Abstract
The determination of the initial function and the parameters in a system of delay-differential equations minimizing a cost functional is considered. The existence of a solution to the problem is discussed. A set of necessary optimality conditions is derived, and a computational method is presented to obtain a locally minimal solution.
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Communicated by G. Leitmann
The authors are indebted to the referee for suggesting a shorter proof of Theorem 2.1 and for pointing out some minor defects of the first draft of the paper.
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Das, P.C., Patel, N.K. & Prabhu, S.S. Determination of the optimal initial function and the parameters in a system described by delay-differential equations. J Optim Theory Appl 40, 583–593 (1983). https://doi.org/10.1007/BF00933972
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DOI: https://doi.org/10.1007/BF00933972