Abstract
An optimal control problem of the Gourse type with delay is investigated. With a given aim functional, a necessary condition of optimality is formulated and proved in the form of a maximum principle. The proof is based on the reduction of a problem with delay to a problem without delay.
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Communicated by G. Leitmann
The authors thank Prof. G. Leitmann, University of California, Berkeley, for discussions and for his interest in this paper.
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Salukvadze, M.E., Tcutcunava, M.T. An optimal control problem for systems described by partial differential equations of hyperbolic type with delay. J Optim Theory Appl 52, 311–322 (1987). https://doi.org/10.1007/BF00941289
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DOI: https://doi.org/10.1007/BF00941289