Exponential stability for nonautonomous impulsive neutral partial stochastic evolution equations with delay

被引：5
|
作者：
Yan, Zuomao [1 ]
Lu, Fangxia [1 ]
机构：
[1] Hexi Univ, Dept Math, Zhangye, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2019年 / 92卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Nonautonomous impulsive neutral partial stochastic evolution equations; pseudo almost periodic in distribution; interpolation theory; exponential stability; fixed point; ALMOST-PERIODIC SOLUTIONS; FUNCTIONAL-DIFFERENTIAL EQUATIONS; EXISTENCE; DRIVEN;
D O I：
10.1080/00207179.2018.1426884
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we give sufficient conditions for the exponential stability of pseudo almost periodic in distribution mild solutions for nonautonomous impulsive neutral partial stochastic evolution equations with delay in a Hilbert space. Our working tools are based on the interpolation theory, the stochastic analysis techniques and fixed point theorem. To illustrate our main result, we study the exponential stability of a pseudo almost periodic in distribution solution for the neutral stochastic model arising in physical systems.
引用
收藏
页码：2037 / 2063
页数：27
相关论文
共 50 条
  • [31] Stability of a Class of Impulsive Neutral Stochastic Functional Partial Differential Equations
    Liu, Yue
    Ruan, Dehao
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 2020
  • [32] Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations with Markovian Switching
    XIAO Ke
    LI Shuyong
    Journal of Systems Science & Complexity, 2023, 36 (04) : 1560 - 1582
  • [33] Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations with Markovian Switching
    Xiao, Ke
    Li, Shuyong
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2023, 36 (04) : 1560 - 1582
  • [34] Exponential stability of neutral stochastic delay differential equations with Markovian switching
    Xu, Yan
    He, Zhimin
    APPLIED MATHEMATICS LETTERS, 2016, 52 : 64 - 73
  • [35] Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations with Markovian Switching
    Ke Xiao
    Shuyong Li
    Journal of Systems Science and Complexity, 2023, 36 : 1560 - 1582
  • [36] Exponential Stability of Highly Nonlinear Neutral Stochastic Differential Delay Equations
    Hu, Yinghui
    Zong, Xiaofeng
    She, Jinhua
    2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 1564 - 1569
  • [37] New criteria on exponential stability of neutral stochastic differential delay equations
    Luo, Qi
    Mao, Xuerong
    Shen, Yi
    SYSTEMS & CONTROL LETTERS, 2006, 55 (10) : 826 - 834
  • [38] Exponential Stability of Impulsive Delay Differential Equations
    Zhang, G. L.
    Song, M. H.
    Liu, M. Z.
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [39] Stability analysis for nonautonomous impulsive hybrid stochastic delay systems
    Chen, Huabin
    Shi, Peng
    Lim, Cheng-Chew
    SYSTEMS & CONTROL LETTERS, 2024, 187
  • [40] Second-order neutral impulsive stochastic evolution equations with infinite delay
    Yue, Chaohui
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
12345