Stabilization in distribution by discrete-time feedback control of hybrid delay systems with Lévy noise

被引：0
|
作者：
Moualkia, Seyfeddine [1 ,3 ]
Liu, Yang [1 ,2 ]
Lu, Jianquan [4 ]
Qiu, Jianlong [5 ]
机构：
[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China
[2] Yili Normal Univ, Sch Math & Stat, Yining 835000, Peoples R China
[3] Univ 8 mai 1945, Dept Math, Guelma 24000, Algeria
[4] Southeast Univ, Sch Math, Dept Syst Sci, Nanjing 210096, Peoples R China
[5] Linyi Univ, Sch Automat & Elect Engn, Linyi 276005, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE | 2025年 / 362卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Highly nonlinear system; Hybrid stochastic system; L & eacute; vy noise; Delayed feedback control; Discrete-time state observation; Stability in distribution; DIFFERENTIAL-EQUATIONS; POPULATION-DYNAMICS; STABILITY ANALYSIS; DIFFUSIONS;
D O I：
10.1016/j.jfranklin.2024.107456
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This manuscript is concerned with a class of hybrid stochastic delay systems driven by L & eacute;vy noise (SDS-LN), where the coefficients are highly nonlinear. The key objective is to investigate the stabilization question of a given unstable SDS-LN via delayed discrete-time feedback controls. Under a set of appropriate assumptions and with the help of Lyapunov functional method, the existence of unique global solutions and its boundedness are showed. In addition, the stability in distribution of the controlled hybrid SDS-LN is discussed. As an application, we list an example attached with its corresponding numerical simulations to support the theoretical results.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] Stabilization of unstable impulsive systems via stochastic discrete-time feedback control with Lévy noise
    Zhang, Mengmeng
    Zhu, Quanxin
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2025, 56
  • [2] Stabilization in distribution of hybrid stochastic differential delay equations with Le<acute accent>vy noise by discrete-time state feedback controls
    Yang, Jingjing
    Lu, Jianqiu
    AIMS MATHEMATICS, 2025, 10 (02): : 3457 - 3483
  • [3] Stabilization of impulsive hybrid stochastic differential equations with Lévy noise by feedback control based on discrete-time state observations
    Liu, Xin
    Cheng, Pei
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 137
  • [4] Stabilization of hybrid stochastic systems with time-varying delay by discrete-time state feedback control
    Mao, Wei
    Xiao, Xiao
    Miao, Liangliang
    Hu, Liangjian
    ADVANCES IN CONTINUOUS AND DISCRETE MODELS, 2023, 2023 (01):
  • [5] Stabilization of hybrid stochastic systems with time-varying delay by discrete-time state feedback control
    Wei Mao
    Xiao Xiao
    Liangliang Miao
    Liangjian Hu
    Advances in Continuous and Discrete Models, 2023
  • [6] On pth moment stabilization of hybrid systems by discrete-time feedback control
    Dong, Ran
    Mao, Xuerong
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2017, 35 (05) : 803 - 822
  • [7] Stabilization of highly nonlinear hybrid systems driven by Levy noise and delay feedback control based on discrete-time state observations
    Moualkia, Seyfeddine
    Xu, Yong
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (02): : 1005 - 1035
  • [8] Robust stabilization of hybrid uncertain stochastic systems with time-varying delay by discrete-time feedback control
    Li, Yuyuan
    Kou, Chunhai
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [9] Robust stabilization of hybrid uncertain stochastic systems with time-varying delay by discrete-time feedback control
    Yuyuan Li
    Chunhai Kou
    Advances in Difference Equations, 2017
  • [10] Stabilization of hybrid systems by intermittent feedback controls based on discrete-time observations with a time delay
    Jiang, Yanan
    Hu, Liangjian
    Lu, Jianqiu
    Mao, Wei
    Mao, Xuerong
    IET CONTROL THEORY AND APPLICATIONS, 2021, 15 (16): : 2039 - 2052
12345