Abstract
Linear optimal control problems with multipoint non-separated conditions with a quadratic performance criterion of control are analyzed. An approach with a violation of intermediate conditions is proposed. The original problem is reduced to the classical quadratic programming problem with the dimension determined by the number of intermediate points.
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REFERENCES
A. E. Bryson and Yu-Chi Ho, Applied Optimal Control, Hemisphere, Washington, D.C. (1975).
E. Polak, Computational Methods in Optimization, Acad. Press, New York (1971).
K. R. Aida-zade, “The problem of parametric optimization of a dynamic system,” in: Proc. 1st Sci. Conf. on Inverse Problems of Theoretical and Mathematical Physics [in Russian], Sumgait (2003), pp. 124–135.
Ch. J. Valle-Poussin, “Sur l'equation differentielle lineaire du second ordre determination d'une integrale par deux valeurs assignees. Extension aux equation d'ordre n,” J. Math. Pura et Appl., 9, No.8, 125–144 (1929).
B. N. Pshenichnyi, The Linearization Method [in Russian], Nauka, Moscow (1983).
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Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 153–162, July–August 2005.
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Aida-Zade, K.R. Solving Optimal Control Problems on the Class of Step Functions. Cybern Syst Anal 41, 604–611 (2005). https://doi.org/10.1007/s10559-005-0096-6
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DOI: https://doi.org/10.1007/s10559-005-0096-6