This article is cited in 19 papers

Optimization of loading places and load response functions for stationary systems

V. M. Abdullayev^ab, K. R. Aida-zade<sup>cd

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

Abstract: The problem of optimizing loading places and corresponding load response functions with respect to objects described by systems of loaded ordinary differential equations is solved numerically. Analytical formulas for the gradient of the functional with respect to the optimized load parameters are derived to solve the problem by applying first-order numerical methods. Results of numerical experiments are presented. The approach proposed can also be used to optimize load parameters in distributed systems described by partial differential equations, which are reduced to the considered problem by applying the method of lines.

Key words: loaded ordinary differential equation, optimization of loading places, response to load, optimal control, nonlocal conditions, integral conditions, inverse problem.

UDC: 519.626

Received: 19.02.2016

DOI: 10.7868/S0044466917040020

 English version: Computational Mathematics and Mathematical Physics, 2017, 57:4, 634–644

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