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
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] 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
  • [32] Exponential Stability of Highly Nonlinear Hybrid Differently Structured Neutral Stochastic Differential Equations with Unbounded Delays
    Lu, Boliang
    Zhu, Quanxin
    He, Ping
    FRACTAL AND FRACTIONAL, 2022, 6 (07)
  • [33] Delay-Dependent Stability of Nonlinear Uncertain Stochastic Systems with Time-Varying Delays
    Wang, Cheng
    ADVANCES IN NEURAL NETWORKS - ISNN 2010, PT 1, PROCEEDINGS, 2010, 6063 : 675 - 683
  • [34] 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
  • [35] Delay-dependent stability analysis for neutral systems with equivalent delays
    Liu, Juan
    Qian, Wei
    Chen, Lin
    PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 536 - 540
  • [36] Delay-dependent stability of a class of neutral differential systems
    Wei, Ping
    Yu, Wensheng
    Wang, Long
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 362 - 367
  • [37] Delay-dependent stability analysis of Runge-Kutta methods for neutral delay differential equations
    宋明辉
    刘明珠
    B S SIDIBE
    Journal of Harbin Institute of Technology, 2002, (02) : 129 - 135
  • [38] 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 - +
  • [39] Stability of a Class of Nonlinear Neutral Stochastic Differential Equations with Variable Time Delays
    Wu, Meng
    Huang, Nanjing
    Zhao, Changwen
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2012, 20 (01): : 467 - 487
  • [40] A new delay-dependent criterion for neutral systems with multiple delays
    Park, JH
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 136 (1-2) : 177 - 184