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Avtomatika i Telemekhanika, 2020, Issue 7, Pages 3–13
DOI: https://doi.org/10.31857/S0005231020070016 (Mi at15357) 		 
Nonlinear Systems

A group-theoretic approach to the reducibility problem of optimal processes

K. G. Garaev

Kazan National Research Technical University (KAI), Kazan, Russia
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DOI: https://doi.org/10.31857/S0005231020070016
Abstract: The reducibility problem of optimal processes is posed, and a group-theoretic approach to its solution is proposed. This approach is based on the Lie–Ovsiannikov infinitesimal apparatus [1].
Keywords: optimal control, Bellman equation, theory of Lie groups, reducibility of optimal processes.
Presented by the member of Editorial Board: A. G. Kushner

Received: 16.10.2019
Revised: 24.01.2020
Accepted: 30.01.2020
English version:
Automation and Remote Control, 2020, Volume 81, Issue 7, Pages 1167–1175
DOI: https://doi.org/10.1134/S0005117920070012
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: K. G. Garaev, “A group-theoretic approach to the reducibility problem of optimal processes”, Avtomat. i Telemekh., 2020, no. 7, 3–13; Autom. Remote Control, 81:7 (2020), 1167–1175
Citation in format AMSBIB
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