LPV Systems and Representations

Abstract

In this chapter, a behavioral framework of LPV systems is introduced as an extension of the LTI behavioral approach. This is done with the intention to give a unified view on LPV system theory, that enables to approach LPV system identification in a well-founded system theoretic sense. First we define LPV dynamical systems from the behavioral point of view. Then we introduce the algebraic structure in which we formulate kernel, state-space, and input-output representations of LPV systems. We also analyze the properties of LPV systems in terms of state-observability, state-reachability, and dynamic stability.