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Necessary integral optimality conditions for quasi-singular controls in one control problem

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Abstract

An optimal control problem with variable structure described by a system of nonlinear integral Volterra-type equations is considered in the article. A necessary optimality condition is obtained in the form of a linearized maximum condition. A case of degeneracy of the linearized maximum principle is further studied. Integral necessary optimality conditions of quasi-singular controls are proved.

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Authors and Affiliations

  1. Baku State University, ul. Akademika Z. Khalilova 23, Baku, AZ-1148, Azerbaijan

    E. E. Gafarov

  2. Institute of Cybernetics, National Academy of Sciences of Azerbaijan, ul. F. Agaev 9, Baku, Az-1141, Azerbaijan

    E. E. Gafarov

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  1. E. E. Gafarov
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Correspondence to E. E. Gafarov.

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Original Russian Text © E.E. Gafarov, 2008, published in Avtomatika i Vychislitel’naya Tekhnika, 2008, No. 3, pp. 24–32.

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Gafarov, E.E. Necessary integral optimality conditions for quasi-singular controls in one control problem. Aut. Conrol Comp. Sci. 42, 126–132 (2008). https://doi.org/10.3103/S0146411608030036

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  • DOI: https://doi.org/10.3103/S0146411608030036

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