On Locally and Globally Optimal Solutions in Scalar Variational Control Problems

Savin Treanţă
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Savin Treanţă: Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania

Mathematics, 2019, vol. 7, issue 9, 1-8

Abstract: In this paper, optimality conditions are studied for a new class of PDE and PDI-constrained scalar variational control problems governed by path-independent curvilinear integral functionals. More precisely, we formulate and prove a minimal criterion for a local optimal solution of the considered PDE and PDI-constrained variational control problem to be its global optimal solution. The effectiveness of the main result is validated by a two-dimensional non-convex scalar variational control problem.

Keywords: local optimal solution; global optimal solution; minimal criterion; control; PDE and PDI-constrained scalar variational control problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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