6 papers · 1 filter
Global controllability properties of linear control systems
Fritz Colonius, Alexandre J. Santana
For linear control systems with bounded control range, the state space is compactified using the Poincaré sphere. The linearization of the induced control flow allows the construct…
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…
Semigroups and Controllability of Invariant Control Systems on
Bruno A. Rodrigues, Luiz A. B. San Martin, Alexandre J. Santana
Let be the Lie group of quaternionic matrices with . We prove that a subsemigroup $S \subse…
The General Solution for Affine Control Systems on Lie Groups
João Paulo Lima de Oliveira, Alexandre José Santana, Simão Nicolau Stelmastchuk
The purpose of this paper is to present explicitly the solution curve for affine control systems on Lie groups under the assumption that automorphisms associated to the linear vect…
Solution Curve for Linear Control Systems on Lie Groups
João Paulo Lima de Oliveira, Alexandre J. Santana, Simão N. Stelmastchuk
The purpose of this paper is to describe explicitly the solution for linear control systems on Lie groups. In case of linear control systems with inner derivations, the solution is…
Bounds for Invariance Pressure
Fritz Colonius, Alexandre J. Santana, João A. N. Cossich
This paper provides an upper for the invariance pressure of control sets with nonempty interior and a lower bound for sets with finite volume. In the special case of the control se…