A method for determining the non-existence of a common quadratic Lyapunov function for switched linear systems based on particle swarm optimisation

被引：10

作者：

Duarte-Mermoud, M. A. ^{[1
,2
]}

Ordonez-Hurtado, R. H. ^{[1
,2
,4
]}

Zagalak, P. ^{[3
]}

机构：

[1] Univ Chile, Dept Elect Engn, Santiago, Chile

[2] Univ Chile, AMTC, Santiago, Chile

[3] Acad Sci Czech Republ, Inst Informat Theory & Automat, CR-18208 Prague, Czech Republic

[4] Univ Chile, PhD Program Elect Engn, Santiago, Chile

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2012年 / 43卷 / 11期

关键词：

switched linear systems; stability; common quadratic Lyapunov function; particle swarm optimisation; STABLE LTI SYSTEMS; STABILITY; EXISTENCE; STABILIZATION; MATRICES; PAIRS;

D O I：

10.1080/00207721.2012.687787

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The existence of a common quadratic Lyapunov function (CQLF) for a switched linear system guarantees its global asymptotic stability. Even if progress in finding the conditions for the existence/non-existence of a CQLF is significant, especially in switched linear systems consisting of N second-order systems or two systems of order n, the general case of N systems of order n still remains open. In this article, a sufficient condition for the non-existence of a CQLF for N systems of order n is derived. Based on the condition, a new method for determining the non-existence of a CQLF, using particle swarm optimisation, was designed and is described. Examples illustrating the proposed method are introduced at the end of this article.

引用

页码：2015 / 2029

页数：15

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