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Sufficient conditions for optimality in problems with state constraints

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Abstract

In this paper the sufficient conditions for optimality are obtained for problems with state constraints. These constraints may be active. It means that the adjoint function may have points of discontinuity or jumps. Similar results in the case of absolutely continuous adjoint function were given by the author in [1] and [2].

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References

  1. V. I. Blagodatskikh, On the theory of sufficient conditions for optimality,Dokl. Akad. Nauk SSSR 231 (1976), No. 5=Soviet Dokl. 17:6, 1680–1683 (1976).

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  2. V. I. Blagodatskikh, On the theory of sufficient conditions for optimality,Trudy Mat. Inst. AN SSSR 142 (1977).

  3. L. S. Pontryagin et al.,The Mathematical Theory of Optimal Processes, Fizmatgiz, Moscow, 1961; English transl., Wiley, New York, 1962; Macmillan, New York, 1964.

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  4. I. P. Natanson,Theory of Functions of a Real Variable, F. Ungar, 1960.

  5. T. R. Rockafellar,Convex Analysis, Princeton University Press, 1970.

  6. V. I. Blagodatskikh, Sufficient conditions of optimality for differential inclusions,Izv. Akad. Nauk SSSR, ser. Mat., 38 (1974), 615=Math. USSR, Izv. 8, 621, (1974).

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Authors and Affiliations

  1. Institut Mathematique Steklov, 42, rue Vavilov, 117966, GSP-1, Moscow, USSR

    V. I. Blagodatskikh

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  1. V. I. Blagodatskikh
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Communicated by L. S. Pontryagin

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Blagodatskikh, V.I. Sufficient conditions for optimality in problems with state constraints. Appl Math Optim 7, 149–157 (1981). https://doi.org/10.1007/BF01442113

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  • DOI: https://doi.org/10.1007/BF01442113

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