This article is cited in 1 scientific paper (total in 1 paper)
Optimization of loading places and load response functions for stationary systems
V. M. Abdullayevab, K. R. Aida-zadecd
a 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
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.
loaded ordinary differential equation, optimization of loading places, response to load, optimal control, nonlocal conditions, integral conditions, inverse problem.
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Computational Mathematics and Mathematical Physics, 2017, 57:4, 634–644
V. M. Abdullayev, K. R. Aida-zade, “Optimization of loading places and load response functions for stationary systems”, Zh. Vychisl. Mat. Mat. Fiz., 57:4 (2017), 633–644; Comput. Math. Math. Phys., 57:4 (2017), 634–644
Citation in format AMSBIB
\by V.~M.~Abdullayev, K.~R.~Aida-zade
\paper Optimization of loading places and load response functions for stationary systems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
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