21 citations · 71 across the 19 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.OC2020
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…
math.OC2020
Outer invariance entropy for discrete-time linear systems on Lie groups
Fritz Colonius, João A. N. Cossich, Alexandre J. Santana
We introduce discrete-time linear control systems on connected Lie groups and present an upper bound for the outer invariance entropy of admissible pairs (K,Q). If the stable subgr…
math.OC2020
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…