I. V. Rasina, A. O. Blinov, “Approximate synthesis of optimal control in the vicinity of the relative minimum for discrete-continuous systems”, Program Systems: Theory and Applications, 2022, Volume 13, Issue 4,Pages <nobr>139

Optimization Methods and Control Theory

Approximate synthesis of optimal control in the vicinity of the relative minimum for discrete-continuous systems

I. V. Rasina^ab, A. O. Blinov^c

^a Federal Research Center "Computer Science and Control" of RAS, Moscow, Russia
^b Ailamazyan Program Systems Institute of RAS, Ves'kovo, Russia
^c Russian State Social University, Moscow, Russia

Abstract: A way of constructing a method of approximate synthesis of optimal control for discrete-continuous systems (DNS) based on sufficient conditions for a relative minimum is considered. The construction is carried out in the vicinity of the previously found relative minimum. An estimate of the accuracy of such a construction is given and an illustrative example is given.

Key words and phrases: discrete-continuous systems, sufficient optimality conditions, approximate optimal control synthesis, relative minimum.

UDC: 517.977
BBK: 22.182:22.185.42

MSC: Primary 49M30; Secondary 49N10

Received: 14.10.2022
Accepted: 10.11.2022

DOI: 10.25209/2079-3316-2022-13-4-139-162