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

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.

UDC: 519.626

Received: 12.07.2017

DOI: 10.7868/S0044466918020011

 English version: Computational Mathematics and Mathematical Physics, 2018, 58:2, 155–158

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