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

POLYNOMIAL SYSTEMS AS ADJOINT PROCESS MACHINES

Published in: Quaestiones Mathematicae
Volume 6 , issue 1-3 , 1983 , pages: 199–210

DOI: 10.1080/16073606.1983.9632300

Author(s): Gert Naudé ,

Keywords: 18B20 , 93B15 , 93A99.

Abstract

By defining a suitable adjoint process in the category of k-spaces, it is shown that systems that can be described by polynomial equations can be studied via the Arbib-Manes model of machines in a category. Basic results regarding reachability, observability and realization are derived from the general theory.

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