A Necessary and Sufficient Condition for the Existence of a Common Quadratic Lyapunov Function for Switched Linear Interval Systems

被引：0

作者：

Kim, Byeong-Yeon ^{[1
]}

Ahn, Hyo-Sung ^{[1
]}

机构：

[1] GIST, Sch Mechatron, Kwangju 500712, South Korea

来源：

2011 11TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS) | 2011年

关键词：

Switched linear interval systems; Common quadratic Lyapunov function; Polytope of matrices; Vertex matrix; STABILITY; STABILIZABILITY;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, a necessary and sufficient condition for the existence of a common quadratic Lyapunov function (CQLF) for continuous time n-th order switched linear interval systems (SLISs) under arbitrary switching is presented. SLISs have infinitely many subsystems that are within the specified interval. All the subsystems of SLISs can be represented as a polytope of vertices of the interval matrix. It will be shown that the existence of a CQLF for SLISs is equivalent to the existence of a CQLF for all the vertices of the systems.

引用

页码：97 / 102

页数：6

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