A sufficient condition for the existence of a common Lyapunov function for two second order linear systems

被引：0

作者：

Shorten, RN ^{[1
]}

Narendra, KS ^{[1
]}

机构：

[1] Yale Univ, Dept Elect Engn, Ctr Syst Sci, New Haven, CT 06520 USA

来源：

PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5 | 1997年

关键词：

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：

A sufficient condition for the existence of a common Lyapunov function for two stable linear second order systems (x) over dot = A(i)x, A(i) is an element of {A(1), A(2)} is presented, namely that the matrix pencil A(1) + gamma A(2) have distinct negative eigenvalues for all gamma is an element of [0, infinity]. The implications of this result for the stability of more general switching systems are briefly discussed toward the end of the note.

引用

页码：3521 / 3522

页数：2

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