Title :
Transformability from discrete-time periodic non-homogeneous systems to time-invariant ones
Author :
Hayakawa, Yoshikazu ; Jimbo, Tomohiko
Author_Institution :
Dept. of Mech. Sci. & Eng., Nagoya Univ., Nagoya, Japan
Abstract :
This paper considers when a discrete-time periodic non-homogeneous system can be transformed to a time-invariant one by using regular linear mappings of state variables, inputs and outputs, respectively. The problem on a homogeneous system has been already solved as discrete-time Floquet transformation, and also the similarity classes of Floquet transformations have been characterized. Those previous results are used to derive some conditions on transformability of non-homogeneous systems.
Keywords :
discrete time systems; matrix algebra; time-varying systems; discrete-time Floquet transformation; discrete-time periodic nonhomogeneous system; nonsingular matrix; regular linear mapping; similarity class; state variable; system transformability; time-invariant system; Automotive engineering; Control design; Eigenvalues and eigenfunctions; Engines; Ignition; Linear systems; Nonlinear systems; Sparks; State-space methods; Synthetic aperture sonar;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399952
