Stabilization of 2 x 2 linear hyperbolic systems with delayed feedback boundary

被引：0
|
作者：
Boulouz, Abed [1 ]
机构：
[1] Ibn Zohr Univ, Fac Sci, Dept Math, BP8106, Hay Dakhla, Agadir, Morocco
来源：
IFAC PAPERSONLINE | 2022年 / 55卷 / 12期
关键词：
Positive semigroups; Feedback theory; Control and observation operators; Exponential stability; hyperbolic systems; STABILITY;
D O I：
10.1016/j.ifacol.2022.07.310
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 paper is concerned with the stabilization of linear hyperbolic systems with time lags in the boundary feedback. The well-posedness of such system is established. Moreover, we derived necessary and sufficient conditions on stabilization of hyperbolic systems with delayed feedback boundary. Our approach is mainly based on the feedback theory of infinite dimensional linear systems and the theory of positive semigroups. Copyright (C) 2022 The Authors.
引用
收藏
页码：193 / 197
页数：5
相关论文
共 50 条
  • [1] On boundary feedback stabilization of non-uniform linear 2 x 2 hyperbolic systems over a bounded interval
    Bastin, Georges
    Coron, Jean-Michel
    SYSTEMS & CONTROL LETTERS, 2011, 60 (11) : 900 - 906
  • [2] Output feedback boundary control of 2 x 2 semilinear hyperbolic systems
    Strecker, Timm
    Aamo, Ole Morten
    AUTOMATICA, 2017, 83 : 290 - 302
  • [3] CONTROL AND STABILIZATION OF 2 x 2 HYPERBOLIC SYSTEMS ON GRAPHS
    Nicaise, Serge
    MATHEMATICAL CONTROL AND RELATED FIELDS, 2017, 7 (01) : 53 - 72
  • [4] Backstepping Control of Linear 2 x 2 Hyperbolic Systems with Dynamic Boundary Conditions
    Deutscher, J.
    Gehring, N.
    Kern, R.
    IFAC PAPERSONLINE, 2017, 50 (01): : 4522 - 4527
  • [5] 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
  • [6] The dichotomy property in stabilizability of 2 x 2 linear hyperbolic systems
    Huang, Xu
    Wang, Zhiqiang
    Zhou, Shijie
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2024, 30
  • [7] Feedback boundary control of linear hyperbolic systems with relaxation
    Herty, Michael
    Yong, Wen-An
    AUTOMATICA, 2016, 69 : 12 - 17
  • [8] Estimation of an Uncertain Bilinear Boundary Condition in Linear 2 x 2 Hyperbolic Systems with Application to Drilling
    Holta, Haavard
    Anfinsen, Henrik
    Aamo, Ole Morten
    2017 17TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS), 2017, : 188 - 193
  • [9] Boundary predictive control with Riemann invariants approach for 2 x 2 hyperbolic systems
    Zeng, Ningjun
    Cen, Lihui
    Xie, Yongfang
    Liu, Jinping
    Zhang, Shaohui
    CHAOS SOLITONS & FRACTALS, 2024, 185
  • [10] Boundary feedback stabilization of quasilinear hyperbolic systems with partially dissipative structure
    Wang, Ke
    Wang, Zhiqiang
    Yao, Wancong
    SYSTEMS & CONTROL LETTERS, 2020, 146
12345