Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems

IF 2.1 3区 计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS
Yacine Chitour , Sébastien Fueyo , Guilherme Mazanti , Mario Sigalotti
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引用次数: 0

Abstract

This paper deals with the controllability of linear one-dimensional hyperbolic systems. Reformulating the problem in terms of linear difference equations and making use of infinite-dimensional realization theory, we obtain both necessary and sufficient conditions for approximate and exact controllability, expressed in the frequency domain. The results are applied to flows in networks.

线性一维双曲系统的近似和精确可控性标准
本文论述线性一维双曲系统的可控性。我们用线性差分方程对问题进行了重新表述,并利用无穷维实现理论,获得了在频域表示的近似和精确可控性的必要条件和充分条件。这些结果被应用于网络中的流动。
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
Systems & Control Letters
Systems & Control Letters 工程技术-运筹学与管理科学
CiteScore
4.60
自引率
3.80%
发文量
144
审稿时长
6 months
期刊介绍: Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.
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