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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 2, Pages 165–168
DOI: https://doi.org/10.7868/S0044466918020011 (Mi zvmmf10669) 		 
Geometric theory of reduction of nonlinear control systems

V. I. Elkin

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.7868/S0044466918020011
Abstract: The foundations of a differential geometric theory of nonlinear control systems are described on the basis of categorical concepts (isomorphism, factorization, restrictions) by analogy with classical mathematical theories (of linear spaces, groups, etc.).
Key words: morphisms, isomorphisms, classification, canonical forms, factorization, factor systems, aggregated systems, restriction, subsystems.
Received: 12.07.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 2, Pages 155–158
DOI: https://doi.org/10.1134/S0965542518020045
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: V. I. Elkin, “Geometric theory of reduction of nonlinear control systems”, Zh. Vychisl. Mat. Mat. Fiz., 58:2 (2018), 165–168; Comput. Math. Math. Phys., 58:2 (2018), 155–158
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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