Robust, Adaptive and Network Control

Optimization of source locations and parameters for network structure objects

K. R. Aida-zade^ab, Ye. R. Ashrafova<sup>ca

a</sup> Institute of Control Systems, Azerbaijan National Academy of Sciences, Baku, AZ1141 Azerbaijan
^b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, AZ1141 Azerbaijan
^c Baku State University, Baku, AZ1148 Azerbaijan

Abstract: We study the problem of optimization of the locations and parameter values of lumped sources that affect the operation of a complex object. The object consists of many one-dimensional objects, the state of each of which is described by a system of ordinary differential equations with nonseparated boundary conditions. The necessary optimality conditions for the source parameters and for the source concentration places obtained. A model problem is used as an example for which the results of numerical experiments are presented.

Keywords: source, source placement, nonlocal condition, optimality condition, gradient of a functional.

Presented by the member of Editorial Board: B. M. Miller

Received: 07.06.2020
Revised: 13.02.2021
Accepted: 16.03.2021

DOI: 10.31857/S0005231021070060

 English version: Automation and Remote Control, 2021, 82:7, 1201–1221

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