A novel approach for the stability problem in non-linear dynamical systems

被引：5
|
作者：
Rocha, TM
Gléria, IM
Figueiredo, A
机构：
[1] Univ Brasilia, Inst Fis, BR-70919970 Brasilia, DF, Brazil
[2] Univ Fed Alagoas, Dept Fis, Maceio, Brazil
来源：
COMPUTER PHYSICS COMMUNICATIONS | 2003年 / 155卷 / 01期
关键词：
lyapunov functiom stability; non-linear systems; symbolic computation;
D O I：
10.1016/S0010-4655(03)00295-9
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We present a methodology for the determination of sufficient conditions for the existence of a Lyapunov function in a general class of non-linear dynamical systems. The algorithm can be applied in the cases where the system parameters are numerically specified or not. The numerical algorithm involves the resolution of a linear programming problem. The algebraic version is implemented using the MAPLE programming system in the package Lyapunov. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码：21 / 30
页数：10
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