# Invariant cones for semigroups and controllability of bilinear control systems

@inproceedings{Castelani2021InvariantCF, title={Invariant cones for semigroups and controllability of bilinear control systems}, author={Emerson Vitor Castelani and Jo{\~a}o A. N. Cossich and Alexandre J. Santana and Eduardo C. Viscovini}, year={2021} }

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. AMS 2020 subject classification: 22E46, 93B05, 20M20

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