Behavioral framework for periodically time-varying systems

Abstract

We set out to develop a framework for the analysis and synthesis of discrete-time periodically time-varying systems. Adopting a behavioral approach, we define the concept of periodicity in terms of the trajectories of the system. We subsequently use this framework to investigate several basic notions, such as controllability, on the level of trajectories and also present several techniques for associating time-invariant systems in a behavioral way.