Abstract
An optimal control problem for the system of linear (with respect to phase variables) loaded ordinary differential equations with initial (local) and nonseparated multipoint (nonlocal) conditions is investigated. Necessary optimality conditions are obtained, numerical schemes of their solution are proposed, and results of numerical experiments are presented.
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References
A. M. Nakhushev, Equations of Mathematical Biology (Vysshaya Shkola, Moscow, 1995) [in Russian].
Yu. G. Evtushenko, Methods for Solving Extremal Problems and Their Application in Optimization Systems (Nauka, Moscow, 1982) [in Russian].
V. M. Abdullaev and K. R. Aida-Zade, “On the Numerical Solution of Loaded Systems of Ordinary Differential Equations,” Zh. Vychisl. Mat. Mat. Fiz. 44, 1585–1595 (2004) [Comput. Math. Math. Phys. 44, 1505–1515 (2004)].
A. A. Abramov, “A Variant of the Transfer Method,” Zh. Vychisl. Mat. Mat. Fiz. 1, 349–351 (1961).
R. Gabasov and F. M. Kirillova, The Maximum Principle in Optimal Control Theory (Nauka i Tekhnika, Minsk, 1974) [in Russian].
K. R. Aida-Zade, “On the Solution of Optimal Control Problems with Intermediate Conditions,” Zh. Vychisl. Mat. Mat. Fiz. 45 1033–1043 (2005) [Comput. Math. Math. Phys. 45, 995–1005 (2005)].
K. R. Aida-zade, “A Numerical Method for the Reconstruction of Parameters of a Dynamical System,” Kibern. Sistemn. Anal., No. 1, 101–108 (2004).
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Original Russian Text © V.M. Abdullaev, K.R. Aida-Zade, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 9, pp. 1566–1581.
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Abdullaev, V.M., Aida-Zade, K.R. Numerical solution of optimal control problems for loaded lumped parameter systems. Comput. Math. and Math. Phys. 46, 1487–1502 (2006). https://doi.org/10.1134/S096554250609003X
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DOI: https://doi.org/10.1134/S096554250609003X