4 papers · 1 filter
Vertical Control Systems on Tangent Bundles and Fiberwise Controllability
S. N. Stelmastchuk
We study control systems on the tangent bundle of a smooth manifold induced by vertical lifts of vector fields. The Vertical dynamics acts exclusively along the fibers, leaving the…
Projective Controllability of Complete Lifted Control Systems
S. N. Stelmastchuk
We introduce the complete lifted control system associated with a control system on a smooth manifold by replacing each vector field with its complete lift to the tangent bundle. W…
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…