A new trajectory reversing method for estimating stability regions of autonomous nonlinear systems

被引：25

作者：

Loccufier, M ^{[1
]}

Noldus, E ^{[1
]}

机构：

[1] State Univ Ghent, Fac Sci Appl, Dept Control Engn & Automat, B-9052 Zwijnaarde Gent, Belgium

来源：

NONLINEAR DYNAMICS | 2000年 / 21卷 / 03期

关键词：

autonomous system; stability regions; trajectory reversion; Lyapunov theory;

D O I：

10.1023/A:1008311427709

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A new method is presented for estimating regions of asymptotic stability for autonomous nonlinear dynamical systems. The underlying analysis uses a combination of Lyapunov theory, simulation and some topological properties of the stability boundary. The advantages of the method are the accuracy of estimation of the true stability boundary, its numerical robustness and its applicability to wide classes of dynamical systems. The main limitation is that a global Lyapunov function for the system must be available.

引用

页码：265 / 288

页数：24

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