A Simplified Design for Strict Lyapunov Functions Under Matrosov Conditions

被引：16
|
作者：
Mazenc, Frederic [1 ]
Malisoff, Michael [2 ]
Bernard, Olivier [3 ]
机构：
[1] Projet MERE INRIA INRA, UMR Anal Syst & Biometrie, F-34060 Montpellier, France
[2] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
[3] Projet COMORE INRIA Sophia Antipolis, F-06902 Sophia Antipolis, France
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 01期
基金：
美国国家科学基金会;
关键词：
Biological systems; Lyapunov function; Matrosov theorem; ANAEROBIC-DIGESTION PROCESS; TIME-VARYING SYSTEMS; STABILITY; THEOREM;
D O I：
10.1109/TAC.2008.2008353
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We construct strict Lyapunov functions for broad classes of nonlinear systems satisfying Matrosov type conditions. Our new constructions are simpler than the designs available in the literature. We illustrate the practical interest of our designs using a globally asymptotically stable biological model.
引用
收藏
页码：177 / 183
页数：7
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