Model reduction of heterogeneous distributed systems

Abstract

This paper presents a new approach for model reduction of distributed state space systems. It is applicable to spatio-temporal systems that evolve in discrete time over a finite interval; the spatial structure of these systems is also inherently discrete. The main contribution of this paper is that it allows the underlying system dynamics to be shift variant with respect to spatial or temporal variables. The simplification technique presented in this paper relies on control synthesis results developed for heterogeneous systems. It is stated in terms of inequalities on finite dimensional space which can be immediately converted to linear matrix inequalities (LMIs), making the reduction problem readily amenable to computation.