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Optimal control of Cauchy problem for first-order discrete and partial differential inclusions

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Abstract

Optimization of Cauchy problem for discrete inclusions is reduced to problem with geometric constraints in Hilbert space ℓ2 and necessary and sufficient condition for optimality is derived. Both for convex and non-convex partial differential inclusions the Cauchy type optimization is stated and on the basis of apparatus of locally conjugate mappings sufficient conditions are formulated. The obtained results are generalized to the multidimensional case.

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Authors and Affiliations

  1. Institute of Cybernetics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan

    E. N. Mahmudov

  2. Istanbul Technical University, Istanbul, Turkey

    E. N. Mahmudov

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  1. E. N. Mahmudov
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Mahmudov, E.N. Optimal control of Cauchy problem for first-order discrete and partial differential inclusions. J Dyn Control Syst 15, 587–610 (2009). https://doi.org/10.1007/s10883-009-9073-0

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  • DOI: https://doi.org/10.1007/s10883-009-9073-0

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