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Embedding of systems. (English. Russian original) Zbl 1066.93002

Autom. Remote Control 60, No. 8, Part 1, 1106-1116 (1999); translation from Avtom. Telemekh. 1999, No. 8, 61-73 (1999).
The algebraic singularities of the operators of plants are discussed, in terms of zero divisors and noncommutative left and right factorizations. A classification of plants in simply connected and multivariable ones is derived. In this framework, problems like uniqueness in system theory, identification of decompositions and classes of equivalence are examined, as well as the embedding of multivariable systems in simple ones and the integration of systems.

MSC:

93A10 General systems
93B11 System structure simplification
93B25 Algebraic methods
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