Stability of highly nonlinear neutral stochastic differential delay equations

被引：58
|
作者：
Shen, Mingxuan [1 ,2 ]
Fei, Weiyin [2 ]
Mao, Xuerong [3 ]
Liang, Yong [2 ,4 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China
[2] Anhui Polytech Univ, Sch Math & Phys, Wuhu 241000, Anhui, Peoples R China
[3] Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland
[4] Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2018年 / 115卷
基金：
英国工程与自然科学研究理事会;
关键词：
Neutral stochastic differential delay equation; Nonlinear growth condition; Asymptotic stability; Delay dependent; Markovian switching; EXPONENTIAL STABILITY;
D O I：
10.1016/j.sysconle.2018.02.013
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Stability criteria for neutral stochastic differential delay equations (NSDDEs) have been studied intensively for the past several decades. Most of these criteria can only be applied to NSDDEs where their coefficients are either linear or nonlinear but bounded by linear functions. This paper is concerned with the stability of hybrid NSDDEs without the linear growth condition, to which we will refer as highly nonlinear ones. The stability criteria established in this paper will be dependent on delays. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：1 / 8
页数：8
相关论文
共 50 条
  • [1] 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
  • [2] Delay-dependent stability of highly nonlinear neutral stochastic functional differential equations
    Shen, Mingxuan
    Fei, Chen
    Fei, Weiyin
    Mao, Xuerong
    Mei, Chunhui
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (18) : 9957 - 9976
  • [3] Exponential Stability of Highly Nonlinear Neutral Pantograph Stochastic Differential Equations
    Shen, Mingxuan
    Fei, Weiyin
    Mao, Xuerong
    Deng, Shounian
    ASIAN JOURNAL OF CONTROL, 2020, 22 (01) : 436 - 448
  • [4] Stabilisation by delay feedback control for highly nonlinear neutral stochastic differential equations
    Shen, Mingxuan
    Fei, Chen
    Fei, Weiyin
    Mao, Xuerong
    SYSTEMS & CONTROL LETTERS, 2020, 137
  • [5] Stability of highly nonlinear hybrid stochastic integro-differential delay equations
    Fei, Chen
    Shen, Mingxuan
    Fei, Weiyin
    Mao, Xuerong
    Yan, Litan
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2019, 31 : 180 - 199
  • [6] Moment Exponential Stability of Neutral Impulsive Nonlinear Stochastic Delay Partial Differential Equations
    Zhang, Lei
    Ding, Yongsheng
    Wang, Tong
    Hu, Liangjian
    Hao, Kuangrong
    ASIASIM 2012, PT I, 2012, 323 : 322 - +
  • [7] Stability of Nonlinear Neutral Stochastic Functional Differential Equations
    Xue, Minggao
    Zhou, Shaobo
    Hu, Shigeng
    JOURNAL OF APPLIED MATHEMATICS, 2010,
  • [8] Ultimate boundedness and stability of highly nonlinear neutral stochastic delay differential equations with semi-Markovian switching signals
    Zhang, Zilong
    Zhu, Quanxin
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 138
  • [9] η-stability of hybrid neutral stochastic differential equations with infinite delay
    Caraballo, Tomas
    Mchiri, Lassaad
    Mohsen, Belfeki
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (04) : 1973 - 1989
  • [10] Fixed points and stability of neutral stochastic delay differential equations
    Luo, Jiaowan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) : 431 - 440
12345