Orbit equivalence of linear systems on manifolds and semigroup actions on homogeneous spaces

2016/09/27 by Hungaro, Rafael M., Rocio, Osvaldo G., Santana, Alexandre J.
#Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1609.08379

Abstract

In this paper we introduce the notion of orbit equivalence for semigroup actions and the concept of generalized linear control system on smooth manifold. The main goal is to prove that, under certain conditions, the semigroup system of a generalized linear control system on a smooth manifold is orbit equivalent to the semigroup system of a linear control system on a homogeneous space.

Related

• Equivalence of Control Systems with Linear Systems on Lie Groups and Homogeneous Spaces
• A Semigroup associated to a linear control system on a Lie group
• Continuous orbit equivalence of semigroup actions
• Control Systems on Flag Manifolds and their chain Control sets
• Uniform enveloping semigroupoids for groupoid actions