Stability of Impulsive Differential Systems

被引：3
|
作者：
Reinfelds, Andrejs [1 ,2 ]
Sermone, Lelde [2 ]
机构：
[1] Univ Latvia, Inst Math & Comp Sci, LV-1459 Riga, Latvia
[2] Univ Latvia, Fac Math & Phys, LV-1002 Riga, Latvia
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
EQUATIONS;
D O I：
10.1155/2013/253647
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The asymptotic phase property and reduction principle for stability of a trivial solution is generalized to the case of the noninvertible impulsive differential equations in Banach spaces whose linear parts split into two parts and satisfy the condition of separation.
引用
收藏
页数：11
相关论文
共 50 条
  • [41] Stability of impulsive delayed linear differential systems with delayed impulses
    Wang, Huamin
    Duan, Shukai
    Li, Chuandong
    Wang, Lidan
    Huang, Tingwen
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (08): : 3044 - 3068
  • [42] SOME RESULTS ON STABILITY OF DIFFERENTIAL-SYSTEMS WITH IMPULSIVE PERTURBATIONS
    MUKHERJEE, RN
    RAGHWENDRA
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1989, 20 (05): : 446 - 454
  • [43] Impulsive stability for systems of second order retarded differential equations
    Gimenes, L. P.
    Federson, M.
    Taboas, P.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (02) : 545 - 553
  • [44] Global exponential stability of impulsive stochastic functional differential systems
    Cheng, Pei
    Deng, Feiqi
    STATISTICS & PROBABILITY LETTERS, 2010, 80 (23-24) : 1854 - 1862
  • [45] Stability of trivial solution of impulsive integro-differential systems
    Zhang, Liqin
    Lv, Zhuoying
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 48 - 50
  • [46] Asymptotic Stability Criteria for a Class of Impulsive Functional Differential Systems
    Bohner, Martin J.
    Stamova, Ivanka M.
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2014, 8 (04): : 1475 - 1483
  • [47] Stability of solutions of linear impulsive systems of Itô differential equations with aftereffect
    R. I. Kadiev
    A. V. Ponosov
    Differential Equations, 2007, 43 : 898 - 904
  • [48] Robust exponential stability of uncertain impulsive delays differential systems
    Li, Dengwang
    Li, Xiaodi
    NEUROCOMPUTING, 2016, 191 : 12 - 18
  • [49] Stability and H∞ performance analysis for a class of impulsive differential systems
    Zhu, Baolong
    Ma, Jie
    Li, Shunli
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2018, 40 (15) : 4125 - 4132
  • [50] Uniform stability of impulsive infinite delay differential equations with applications to systems with integral impulsive conditions
    Li, Xiaodi
    Akca, Haydar
    Fu, Xillin
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (14) : 7329 - 7337
12345