Stability criteria of delay impulsive systems on time scales

被引：9
|
作者：
Ma, Yajun [1 ]
Sun, Jitao [1 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 04期
基金：
中国国家自然科学基金;
关键词：
stability; instability; time scale; delay impulsive system; Lyapunov functional;
D O I：
10.1016/j.na.2006.07.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study stability of delay impulsive systems on time scales. By using Lyapunov functional and analysis method, some stability and instability criteria for the delay system with impulses at fixed times on time scales are obtained. Two examples are presented to illustrate the efficiency of results proposed in this paper. (c) 2006 Elsevier. Ltd. All rights reserved.
引用
收藏
页码：1181 / 1189
页数：9
相关论文
共 50 条
  • [1] Stability criteria for impulsive systems on time scales
    Ma, Yajun
    Sun, Jitao
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 213 (02) : 400 - 407
  • [2] Stability analysis of positive switched impulsive systems with delay on time scales
    Lu, Xiaodong
    Li, Haitao
    Wang, Chuankui
    Zhang, Xianfu
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (16) : 6879 - 6890
  • [3] Stability criteria for impulsive systems with time delay and unstable system matrices
    Liu, Xinzhi
    Shen, Xuemin
    Zhang, Yi
    Wang, Qing
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2007, 54 (10) : 2288 - 2298
  • [4] New comparison principle and stability criteria for impulsive hybrid systems on time scales
    Wang, Peiguang
    Liu, Xia
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (05) : 1096 - 1103
  • [5] Robust stability criteria for linear impulsive delay systems
    Shao, Hanyong
    Yuan, Guangxia
    Han, Qing-Long
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (12) : 5652 - 5664
  • [6] Razumikhin and Krasovskii methods for asymptotic stability of nonlinear delay impulsive systems on time scales
    Zhang, Xianfu
    Lu, Xiaodong
    Liu, Zhi
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2019, 32 : 1 - 9
  • [7] Delay-dependent stability criteria for impulsive differential systems with delay
    Liu, XX
    Xu, BG
    Peng, DZ
    [J]. 2005 INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA), VOLS 1 AND 2, 2005, : 363 - 367
  • [8] Stability of impulsive control systems with time delay
    Liu, XZ
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2004, 39 (4-5) : 511 - 519
  • [9] Delay independent stability criteria of, impulsive switched systems with time-invariant delays
    Xu, Honglei
    Liu, Xinzhi
    Teo, Kok Lay
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2008, 47 (3-4) : 372 - 379
  • [10] An analysis on the controllability and stability to some fractional delay dynamical systems on time scales with impulsive effects
    Bakhtawar Pervaiz
    Akbar Zada
    Sina Etemad
    Shahram Rezapour
    [J]. Advances in Difference Equations, 2021
12345