Nonlinear Systems

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

K. G. Garaev

Kazan National Research Technical University (KAI), Kazan, Russia

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

DOI: 10.31857/S0005231020070016

 English version: Automation and Remote Control, 2020, 81:7, 1167–1175

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