Paper read at the Symposium on Categorical Algebra and Topology University of Cape Town 29 June—3 July 1981

GENERALIZED RANK CONDITIONS FOR SYSTEMS IN A CATEGORY

Published in: Quaestiones Mathematicae
Volume 6 , issue 1-3 , 1983 , pages: 211–226

DOI: 10.1080/16073606.1983.9632301

Author(s): Cornelia Nolte ,

Keywords: 18B20 , 93B15 , 93A99

Abstract

A generalized rank condition is used to deduce necessary and sufficient conditions for the reachability and observability of a system in a category. A duality principle between reachability and observability is established. These results generalize those known previously for bilinear and linear systems over rings.

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