Lyapunov Stability Analysis of Linear Time-Invariant Systems: Convex Optimization Approach

被引：0

作者：

Wang, Jianhong ^{[2
]}

Zhang, Zhenjuan ^{[1
]}

Gao, Yanbo ^{[2
]}

Lu, Guoping ^{[1
]}

机构：

[1] Nantong Univ, Sch Elect & Informat, Nantong 226019, Jiangsu, Peoples R China

[2] Nantong Univ, Sch Sci, Nantong 226019, Jiangsu, Peoples R China

来源：

2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23 | 2008年

基金：

中国国家自然科学基金;

关键词：

Lyapunov stability; Linear time-invariant systems; Linear matrix inequality; Theorem of alternatives; Convex optimization;

D O I：

10.1109/WCICA.2008.4593586

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Theorem of alternatives based on the separation theorems are proposed to provide systematic and unified proofs of necessary and sufficient conditions for solvability of Lyapunov inequality on P. As an application of the theorem of alternatives, we investigate the conditions for the existence of feasible solutions to Lyapunov inequality on P and obtain a restatement of the celebrated Lyapunov stability theorem for linear time-invariant systems.

引用

页码：4129 / +

页数：2

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