线性控制系统的全局可控性

IF 2.5 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2025-09-09 DOI:10.1016/j.sysconle.2025.106229

Fritz Colonius , Alexandre J. Santana

引用次数: 0

摘要

对于控制范围有界的线性控制系统，利用poincarcarcarve球将状态空间紧化。诱导控制流的线性化使得在球面上构造不变流形和在线性控制系统的状态空间中构造相应的流形成为可能。

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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Global controllability properties of linear control systems

For linear control systems with bounded control range, the state space is compactified using the Poincaré sphere. The linearization of the induced control flow allows the construction of invariant manifolds on the sphere and of corresponding manifolds in the state space of the linear control system.

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来源期刊

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.