Common Quadratic Lyapunov Functions for Sets of Second-Order Linear Systems: A Simple Graphical Criterion

被引：0
作者：
Bainier, Gustave [1 ]
Marx, Benoit [1 ]
Ponsart, Jean-Christophe [1 ]
机构：
[1] Univ Lorraine, CNRS, CRAN, F-54000 Nancy, France
来源：
IEEE CONTROL SYSTEMS LETTERS | 2024年 / 8卷
关键词：
Lyapunov methods; Asymptotic stability; Symmetric matrices; Stability criteria; Linear systems; Trajectory; Linear matrix inequalities; stability of nonlinear systems; stability of linear systems; SUFFICIENT CONDITIONS; EXISTENCE; STABILITY;
D O I：
10.1109/LCSYS.2024.3418672
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This letter presents a simple graphical criterion to obtain all common quadratic Lyapunov functions for nonlinear systems contained in the convex-hull of a set of second-order linear time-invariant systems. It simply consists in finding the intersection between the interior of some ellipses. The proposed criterion is declined for both continuous-time and discrete-time systems and is illustrated by numerical examples.
引用
收藏
页码：1889 / 1894
页数：6
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