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
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