耦合波动方程系统的精确群混合同步

IF 2.6 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2025-09-01 DOI:10.1016/j.ejcon.2025.101278

Tatsien Li , Bopeng Rao

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引用次数: 0

摘要

我们首先用平衡重划分的内部和边界混合控制方法证明了波动方程系统的精确可控性。然后研究了系统的群精确同步问题，给出了可实现的群精确同步状态集的完整描述。本文对前人的工作进行了总结。然而，它不是已知结果的简单集合，而是在一个复杂的系统中几种成分的协调。它提出了许多有趣的问题，并为该主题开辟了一个新的方向。

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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Exact mixed synchronization by groups for a coupled system of wave equations

We first show the exact controllability for a system of wave equations by means of mixed internal and boundary controls with balanced repartition. We then study the exact synchronization by groups for the system and give a complete description on the attainable set of the exactly synchronizable states by groups. This paper generalizes the previous works. However, it is not a simple collection of the known results, but rather than the coordination of several compositions in a complex system. It raises many interesting questions and opens up a new direction on this topic.

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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.