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

被引：16
|
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
  • [21] Delay Feedback Control Based on Discrete-time State Observations for Highly Nonlinear Hybrid Stochastic Functional Differential Equations With Infinite Delay
    Zhao, Lei
    Fan, Qiuqiu
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2024, 22 (02) : 560 - 570
  • [22] Delay Feedback Control Based on Discrete-time State Observations for Highly Nonlinear Hybrid Stochastic Functional Differential Equations With Infinite Delay
    Lei Zhao
    Qiuqiu Fan
    International Journal of Control, Automation and Systems, 2024, 22 : 560 - 570
  • [23] Discrete feedback control for highly nonlinear neutral stochastic delay differential equations with Markovian switching
    Mei, Chunhui
    Fei, Chen
    Shen, Mingxuan
    Fei, Weiyin
    Mao, Xuerong
    INFORMATION SCIENCES, 2022, 592 : 123 - 136
  • [24] Delay feedback control of highly nonlinear neutral stochastic delay differential equations driven by G-Brownian motion
    Liu, Zhiguang
    Zhu, Quanxin
    SYSTEMS & CONTROL LETTERS, 2023, 181
  • [25] Stabilization and destabilization of nonlinear stochastic differential delay equations
    Zhang, Xuekang
    Yi, Haoran
    Shu, Huisheng
    STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2020, 92 (01) : 124 - 139
  • [26] STABILIZATION OF HYBRID STOCHASTIC DIFFERENTIAL EQUATIONS BY DELAY FEEDBACK CONTROL BASED ON DISCRETE-TIME OBSERVATIONS
    Chen, Xing
    Li, Xiaoyue
    Mao, Xuerong
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2024,
  • [27] Stabilization by delay feedback control for highly nonlinear switched stochastic systems with non-differentiable delay
    Zhao, Ying
    Zhu, Quanxin
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2024, 54
  • [28] 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
  • [29] Stabilisation in distribution by delay feedback controls for hybrid stochastic delay differential equations
    Li, Yuyuan
    You, Surong
    Lu, Jianqiu
    Jiang, Yanan
    Hu, Liangjian
    Mao, Xuerong
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2023, 54 (05) : 1070 - 1086
  • [30] Stabilization by delay feedback control for highly nonlinear switched stochastic systems with time delays
    Zhao, Ying
    Zhu, Quanxin
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (08) : 3070 - 3089
12345