Automatica, Vol.45, No.7, 1619-1627, 2009
System theoretic properties of a class of spatially invariant systems
In this paper we develop new readily testable criteria for system theoretic properties such as stability, controllability, observability, stabilizability and detectability for a class of spatially invariant systems. Our approach uses the well-established theory developed to solve infinite-dimensional systems. The theoretical results are illustrated by several examples. (C) 2009 Elsevier Ltd. All rights reserved.
Keywords:Linear systems;Infinite-dimensional systems;Spatially invariant;Platoons;Spatially distributed systems