Invariant cones for semigroups and controllability of bilinear control systems

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 system...

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Hauptverfasser: Castelani, Emerson V, Cossich, João A. N, Santana, Alexandre J, Viscovini, Eduardo C
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2107.11475