Author:
Colonius Fritz,Santana Alexandre,Setti Juliana
Abstract
AbstractFor periodic linear control systems with bounded control range, an autonomized system is introduced by adding the phase to the state of the system. Here, a unique control set (i.e., a maximal set of approximate controllability) with nonvoid interior exists. It is determined by the spectral subspaces of the homogeneous part which is a periodic linear differential equation. Using the Poincaré sphere, one obtains a compactification of the state space allowing us to describe the behavior “near infinity” of the original control system. Furthermore, an application to quasi-affine systems yields a unique control set with nonvoid interior.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Control and Optimization,Signal Processing,Control and Systems Engineering