A Novel Approach to Discriminate Mean-Square Exponential Stability of Hybrid Stochastic Delay Differential Systems

被引:1
作者
Yu, Han [1 ]
Wu, Ailong [2 ]
Zeng, Zhigang [3 ]
机构
[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Peoples R China
[2] Hubei Normal Univ, Coll Math & Stat, Huangshi 435002, Peoples R China
[3] Huazhong Univ Sci & Technol, Sch Artificial Intelligence & Automat, Wuhan 430074, Peoples R China
关键词
Stochastic delay differential systems; Markov chain; mean square exponential stability; CRITERIA;
D O I
10.1109/TCSII.2023.3292270
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A new way of studying nonlinear stochastic delay differential systems with Markov chain is taken in this brief. New explicit identities for the mean square exponential stability of this systems are derived. Subsequently, the corresponding delay-independent and delay-dependent stability theorems are given. Finally, an example is provided to illustrate the validity.
引用
收藏
页码:4246 / 4250
页数:5
相关论文
共 50 条
  • [21] Mean-square stability of two classes of θ-methods for neutral stochastic delay integro-differential equations
    Liu, Xiaohua
    Deng, Feiqi
    Liu, Linna
    Luo, Shixian
    Zhao, Xueyan
    APPLIED MATHEMATICS LETTERS, 2020, 109
  • [22] Exponential mean-square stability of time-delay singular systems with Markovian switching and nonlinear perturbations
    Ding, Yucai
    Zhu, Hong
    Zhong, Shouming
    Zeng, Yong
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (04) : 2350 - 2359
  • [23] Mean-square exponential stability analysis for uncertain stochastic neutral systems with nonlinear perturbations and distributed delays
    Wang, Ruliang
    Luo, Haozhi
    2019 15TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS 2019), 2019, : 353 - 357
  • [24] Mean-Square Exponential Stability and Stabilisation of Stochastic Singular Systems with Multiple Time-Varying Delays
    Jian-Ning Li
    Yibo Zhang
    Ya-Jun Pan
    Circuits, Systems, and Signal Processing, 2015, 34 : 1187 - 1210
  • [25] Existence and mean-square exponential stability of mild solutions for impulsive stochastic partial differential equations with noncompact semigroup
    Gao, Dongdong
    Li, Jianli
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 484 (01)
  • [26] Mean square exponential stability of impulsive control stochastic systems with time-varying delay
    Xu, Liguang
    Xu, Daoyi
    PHYSICS LETTERS A, 2009, 373 (03) : 328 - 333
  • [27] Explicit criteria for mean square exponential stability of stochastic differential equations
    Pham Huu Anh Ngoc
    APPLIED MATHEMATICS LETTERS, 2019, 93 : 22 - 28
  • [28] Mean-square exponential stability for stochastic discrete-time recurrent neural networks with mixed time delays
    Li, Jian-Ning
    Li, Lin-Sheng
    NEUROCOMPUTING, 2015, 151 : 790 - 797
  • [29] MEAN-SQUARE EXPONENTIAL STABILITY ANALYSIS AND H∞ PERFORMANCE OF IMPULSIVE STOCHASTIC SYSTEMS WITH TIME-VARYING UNCERTAIN PARAMETERS
    Yang, Yanbing
    Liu, Jie
    Liu, Bin
    Shi, Yan
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2021, 17 (01): : 275 - 285
  • [30] Split-step theta method for stochastic delay integro-differential equations with mean square exponential stability
    Liu, Linna
    Mo, Haoyi
    Deng, Feiqi
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 353 : 320 - 328