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Necessary and sufficient conditions for strong stability of distributed parameter systems
Authors:Ruth F. Curtain  Job C. Oostveen
Affiliation:Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands
Abstract:In this paper we propose definitions for strong stabilizability and strong detectability of infinite-dimensional control systems. We show that these definitions are appropriate by showing that they can be used to give necessary and sufficient conditions for the strong stability of a system in terms of its input-output stability. As an application, we discuss the strong stability of the feedback interconnection of two strongly stabilizable and strongly detectable systems.
Keywords:Strong stability   Distributed parameter systems
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