On stability and performance analysis of discrete uncertain systems

被引：0

作者：

Gao, Huijun ^{[1
]}

Ling, Mingxiang ^{[1
]}

Wang, Changhong ^{[1
]}

机构：

[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS | 2006年 / 13卷 / 06期

关键词：

discrete-time systems; linear matrix inequality; multiple Lyapunov function; uncertain systems; robust stability;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a new linear matrix inequality based stability result for uncertain discrete-time linear systems, which is derived by defining a multiple-Lyapunov function and by using a new bounding technique. This new bounding technique has two advantages: (1) possible to yield less conservative results, which is shown via a numerical example; and (2) flexible to cope with more complicated problems, which is illustrated by presenting a new H-infinity performance condition. It is anticipated that the idea behind this paper can be further extended to deal with synthesis problems.

引用

页码：823 / 833

页数：11

共 18 条

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