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Mathematics > Optimization and Control

Title: Controllability of discrete-time linear systems on solvable Lie groups

Authors: Thiago Cavalheiro, Alexandre Santana, João Cossich
(Submitted on 31 Jan 2023 (v1), last revised 28 Mar 2024 (this version, v5))
Abstract: The objective of this paper is to study the controllability of discrete-time linear control systems in solvable Lie groups. In the special case of nilpotent Lie groups, a necessary and sufficient condition for controllability is established. Furthermore, the class of discrete-time linear systems in the two-dimensional affine Lie group is constructed and a condition for controllability of these systems is also stated.
Subjects: Optimization and Control (math.OC)
Cite as: arXiv:2302.00145 [math.OC]
  (or arXiv:2302.00145v5 [math.OC] for this version)

Submission history

From: Thiago Cavalheiro [view email]
[v1] Tue, 31 Jan 2023 23:42:36 GMT (20kb)
[v2] Sun, 5 Feb 2023 21:53:41 GMT (20kb)
[v3] Mon, 18 Dec 2023 18:26:14 GMT (21kb)
[v4] Wed, 20 Dec 2023 12:32:08 GMT (21kb)
[v5] Thu, 28 Mar 2024 23:47:40 GMT (21kb)
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