Invariant cones for semigroups and controllability of bilinear control systems

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 syst...

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Veröffentlicht in:arXiv.org 2021-07
Hauptverfasser: Castelani, Emerson V, Cossich, João A N, Santana, Alexandre J, Viscovini, Eduardo C
Format: Artikel
Sprache:eng
Schlagworte:
Cones
Control systems
Controllability
Invariants
Semigroups
Stability
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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.
ISSN:2331-8422