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Proximal normal analysis approach to optimal control problems in infinite-dimensional spaces

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Abstract

In this paper, we extend the Pontryagin maximum principle and the transversality conditions to a class of optimal control problems for an evolution system of parabolic type through the analysis of proximal normals to the epigraph of suitable value functions. The paper extends previous results of the same authors to nonconvex target situations.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Bari, Bari, Italy

    N. Basile (Professor)

  2. Istituto di Matematica Finanziaria, Università di Bari, Bari, Italy

    M. Mininni (Professor)

Authors
  1. N. Basile
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  2. M. Mininni
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Additional information

Communicated by R. Glowinski

This work was supported by MURST of Italy, Fondi 40%, Equazioni di Evoluzione ed Applicazioni Fisico-Matematiche, and Fondi 60%, University of Bari and University of Calabria.

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Basile, N., Mininni, M. Proximal normal analysis approach to optimal control problems in infinite-dimensional spaces. J Optim Theory Appl 73, 121–147 (1992). https://doi.org/10.1007/BF00940082

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  • DOI: https://doi.org/10.1007/BF00940082

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