Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays

被引：0
|
作者：
Mingxuan Shen
Chen Fei
Weiyin Fei
Xuerong Mao
机构：
[1] Nanjing University of Science and Technology,School of Science
[2] Donghua University,Glorious Sun School of Business and Management
[3] Anhui Polytechnic University,School of Mathematics and Physics
[4] University of Strathclyde,Department of Mathematics and Statistics
来源：
Science China Information Sciences | 2019年 / 62卷
关键词：
hybrid delay systems; neutral stochastic systems; multiple delays; highly nonlinear;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper reports the boundedness and stability of highly nonlinear hybrid neutral stochastic differential delay equations (NSDDEs) with multiple delays. Without imposing linear growth condition, the boundedness and exponential stability of the exact solution are investigated by Lyapunov functional method. In particular, using the M-matrix technique, the mean square exponential stability is obtained. Finally, three examples are presented to verify our results.
引用
收藏
相关论文
共 50 条
  • [41] Stability of highly nonlinear neutral stochastic differential delay equations
    Shen, Mingxuan
    Fei, Weiyin
    Mao, Xuerong
    Liang, Yong
    SYSTEMS & CONTROL LETTERS, 2018, 115 : 1 - 8
  • [42] Boundedness and stability of nonlinear hybrid neutral stochastic delay differential equation with Lévy jumps under different structures
    Song, Ruili
    Zhao, Jiayu
    Zhu, Quanxin
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2024, 361 (08):
  • [43] STRUCTURED ROBUST STABILITY AND BOUNDEDNESS OF NONLINEAR HYBRID DELAY SYSTEMS
    Fei, Weiyin
    Hu, Liangjian
    Mao, Xuerong
    Shen, Mingxuan
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2018, 56 (04) : 2662 - 2689
  • [44] The Stability for Uncertain Nonlinear Neutral Systems with Time-delays
    Yang, Zhanmin
    Wang, Shuying
    Zhang, Qinghai
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 2598 - 2601
  • [45] STABILITY ANALYSIS OF HIGHLY NONLINEAR HYBRID MULTIPLE-DELAY STOCHASTIC DIFFERENTIAL EQUATIONS
    Fei, Chen
    Fei, Weiyin
    Mao, Xuerong
    Shen, Mingxuan
    Yan, Litan
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (03): : 1053 - 1070
  • [46] Stability of highly nonlinear neutral stochastic delay systems with non-random switching signals
    Zhao, Ying
    Zhu, Quanxin
    SYSTEMS & CONTROL LETTERS, 2022, 165
  • [47] Advances in nonlinear hybrid stochastic differential delay equations: Existence, boundedness and stability
    Hu, Junhao
    Mao, Wei
    Mao, Xuerong
    AUTOMATICA, 2023, 147
  • [48] Exponential ultimate boundedness of nonlinear stochastic difference systems with time-varying delays
    Xu, Liguang
    Ge, Shuzhi Sam
    INTERNATIONAL JOURNAL OF CONTROL, 2015, 88 (05) : 983 - 989
  • [49] New Exponential Stability Results for Neutral Stochastic Systems with Distributed Delays
    Wang, Jian
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2016, 2016
  • [50] Stability of linear neutral systems with multiple delays: boundary criteria
    Hu, GD
    Hu, GD
    Zou, XF
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 148 (03) : 707 - 715
12345