Stability conditions and estimation of the region of attraction for a class of nonlinear switched systems

被引：4
|
作者：
Platonov, Alexey V. [1 ]
机构：
[1] St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia
来源：
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2022年 / 10卷 / 05期
关键词：
Nonlinear switched systems; Asymptotic and practical stability; Lyapunov functions; Region of attraction; STABILIZATION;
D O I：
10.1007/s40435-021-00906-0
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the paper, a class of Persidskii-type systems with separable nonlinearities and switching is considered. The stability problem is investigated. Sufficient conditions of the asymptotic and practical stability for a given equilibrium position are obtained. The region of attraction of the equilibrium position is estimated. The main goal of the work is to find conditions on the switching law providing the set size of the region of attraction. The direct Lyapunov method and the theory of differential inequalities are used. To improve the results, different inequalities for a chosen Lyapunov function are constructed in different parts of the phase space. Some numerical examples are presented to illustrate the proposed approach.
引用
收藏
页码：1442 / 1450
页数：9
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