A Category of Control Systems

Author:

Biggs Rory1,Remsing Claudiu C.1

Affiliation:

1. 1Department of Mathematics (Pure and Applied), Rhodes University, PO Box 94, 6140 Grahamstown, South Africa

Abstract

Abstract We construct the concrete category LiCS of left-invariant control systems (on Lie groups) and point out some very basic properties. Morphisms in this category are examined briefly. Also, covering control systems are introduced and organized into a (comma) category associated with LiCS

Publisher

Walter de Gruyter GmbH

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Invariant Control Systems on Lie Groups;Lie Groups, Differential Equations, and Geometry;2017

2. Equivalence of Control Systems on the Pseudo-Orthogonal Group SO (2, 1)0;Analele Universitatii "Ovidius" Constanta - Seria Matematica;2016-06-01

3. Control systems on the Heisenberg group: equivalence and classification;Publicationes Mathematicae Debrecen;2016-01-01

4. Some remarks on the oscillator group;Differential Geometry and its Applications;2014-09

5. Control Systems on Three-Dimensional Lie Groups: Equivalence and Controllability;Journal of Dynamical and Control Systems;2014-03-25

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