函数理论以及线性矩阵不等式,给出了一类不确定离散切换系统在任意切换律下的稳定性条件,并构造了反馈控制律使系统达到干扰衰减及内稳定性.This paper is dedicated to the problem of L2-gain and control synthesis for a class of uncertain switched systems in the discrete-time domain basing on switched Lyapunov function. Applying the Lyapunov function theory and LMI, the sufficient conditions of the asymptotic stability for a class of uncertain discrete-time switched nonlinear system under arbitrary switching laws are given, the feedback control law such that the systems satisfy the inner stability are also designed.

关 键 词：非线性切换系统 切换Lyapunov函数 渐近稳定 L2增益 控制合成 

分 类 号：O231[理学—运筹学与控制论]