Feedback boundary control of multi-dimensional hyperbolic systems with relaxation

被引：1
|
作者：
Yang, Haitian [1 ]
Yong, Wen-An [1 ,2 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Beijing Inst Math Sci & Applicat, Beijing 101408, Peoples R China
来源：
AUTOMATICA | 2024年 / 167卷
基金：
国家重点研发计划; 中国国家自然科学基金;
关键词：
Boundary stabilization; Control laws; Hyperbolic relaxation systems; Structural stability condition; 2-D Saint-Venant equations; QUADRATIC LYAPUNOV FUNCTION; EXPONENTIAL STABILITY; STABILIZATION; CONTROLLABILITY; TIME; EQUATIONS; LAWS;
D O I：
10.1016/j.automatica.2024.111791
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 boundary stabilization of multi-dimensional hyperbolic systems of partial differential equations. By adapting the Lyapunov function previously proposed by the second author for linearized hyperbolic systems with relaxation structure, we derive certain control laws so that the corresponding solutions decay exponentially in time. The result is illustrated with an application to water flows in open channels. The effectiveness of the derived control laws is confirmed by numerical simulations. (c) 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：7
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