Stability of complex-valued impulsive and switching system and application to the Lu system

被引：48
作者：
Fang, Tao [1 ,2 ]
Sun, Jitao [1 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
[2] Shanghai Univ Engn Sci, Sch Fundamental Studies, Shanghai 201620, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2014年 / 14卷
关键词：
Stability; Complex-valued; Impulsive system; Switching system; Lu system; 2-DIMENSIONAL DIFFERENTIAL SYSTEM; ASYMPTOTIC-BEHAVIOR; NONLINEAR-SYSTEMS; GLOBAL STABILITY; DELAY; EQUATIONS; SYNCHRONIZATION;
D O I：
10.1016/j.nahs.2014.04.004
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, the stability of complex-valued impulsive and switching system is addressed. By using switched Lyapunov functions on a complex field, some new stability criteria of complex-valued impulsive and switching systems are established, which not only generalize some known results in the literature, but also greatly reduce the complexity of analysis and computation. As an application, a new hybrid impulsive and switching feedback controller for the complex-valued chaotic Lu system is designed. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：38 / 46
页数：9
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