Limit cycles in Lienard systems with saturation

被引:0
作者
Lathuiliere, Thomas [1 ]
Valmorbida, Giorgio [1 ]
Panteley, Elena [1 ,2 ]
机构
[1] Univ Paris Saclay, Univ Paris Sud, Cent Supelec, Lab Signaux & Syst,CNRS, 3 Rue Joliot Curie, F-91192 Gif Sur Yvette, France
[2] ITMO Univ, Kronverkskiy Av 49, St Petersburg 197101, Russia
关键词
Lienard systems; limit cycles; saturation;
D O I
10.1016/j.ifacol.2018.12.105
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 this paper we present an extension of existing results on limit cycles for Lienard systems and formulate sufficient conditions for existence and uniqueness of limit cycles for Lienard systems with non-differentiable vector fields. As an application we consider the example of a linear systems with the saturation nonlinearity. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码:127 / 131
页数:5
相关论文
共 2 条
[1]  
Perko L, 2013, DIFFERENTIAL EQUATIO
[2]   ON THE QUALITATIVE BEHAVIOR OF SOLUTIONS OF LIENARD EQUATION [J].
VILLARI, G .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1987, 67 (02) :269-277