Strict Stability of Impulsive Differential Equations

被引：0
作者：
Yu ZHANG
Ji Tao SUN
机构：
[1] DepartmentofAppliedMathematics,TongjiUniversity
来源：
ActaMathematicaSinica(EnglishSeries) | 2006年 / 22卷 / 03期
关键词：
Impulsive differential equation; Strict stability; Lyapunov function;
D O I：
暂无
中图分类号：
O175.13 [稳定性理论];
学科分类号：
070104 ;
摘要：
In this paper,we will extend the strict stability to impulsive differential equations.By usingLyapunov functions,we will get some criteria for the strict stability of impulsive differential equations,and we can see that impulses do contribute to the system's strict stability behavior.An example isalso given in this paper to illustrate the efficiency of the obtained results.
引用
收藏
页码：813 / 818
页数：6
相关论文
共 50 条
[31]   Global exponential stability of impulsive differential equations with any time delays [J].
Wu, Quanjun ;
Zhou, Jin ;
Xiang, Lan .
APPLIED MATHEMATICS LETTERS, 2010, 23 (02) :143-147
[32]   Stability of sets for impulsive functional differential equations via Razumikhin method [J].
Xie S. ;
Shen J. .
Journal of Mathematical Sciences, 2011, 177 (3) :474-486
[33]   Asymptotical stability of Runge–Kutta methods for nonlinear impulsive differential equations [J].
Gui-Lai Zhang .
Advances in Difference Equations, 2020
[34]   Uncertain impulsive differential-difference equations and stability of moving invariant manifolds [J].
Stamov G. .
Journal of Mathematical Sciences, 2009, 161 (2) :320-326
[35]   Asymptotical stability of Runge-Kutta methods for nonlinear impulsive differential equations [J].
Zhang, Gui-Lai .
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[36]   BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS [J].
Li Hua School of Science Jinan University Jinan Luo Zhiguo Dept of Math Hunan Normal University Changsha .
Annals of Differential Equations, 2005, (03) :311-316
[37]   Impulsive stabilization of functional differential equations with infinite delays [J].
Luo, ZG ;
Shen, JH .
APPLIED MATHEMATICS LETTERS, 2003, 16 (05) :695-701
[38]   Strict Stability of Fractional Differential Equations with a Caputo Fractional Derivative with Respect to Another Function [J].
Agarwal, Ravi P. ;
Hristova, Snezhana ;
O'Regan, Donal .
MATHEMATICS, 2025, 13 (03)
[39]   Topological entropy for impulsive differential equations [J].
Andres, Jan .
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2020, (68) :1-15
[40]   On the stability of a set of systems of impulsive equations [J].
Martynyuk, A. A. .
DOKLADY MATHEMATICS, 2011, 83 (01) :100-103
12345