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Invariant cones for semigroups and controllability of bilinear control systems

Published 23 Jul 2021 in math.OC and math.DS | (2107.11475v1)

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.

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