Stabilization by variable-delay feedback control for highly nonlinear hybrid stochastic differential delay equations

被引：19
|
作者：
Song, Ruili [1 ]
Wang, Bo [1 ]
Zhu, Quanxin [2 ]
机构：
[1] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing 210023, Jiangsu, Peoples R China
[2] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2021年 / 157卷
基金：
中国国家自然科学基金;
关键词：
Variable-delay feedback control; Highly nonlinear; Hybrid stochastic differential equations with variable-delay; Asymptotical stability; Exponential stability; STABILITY; SYSTEMS; BOUNDEDNESS;
D O I：
10.1016/j.sysconle.2021.105041
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider a hybrid SDE (stochastic differential equation) with variable delays, which is unstable and its coefficients satisfy some polynomial growth conditions. We want to find a variable-delays feedback control such that the controlled hybrid SDE with variable delay becomes stable. We establish some novel stability criteria of the controlled SDE with variable delays. Our results improve the existing results from hybrid SDEs with constant-delays to hybrid SDEs with variable-delays. Finally, an example is given to confirm our results. (c) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页数：8
相关论文
共 50 条
  • [31] Stabilization of differently structured hybrid neutral stochastic systems by delay feedback control under highly nonlinear condition
    Lu, Boliang
    Zhu, Quanxin
    Li, Sijia
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (03): : 2089 - 2115
  • [32] 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
  • [33] Stabilization and destabilisation of non-autonomous stochastic nonlinear delay differential equations
    Zhang, Xuekang
    Deng, Shounian
    Liang, Yong
    Fei, Weiyin
    INTERNATIONAL JOURNAL OF CONTROL, 2025, 98 (03) : 583 - 592
  • [34] Stability of highly nonlinear neutral stochastic differential delay equations
    Shen, Mingxuan
    Fei, Weiyin
    Mao, Xuerong
    Liang, Yong
    SYSTEMS & CONTROL LETTERS, 2018, 115 : 1 - 8
  • [35] Stability and Stabilization of Impulsive Stochastic Delay Differential Equations
    Wu, Kaining
    Ding, Xiaohua
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
  • [36] Stability and boundedness of nonlinear hybrid stochastic differential delay equations
    Hu, Liangjian
    Mao, Xuerong
    Shen, Yi
    SYSTEMS & CONTROL LETTERS, 2013, 62 (02) : 178 - 187
  • [37] Stabilisation of highly nonlinear hybrid stochastic delayed complex networks by delay feedback control
    Cheng, Lijuan
    Ren, Yong
    INTERNATIONAL JOURNAL OF CONTROL, 2025,
  • [38] 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
  • [39] Delay-Dependent Stabilization for Hybrid Stochastic Delay Systems by Discrete Time Feedback Control
    Li Yu-Yuan
    Kou Chun-hai
    CONFERENCE PROCEEDINGS OF 2017 3RD IEEE INTERNATIONAL CONFERENCE ON CONTROL SCIENCE AND SYSTEMS ENGINEERING (ICCSSE), 2017, : 35 - 40
  • [40] Robust Stability and Boundedness of Nonlinear Hybrid Stochastic Differential Delay Equations
    Hu, Liangjian
    Mao, Xuerong
    Zhang, Liguo
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (09) : 2319 - 2332
12345