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

[21] Switched nonlinear differential algebraic equations: Solution theory, Lyapunov functions, and stability
Liberzon, Daniel
Trenn, Stephan
AUTOMATICA, 2012, 48 (05) : 954 - 963
[22] On Ψ-stability of nonlinear Lyapunov matrix differential equations
Diamandescu, Aurel
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (54) : 1 - 18
[23] Razumikhin-type theorem for pth exponential stability of impulsive stochastic functional differential equations based on vector Lyapunov function
Cao, Wenping
Zhu, Quanxin
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 39
[24] Stability of impulsive stochastic differential equations in terms of two measures via perturbing Lyapunov functions
Zhang, Shuorui
Sun, Jitao
Zhang, Yu
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) : 5181 - 5186
[25] STABILITY OF IMPULSIVE HYBRID SET-VALUED DIFFERENTIAL EQUATIONS WITH DELAY BY PERTURBING LYAPUNOV FUNCTIONS
Ahmad, B.
JOURNAL OF APPLIED ANALYSIS, 2008, 14 (02) : 209 - 218
[26] A Novel Lyapunov Asymptotic Eventual Stability Approach for Nonlinear Impulsive Caputo Fractional Differential Equations
Ante, Jackson E.
Ineh, Michael P.
Achuobi, Jonas O.
Akai, Uwem P.
Atsu, Jeremiah U.
Offiong, Nnanake-Abasi O.
APPLIEDMATH, 2024, 4 (04): : 1600 - 1617
[27] Stability of nonlinear impulsive partial differential equations
Luo, Q
Zhang, YT
Proceedings of 2005 International Conference on Machine Learning and Cybernetics, Vols 1-9, 2005, : 965 - 968
[28] Noninstantaneous impulses in Caputo fractional differential equations and practical stability via Lyapunov functions
Agarwal, Ravi
Hristova, S.
O'Regan, D.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (07): : 3097 - 3119
[29] ON PRACTICAL STABILITY OF DIFFERENTIAL INCLUSIONS USING LYAPUNOV FUNCTIONS
Pichkur, Volodymyr
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (05): : 1977 - 1986
[30] Solutions of nonlinear impulsive It functional-differential equations: Stability by the linear approximation
Kadiev, R. I.
DIFFERENTIAL EQUATIONS, 2013, 49 (08) : 933 - 940

← 1 2 3 4 5 →