Delay-dependent stability of nonlinear hybrid neutral stochastic differential equations with multiple delays

被引：42
作者：
Song, Ruili [1 ]
Wang, Bo [1 ]
Zhu, Quanxin [2 ,3 ]
机构：
[1] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing, Peoples R China
[2] Hunan Normal Univ, Sch Math & Stat, Changsha 410081, Peoples R China
[3] Chengdu Univ, Sch Informat Sci & Engn, Chengdu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2021年 / 31卷 / 01期
基金：
中国国家自然科学基金;
关键词：
asymptotic stability; Lyapunov functional; Markovian switching; nonlinear growth condition; NSDEs with multiple delays; EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; SYSTEMS; STABILIZATION; CRITERIA;
D O I：
10.1002/rnc.5275
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 article, we study the delay-dependent stability of a class of hybrid neutral stochastic differential equations (NSDEs) with multiple delays which is highly nonlinear. Some novel stability criteria are investigated according to Lyapunov functions and generalized Ito's formula. In particular, we generalize and improve the results in Shen et al,Systems & Control Letters(2018) from a single delay to multiple delays.
引用
收藏
页码：250 / 267
页数：18
相关论文
共 50 条
  • [31] Attraction of stochastic neutral delay differential equations with Markovian switching
    Li, Bing
    Xu, Daoyi
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2014, 31 (01) : 15 - 31
  • [32] Stability of Neutral Stochastic Partial Differential Equations with Infinite Delays and Jumps
    Jiang Feng
    Shen Yi
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 5190 - 5195
  • [33] Delay-Dependent Exponential Stability of Neutral Stochastic Delay Systems
    Huang, Lirong
    Mao, Xuerong
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (01) : 147 - 152
  • [34] New results on delay-dependent stability analysis for neutral stochastic delay systems
    Song, Bo
    Park, Ju H.
    Wu, Zheng-Guang
    Zhang, Ya
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (04): : 840 - 852
  • [35] H∞ and Asymptotic Stability via delay feedback for hybrid neutral stochastic delay differential equations with Levy noise
    Rhaima, Mohamed
    Mchiri, Lassaad
    Ben Makhlouf, A.
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2023, 40 (01) : 106 - 132
  • [36] A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation
    Chartbupapan, Watcharin
    Bagdasar, Ovidiu
    Mukdasai, Kanit
    MATHEMATICS, 2020, 8 (01)
  • [37] Stability of a Class of Hybrid Neutral Stochastic Differential Equations with Unbounded Delay
    Lu, Boliang
    Song, Ruili
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2017, 2017
  • [38] Delay-Dependent Stochastic Stability and H∞-Control of Uncertain Neutral Stochastic Systems With Time Delay
    Chen, Wu-Hua
    Zheng, Wei Xing
    Shen, Yanjun
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (07) : 1660 - 1667
  • [39] Delay-dependent Asymptotic Stability of Highly Nonlinear Stochastic Differential Delay Equations Driven by G-Brownian Motion
    Fei, Chen
    Fei, Weiyin
    Mao, Xuerong
    Yan, Litan
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (09): : 4366 - 4392
  • [40] NEW DELAY-DEPENDENT ROBUST STABILITY CRITERION for NEUTRAL STOCHASTIC NEURAL NETWORKS with TIME DELAYS
    Qing, Qiu-Ji
    He, Hai-Kuo
    Xi, Duo-Ming
    Lu, Ji-Yong
    PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-6, 2009, : 1145 - +
12345