Lyapunov-based stability analysis automated by genetic programming

被引：5
|
作者：
Grosman, Benyamin [1 ]
Lewin, Daniel R. [1 ]
机构：
[1] Technion Israel Inst Technol, Dept Chem Engn, PSE Res Grp, IL-32000 Haifa, Israel
来源：
AUTOMATICA | 2009年 / 45卷 / 01期
关键词：
Genetic programming; Lyapunov stability;
D O I：
10.1016/j.automatica.2008.07.014
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 contribution describes an automatic technique to detect suitable Lyapunov functions for nonlinear systems. The theoretical basis for the work is Lyapunov's Direct Method, which provides sufficient conditions for stability of equilibrium points. In our proposed approach, genetic programming (GP) is used to search for suitable Lyapunov functions, that is, those that best predict the true domain of attraction. In the work presented here, our GP approach has been extended by defining a target function accounting for the Lyapunov function level sets. (C) 2008 Published by Elsevier Ltd
引用
收藏
页码：252 / 256
页数：5
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