Strict Stability of Impulsive Differential Equations

被引:0
作者
Yu ZHANG
Ji Tao SUN
机构
[1] DepartmentofAppliedMathematics,TongjiUniversity
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
[41]   Stability results for impulsive pantograph equations [J].
Guan, Kaizhong ;
Luo, Zhiwei .
APPLIED MATHEMATICS LETTERS, 2013, 26 (12) :1169-1174
[42]   On the stability of a set of systems of impulsive equations [J].
A. A. Martynyuk .
Doklady Mathematics, 2011, 83 :100-103
[43]   Stability of Runge-Kutta methods in the numerical solution of linear impulsive differential equations [J].
Liu, M. Z. ;
Liang, Hui ;
Yang, Z. W. .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 192 (02) :346-357
[44]   An analog to Kamenkov's critical stability case for nonstationary systems of impulsive differential equations [J].
Dvirny A.I. ;
Slyn'ko V.I. .
Journal of Mathematical Sciences, 2013, 188 (2) :85-101
[45]   Boundedness results for impulsive functional differential equations with infinite delays [J].
Li H. ;
Luo Z. .
Journal of Applied Mathematics and Computing, 2005, 18 (1-2) :261-272
[46]   Strict stability with respect to initial time difference for Caputo fractional differential equations by Lyapunov functions [J].
Agarwal, Ravi P. ;
O'Regan, Donal ;
Hristova, Snezhana .
GEORGIAN MATHEMATICAL JOURNAL, 2017, 24 (01) :1-13
[47]   Eventual stability of impulsive differential systems [J].
Zhang Yu ;
Sun Jitao .
ACTA MATHEMATICA SCIENTIA, 2007, 27 (02) :373-380
[48]   Stability of Differential Systems with Impulsive Effects [J].
Li, Chunxiang ;
Hui, Fangshu ;
Li, Fangfei .
MATHEMATICS, 2023, 11 (20)
[49]   EVENTUAL STABILITY OF IMPULSIVE DIFFERENTIAL SYSTEMS [J].
张瑜 ;
孙继涛 .
Acta Mathematica Scientia, 2007, (02) :373-380
[50]   EXISTENCE OF THREE SOLUTIONS TO IMPULSIVE DIFFERENTIAL EQUATIONS [J].
Li, Jianli ;
Shen, Jianhua .
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2012, 24 (02) :273-281