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

Authors:
E. N. Mahmudov
Affiliations:
Institute of Cybernetics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan and Istanbul Technical University, Istanbul, Turkey
Venue:
Journal of Dynamical and Control Systems
Year:
2009

Citing 4
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Abstract

Optimization of Cauchy problem for discrete inclusions is reduced to problem with geometric constraints in Hilbert space 驴2 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.