Open AccessOptimization of a linear dynamic system with periodic changing parameters
Author(s) -
В. В. Крахотко,
Г. П. Размыслович,
V. V. Goryachkin
Publication year - 2020
Publication title -
žurnal belorusskogo gosudarstvennogo universiteta. matematika, informatika/žurnal belorusskogo gosudarstvennogo universiteta. matematika, informatika
Language(s) - English
Resource type - Journals
eISSN - 2617-3956
pISSN - 2520-6508
DOI - 10.33581/2520-6508-2020-1-75-79
Subject(s) - constructive , construct (python library) , mathematics , mathematical optimization , period (music) , computer science , calculus (dental) , process (computing) , physics , acoustics , programming language , operating system , medicine , dentistry
The article deals with the problem of optimal control of a linear dynamic system with periodic parameters. The qualitative theory of such problems is developed very fully if the period of coefficients of the system is not very small. With a small period, there are serious difficulties with integration. Therefore, it is reasonable to supplement the constructive methods of solution with asymptotic ones. The article presents such an approach that the method of averaging is used to construct an auxiliary (basic) problem, estimates of the proximity of solutions to the initial and basic problems are obtained.