A result on common quadratic Lyapunov functions

被引：0

作者：

Shorten, R ^{[1
]}

Narendra, KS ^{[1
]}

Mason, O ^{[1
]}

机构：

[1] NUI Maynooth, Hamilton Inst, Maynooth, Kildare, Ireland

来源：

PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4 | 2002年

关键词：

stability theory; switched linear systems; quadratic stability;

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 we define strong and weak common quadratic Lyapunov functions (CQLF's) for sets of linear time-invariant (LTI) systems. We show that the simultaneous existence of a weak CQLF of a special form, and the non-existence of a strong CQLF, for a pair of LTI systems, is characterised by easily verifiable algebraic conditions. These conditions are found to play an important role in proving the existence of strong CQLF's for general LTI systems.

引用

页码：2780 / 2785

页数：6

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