Numerical boundary control for semilinear hyperbolic systems

IF 1 4区数学 Q1 MATHEMATICS

Mathematical Control and Related Fields Pub Date : 2022-03-28 DOI:10.3934/mcrf.2022040

Stephan Gerster, F. Nagel, Aleksey Sikstel, G. Visconti

引用次数: 0

Abstract

This work is devoted to the design of boundary controls of physical systems that are described by semilinear hyperbolic balance laws. A computational framework is presented that yields sufficient conditions for a boundary control to steer the system towards a desired state. The presented approach is based on a Lyapunov stability analysis and a CWENO-type reconstruction.

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半线性双曲系统的数值边界控制

这项工作致力于设计由半线性双曲平衡定律描述的物理系统的边界控制。提出了一个计算框架，该框架为边界控制提供了足够的条件，以使系统转向所需的状态。该方法基于Lyapunov稳定性分析和cweno型重构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Control and Related Fields MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

8.30%

发文量

期刊介绍： MCRF aims to publish original research as well as expository papers on mathematical control theory and related fields. The goal is to provide a complete and reliable source of mathematical methods and results in this field. The journal will also accept papers from some related fields such as differential equations, functional analysis, probability theory and stochastic analysis, inverse problems, optimization, numerical computation, mathematical finance, information theory, game theory, system theory, etc., provided that they have some intrinsic connections with control theory.