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Embedding of systems. Promatrices. (English. Russian original) Zbl 1073.93515

Autom. Remote Control 61, No. 4, Part 1, 554-567 (2000); translation from Avtom. Telemekh. 2000, No. 4, 20-33 (2000).
Summary: An approach which as a matter of fact opens a new stage in the development of the system theory is proposed. It lies in formal representation of any system-theoretical problem as a special matrix solved using the apparatus of embeddings which is based on the modern general algebra. For two systems such as an arbitrary system, on the one hand, and a system with given or directly analyzable characteristics, on the other hand, embedding allows one to define strictly the necessary and sufficient conditions under which their segregated operators are identical. The present paper opens a cycle of works under the common title “Embedding of systems”.

MSC:

93B25 Algebraic methods
93C05 Linear systems in control theory
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