On a Possibility of Decomposition of Continuous-time Linear Periodic Systems into Controllable and Uncontrollable Parts
Ichijo Hodaka, Ichiro Jikuya · Transactions of the Society of Instrument and Control Engineers · 2007
Some literature asserts that uncontrollable linear periodic systems can be decomposed into controllable and uncontrollable parts through appropriate state-space transformations and that the transformation matrices can be chosen to be a periodic function with the period of the systems. This paper points out that the assertion is not valid. A simple counterexample for the assertion is exhibited.