A Class of Vector Lyapunov Functions for Stability Analysis of Nonlinear Impulsive Differential Systems

被引：2
作者：
Zhang Qunli [1 ]
机构：
[1] Heze Univ, Dept Math, Heze 274015, Shandong, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2014年 / 2014卷
基金：
中国国家自然科学基金;
关键词：
NEURAL-NETWORKS;
D O I：
10.1155/2014/649012
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A novel and effective approach to stability of the solutions of nonlinear systems with impulsive effect is considered. The investigations are carried out by means of a class of vector Lyapunov functions and differential inequalities for piecewise continuous functions. Simulation examples are given to illustrate the presented results.
引用
收藏
页数：9
相关论文
共 26 条
[1]  
[Anonymous], 2000, Theory and application of stability for dynamical systems
[2]  
Bainov D., 1993, THEORY IMPULSIVE DIF
[3]  
Bainov D.D., 1989, Systems with Impulsive Effect: Stability, Theory and Applications
[4]  
Chua L. O., 1993, Journal of Circuits, Systems and Computers, V3, P93, DOI 10.1142/S0218126693000071
[5]   Impulsive Control for the Synchronization of Chaotic Systems with Time Delay [J].
Han, Ming ;
Liu, Yang ;
Lu, Jianquan .
ABSTRACT AND APPLIED ANALYSIS, 2012,
[6]  
Huang Wei, 2004, Journal of Northeastern University (Natural Science), V25, P1027
[7]   KEEPING CHAOS AT BAY [J].
HUNT, ER ;
JOHNSON, G .
IEEE SPECTRUM, 1993, 30 (11) :32-36
[8]   Experimental study of impulsive synchronization of chaotic and hyperchaotic circuits [J].
Itoh, M ;
Yang, T ;
Chua, LO .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1393-1424
[9]   2ND METHOD OF LYAPUNOV AND COMPARISON PRINCIPLE FOR SYSTEMS WITH IMPULSE EFFECT [J].
KULEV, GK ;
BAINOV, DD .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1988, 23 (03) :305-321
[10]   Global stability in switched recurrent neural networks with time-varying delay via nonlinear measure [J].
Li, Ping ;
Cao, Jinde .
NONLINEAR DYNAMICS, 2007, 49 (1-2) :295-305
123