System theoretic properties of a class of spatially invariant systems

Authors:
Ruth Curtain;Orest V. Iftime;Hans Zwart
Affiliations:
University of Groningen, Department of Mathematics, P.O. Box 800, 9700 AV, Groningen, The Netherlands;University of Groningen, Department of Economics and Econometrics, Nettelbosje 2, 9747 AE, Groningen, The Netherlands;University of Twente, Department of Applied Mathematics, P.O. Box 217, 7500 AE, Enschede, The Netherlands
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

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.