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
  • [21] On Retention of Eventual Stability of Perturbed Impulsive Differential Systems
    Sood, Anju
    Srivastava, Sanjay Kumar
    JOURNAL OF MATHEMATICAL AND FUNDAMENTAL SCIENCES, 2016, 48 (01) : 1 - 11
  • [22] On stability in nonlinear approximation of systems of impulsive differential equations
    A. I. Dvirnyi
    V. I. Slyn’ko
    Automation and Remote Control, 2014, 75 : 1893 - 1905
  • [23] Exponential Stability of Impulsive Differential Systems with Variable Delays
    Wang, Huamin
    Duan, Shukai
    Huang, Tingwen
    Wang, Lidan
    PROCEEDINGS OF THE 2016 12TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2016, : 1675 - 1680
  • [24] On stability in nonlinear approximation of systems of impulsive differential equations
    Dvirnyi, A. I.
    Slyn'ko, V. I.
    AUTOMATION AND REMOTE CONTROL, 2014, 75 (11) : 1893 - 1905
  • [25] Mean Square Stability of Impulsive Stochastic Differential Systems
    Yang, Shujie
    Shi, Bao
    Li, Mo
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 2011
  • [26] Exponential Stability of Impulsive Stochastic Functional Differential Systems
    Wu, Zheng
    Huang, Hao
    Wang, Lianglong
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [27] UNIFORM EXPONENTIAL STABILITY OF IMPULSIVE DELAY DIFFERENTIAL SYSTEMS
    Gupta, Bhanu
    Srivastava, Sanjay K.
    Mahajan, Aakanksha
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2009, 4 (01): : 29 - 39
  • [28] Stability analysis of impulsive fractional differential systems with delay
    Wang, Qi
    Lu, Dicheng
    Fang, Yayun
    APPLIED MATHEMATICS LETTERS, 2015, 40 : 1 - 6
  • [29] Exponential Stability of Impulsive Stochastic Delay Differential Systems
    Wu, Xiaotai
    Yan, Litan
    Zhang, Wenbing
    Chen, Liang
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
  • [30] A new comparison principle for impulsive differential systems with variable impulsive perturbations and stability theory
    Wang, Lin
    Fu, Xilin
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (05) : 730 - 736
12345