The Chain Control Set of a Linear Control System

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 11 Jun 2025Embargo end date: 01 Jun 2023 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Control and Optimization, volume 63, pages 2,053-2,071 (issn: 0363-0129, eissn: 1095-7138,

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Authors: Adriano Da Silva 0001;

doi: 10.1137/23m1614055 , 10.48550/arxiv.2306.12936

arXiv: 2306.12936

The Chain Control Set of a Linear Control System

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Abstract

In this paper, we analyze the chain control sets of linear control systems on connected Lie groups. Our main result shows that the compactness of the central subgroup associated with the drift is a necessary and sufficient condition to assure the uniqueness and compactness of the chain control set.

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University of Tarapacá
Chile

Keywords

linear control systems, Lie groups, Linear systems in control theory, Optimization and Control (math.OC), Nilpotent and solvable Lie groups, FOS: Mathematics, Mathematics - Optimization and Control, chain control sets

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