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Mathematics > Optimization and Control

Title: Invariant cones for semigroups and controllability of bilinear control systems

Authors: Emerson V. Castelani, João A. N. Cossich, Alexandre J. Santana, Eduardo C. Viscovini
(Submitted on 23 Jul 2021)
Abstract: In this paper we present necessary and sufficient conditions to guarantee the existence of invariant cones, for semigroup actions, in the space of the $k$-fold exterior product. As consequence we establish a necessary and sufficient condition for controllability of a class of bilinear control systems.
Subjects: Optimization and Control (math.OC); Dynamical Systems (math.DS)
Cite as: arXiv:2107.11475 [math.OC]
  (or arXiv:2107.11475v1 [math.OC] for this version)

Submission history

From: Alexandre Santana [view email]
[v1] Fri, 23 Jul 2021 22:25:43 GMT (18kb)
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