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math.OC2021
Invariant cones for semigroups and controllability of bilinear control systems
Emerson V. Castelani, João A. N. Cossich, Alexandre J. Santana +1
In this paper we present necessary and sufficient conditions to guarantee the existence of invariant cones, for semigroup actions, in the space of the -fold exterior product. As…
math.OC2021
Control Sets for Bilinear and Affine Systems
Fritz Colonius, Juliana Raupp, Alexandre J. Santana
For homogeneous bilinear control systems, the control sets are characterized using a Lie algebra rank condition for the induced systems on projective space. This is based on a clas…