Title :
A note on the input-output structure of linear periodic continuous-time systems with real-valued coefficients
Author :
Jikuya, Ichiro ; Hodaka, Ichijo
Author_Institution :
Dept. of Aerosp. Engineerging, Nagoya Univ., Nagoya, Japan
Abstract :
In this paper, a Kalman canonical decomposition of finite-dimensional linear periodic continuous-time systems is considered. This paper firstly investigates the invariance properties of the controllable subspace and the observable subspace. This paper then illustrates a counterexample to the existence of the periodic Kalman canonical decomposition in a typical setting, where the coefficients are restricted to be real-valued and the period of the transformed system is restricted to be the same as the given system. Motivated by this counterexample, this paper gives a self-contained exposition of the periodic Kalman canonical decomposition in real-valued coefficients.
Keywords :
continuous time systems; controllability; invariance; multidimensional systems; controllable subspace; finite-dimensional linear periodic continuous-time system; input-output structure; invariance property; observable subspace; periodic Kalman canonical decomposition; real-valued coefficient; self-contained exposition; Controllability; Kalman filters; Matrix decomposition; Observability; Periodic structures; Time-varying systems; Vectors;
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
Print_ISBN :
978-1-4799-0177-7
DOI :
10.1109/ACC.2013.6580319