具有固定界面的无限维端口-哈密顿系统

IF 2.5 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2025-02-05 DOI:10.1016/j.ejcon.2025.101190

Alexander Kilian , Bernhard Maschke , Andrii Mironchenko , Fabian Wirth

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引用次数: 0

摘要

我们考虑两个具有两个守恒定律的系统，它们被定义在互补的一维空间区间上，并通过一个界面耦合为单个端口-哈密顿系统。在接口位置固定的情况下，刻画了相关的port- hamilton算子生成收缩半群的边界条件和接口条件。进一步给出了所生成的c0 -半群的指数稳定性的充分条件。以膜界面耦合的两个声波导为例说明了上述结果。

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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Infinite-dimensional port-Hamiltonian systems with a stationary interface

We consider two systems of two conservation laws that are defined on complementary, one-dimensional spatial intervals and coupled by an interface as a single port-Hamiltonian system. In case of a fixed interface position, we characterize the boundary and interface conditions for which the associated port-Hamiltonian operator generates a contraction semigroup. Furthermore, we present sufficient conditions for the exponential stability of the generated

C_{0}

-semigroup. The results are illustrated by the example of two acoustic waveguides coupled by a membrane interface.

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来源期刊

European Journal of Control 工程技术-自动化与控制系统

CiteScore

5.80

自引率

5.90%

发文量

131

审稿时长

1 months

期刊介绍： The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.