Asymptotic stability analysis via indefinite Lyapunov functions and design of nonlinear impulsive control systems

被引：15
|
作者：
Li, Huijuan [1 ]
Liu, Anping [1 ]
机构：
[1] China Univ Geosci Wuhan, Sch Math & Phys, Wuhan 430074, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2020年 / 38卷
基金：
中国国家自然科学基金;
关键词：
Impulsive system; Impulsive control; Asymptotic stability; Lyapunov function; Indefinite Lyapunov function; SYNCHRONIZATION; STABILIZATION; DELAY;
D O I：
10.1016/j.nahs.2020.100936
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 study asymptotic stability problem of nonlinear impulsive dynamic systems and design an impulsive controller for a chaotic system. We propose new sufficient conditions for asymptotic stability of the origin of nonlinear impulsive dynamic systems via indefinite Lyapunov functions. Indefinite Lyapunov functions may increase both during some continuous portion of the trajectory and at some impulses. We present two examples to demonstrate the effectiveness of our conclusions. Furthermore, based on the results, impulsive control is designed for a chaotic system. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：11
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