V. R. Barseghyan, “Optimal control of string vibrations with nonseparate state function conditions at given intermediate instants”, Avtomat. i Telemekh., 2020, Issue 2,Pages <nobr>36

This article is cited in 17 papers

Nonlinear Systems

Optimal control of string vibrations with nonseparate state function conditions at given intermediate instants

V. R. Barseghyan^ab

^a Yerevan State University, Yerevan, Armenia
^b Institute of Mechanics, National Academy of Sciences of Armenia, Yerevan, Armenia

Abstract: An optimal control problem for the string vibration equation with given initial and terminal conditions, nonseparated states at intermediate instants and a performance criterion defined on the entire time interval is considered. This problem is solved using the methods of separation of variables and the theory of optimal control of finite-dimensional systems with nonseparated multipoint intermediate conditions. As an illustrative example of the approach proposed in the paper, an optimal control of string vibrations with given nonlocal deflection values of the string at some intermediate instants is constructed.

Keywords: string vibrations, optimal vibration control, intermediate states, nonseparated multipoint conditions, optimal control.

Presented by the member of Editorial Board: A. L. Fradkov

Received: 30.01.2019
Revised: 16.04.2019
Accepted: 18.07.2019

DOI: 10.31857/S0005231020020038