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

页码：21 / 30

页数：10

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