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Mathematics > Optimization and Control

arXiv:1812.05004 (math)
[Submitted on 12 Dec 2018]

Title:Control sets of linear systems on semi-simple Lie groups

Authors:Victor Ayala, Adriano Da Silva, Philippe Jouan, Guilherme Zsigmond
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Abstract:In this paper we study the main properties of control sets with nonempty interior of linear control systems on semisimple Lie groups. We show that, unlike the solvable case, linear control systems on semisimple Lie groups may have more than one control set with nonempty interior and that they are contained in right translations of the one around the identity.
Subjects: Optimization and Control (math.OC)
Cite as: arXiv:1812.05004 [math.OC]
  (or arXiv:1812.05004v1 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.1812.05004

Submission history

From: Adriano Da Silva [view email]
[v1] Wed, 12 Dec 2018 16:19:37 UTC (43 KB)
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