Lyapunov Functions for Linear Hyperbolic Systems

被引：1

作者：

Atamas, Ivan ^{[1
]}

Dashkovskiy, Sergey ^{[1
]}

Slynko, Vitalii ^{[1
]}

机构：

[1] Julius Maximilians Univ Wurzburg, D-97074 Wurzburg, Germany

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 11期

关键词：

Coupled systems; exponential L-2-stability; linear nonstrictly hyperbolic systems; Lyapunov function; BOUNDARY FEEDBACK STABILIZATION; EXPONENTIAL STABILITY; EQUATIONS;

D O I：

10.1109/TAC.2023.3247879

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, we develop new methods to construct a Lyapunov function for 1-D linear hyperbolic equations with variable coefficients. The main focus is on the nonstrictly hyperbolic case for which we give an example demonstrating that existing approaches cannot provide sufficient conditions for the asymptotic stability, but our approach does. Sufficient conditions for exponential L-2-stability for a connected 2 x 2 system of linear 1-D hyperbolic systems are obtained. By means of examples, we compare the capabilities of our approach with the existing ones.

引用

页码：6496 / 6508

页数：13

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