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The sequential differentiation and its applications in the optimal control problems

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Abstract

Using the sequential approach, we define a certain generalization of the operator derivative. We establish the necessary extremum condition in terms of the sequential derivative. As examples we consider the optimal control problems for systems governed by partial nonlinear differential equations of several kinds.

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Authors and Affiliations

  1. Kazakh National University, ul. Masanchi 39/47, Almaty, 050012, Republic of Kazakhstan

    S. Ya. Serovaiskii

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  1. S. Ya. Serovaiskii
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Correspondence to S. Ya. Serovaiskii.

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Original Russian Text © S.Ya. Serovaiskii, 2008, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, No. 7, pp. 45–56.

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Serovaiskii, S.Y. The sequential differentiation and its applications in the optimal control problems. Russ Math. 52, 38–47 (2008). https://doi.org/10.3103/S1066369X08070062

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  • DOI: https://doi.org/10.3103/S1066369X08070062

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