Transformability from discrete-time periodic non-homogeneous systems to time-invariant ones

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.

• Type: Conference
• Year: 2009
• Where: CDC
• Authors: Yoshikazu Hayakawa, Tomohiko Jimbo
• Keywords: CDC 2009, Control Systems, Discrete-time Floquet Transformation, Regular Linear Mappings, State Variables