Boundary Stabilization of Complex Coupled Hyperbolic Stochastic Systems

被引:0
|
作者
Gao, Yu [1 ]
Jia, Peining [1 ]
Wu, Kai-Ning [1 ]
Kang, Mingxin [2 ]
机构
[1] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China
[2] Ningbo Univ Technol, Sch Elect & Informat Engn, Ningbo 315211, Peoples R China
来源
关键词
Complex systems; Coupled hyperbolic stochastic systems; Stability; Boundary control; STABILITY;
D O I
10.1007/978-981-97-4399-5_36
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This study considers the boundary stabilization for complex coupled hyperbolic stochastic systems under the framework of Lyapunov stability. A boundary controller is designed for complex coupled hyperbolic stochastic systems, and sufficient criteria are presented to ensure the mean-square exponential stability of the controlled systems. From the obtained sufficient criterion, the relationship between characteristic velocity and the position of boundary controller is analyzed. An simulation is given to illustrate the effectiveness of the theoretical results.
引用
收藏
页码:382 / 389
页数:8
相关论文
共 50 条
  • [1] Indirect boundary stabilization of weakly coupled hyperbolic systems
    Alabau-Boussouira, F
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2002, 41 (02) : 511 - 541
  • [2] Indirect boundary stabilization of strongly coupled degenerate hyperbolic systems
    Salhi, Jawad
    Moumni, Alhabib
    Tilioua, Mouhcine
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024, 73 (04) : 1567 - 1590
  • [3] Boundary stabilization of weakly coupled hyperbolic systems by one control force
    Alabau-Boussouira, F
    PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 2998 - 3003
  • [4] Robust Boundary Stabilization of Stochastic Hyperbolic PDEs
    Zhang, Yihuai
    Auriol, Jean
    Yu, Huan
    2024 AMERICAN CONTROL CONFERENCE, ACC 2024, 2024, : 5333 - 5338
  • [5] Stabilization of Stochastic Fluctuations in Hyperbolic Systems
    Gerster, Stephan
    IFAC PAPERSONLINE, 2020, 53 (02): : 7223 - 7227
  • [6] BOUNDARY STABILIZATION OF HYPERBOLIC SYSTEMS WITH NO DISSIPATIVE CONDITIONS
    SUN, SH
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1982, 20 (06) : 862 - 883
  • [7] FEEDBACK STABILIZATION OF BILINEAR COUPLED HYPERBOLIC SYSTEMS
    Lamrani, Ilyasse
    El Harraki, Imad
    Boutoulout, Ali
    El Alaoui, Fatima-Zahrae
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021, 14 (10): : 3641 - 3657
  • [8] Boundary stabilization of hyperbolic systems related to overhead cranes
    Sano, Hideki
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2008, 25 (03) : 353 - 366
  • [9] Diffusion and robustness of boundary feedback stabilization of hyperbolic systems
    Bastin, Georges
    Coron, Jean-Michel
    Hayat, Amaury
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2023, 35 (01) : 159 - 185
  • [10] Boundary stabilization of 1D hyperbolic systems
    Hayat, Amaury
    ANNUAL REVIEWS IN CONTROL, 2021, 52 : 222 - 242