Vector Lyapunov functions for practical stability of nonlinear impulsive functional differential equations

被引：47

作者：

Stamova, Ivanka M. ^{[1
]}

机构：

[1] Bourgas Free Univ, Dept Math, Burgas 8000, Bulgaria

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 325卷 / 01期

关键词：

practical stability; impulsive functional differential equations; vector Lyapunov functions;

D O I：

10.1016/j.jmaa.2006.02.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the practical stability of the solutions of nonlinear impulsive functional differential equations. The obtained results are based on the method of vector Lyapunov functions and on differential inequalities for piecewise continuous functions. Examples are given to illustrate our results. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：612 / 623

页数：12

共 50 条

[1] A Class of Vector Lyapunov Functions for Stability Analysis of Nonlinear Impulsive Differential Systems
Zhang Qunli
MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
[2] Cone-valued Lyapunov functions and stability for impulsive functional differential equations
Liu, Kaien
Yang, Guowei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (07) : 2184 - 2191
[3] Vector Lyapunov functions and conditional stability for systems of impulsive differential-difference equations
Bainov, DD
Stamova, IM
ANZIAM JOURNAL, 2001, 42 : 341 - 353
[4] A SURVEY OF LYAPUNOV FUNCTIONS, STABILITY AND IMPULSIVE CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS
Agarwal, Ravi
Hristova, Snezhana
O'Regan, Donal
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2016, 19 (02) : 290 - 318
[5] A Survey of Lyapunov Functions, Stability and Impulsive Caputo Fractional Differential Equations
Ravi Agarwal
Snezhana Hristova
Donal O’Regan
Fractional Calculus and Applied Analysis, 2016, 19 : 290 - 318
[6] Impulsive stabilization of functional differential equations by Lyapunov-Razumikhin functions
Yan, Jurang
Shen, Jianhua
Nonlinear Analysis, Theory, Methods and Applications, 1999, 37 (02): : 245 - 255
[7] PRACTICAL STABILITY OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS BY LYAPUNOV FUNCTIONS
Agarwal, Ravi
Hristova, S.
O'Regan, D.
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2016, 8 (01): : 53 - 68
[8] Impulsive stabilization of functional differential equations by Lyapunov-Razumikhin functions
Yan, JR
Shen, JH
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 37 (02) : 245 - 255
[9] Lyapunov method for boundedness of solutions of nonlinear impulsive functional differential equations
Stamova, Ivanka M.
APPLIED MATHEMATICS AND COMPUTATION, 2006, 177 (02) : 714 - 719
[10] Lyapunov method for boundedness of solutions of nonlinear impulsive functional differential equations
Stamova, IM
DYNAMIC SYSTEMS AND APPLICATIONS, 2005, 14 (3-4): : 561 - 568

← 1 2 3 4 5 →