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一类离散非线性切换系统的稳定性

王娟 何俊杰 张礼涛

郑州大学学报(理学版)2012,Vol.44Issue(4):16-19,4.
郑州大学学报(理学版)2012,Vol.44Issue(4):16-19,4.DOI:10.3969/j.issn/1671-6841.2012.04.004

一类离散非线性切换系统的稳定性

Stability of a Class of Discrete-time Nolinear Switched System

王娟 1何俊杰 1张礼涛1

作者信息

  • 折叠

摘要

Abstract

The problem of L2-gain and control synthesis for a class of uncertain switched systems in the discrete-time domain was described on the basis of the common Lyapunov function. Applying the Lya-punov function theory and LMI, the sufficient conditions of the asymptotic stability for a class of uncertain discrete-time switched system under arbitrary switching laws were given, while the feedback control law was designed such that the systems satisfied the inner stability.

关键词

非线性切换系统/公共Lyapunov函数/渐近稳定/L2增益/控制合成

Key words

nonlinear switched system/ common Lyapunov function/ asymptotic stability/ L2-gain/ control synthesis

分类

数理科学

引用本文复制引用

王娟,何俊杰,张礼涛..一类离散非线性切换系统的稳定性[J].郑州大学学报(理学版),2012,44(4):16-19,4.

基金项目

河南省自然科学基金资助项目,编号112300410238,112300410244. ()

郑州大学学报(理学版)

OA北大核心CSTPCD

1671-6841

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