On Locally and Globally Optimal Solutions in Scalar Variational Control Problems

On Locally and Globally Optimal Solutions in Scalar Variational Control Problems

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...

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Main Author: Savin Treanţă
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Mathematics
Subjects:
local optimal solution
global optimal solution
minimal criterion
control
PDE and PDI-constrained scalar variational control problem
Online Access:https://www.mdpi.com/2227-7390/7/9/829
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spelling doaj-b601cee01b454da890a7d8689a4d69a62020-11-25T02:45:29ZengMDPI AGMathematics2227-73902019-09-017982910.3390/math7090829math7090829On Locally and Globally Optimal Solutions in Scalar Variational Control ProblemsSavin Treanţă0Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, RomaniaIn 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.https://www.mdpi.com/2227-7390/7/9/829local optimal solutionglobal optimal solutionminimal criterioncontrolPDE and PDI-constrained scalar variational control problem
collection DOAJ
language English
format Article
sources DOAJ
author Savin Treanţă
spellingShingle Savin Treanţă
On Locally and Globally Optimal Solutions in Scalar Variational Control Problems
Mathematics
local optimal solution
global optimal solution
minimal criterion
control
PDE and PDI-constrained scalar variational control problem
author_facet Savin Treanţă
author_sort Savin Treanţă
title On Locally and Globally Optimal Solutions in Scalar Variational Control Problems
title_short On Locally and Globally Optimal Solutions in Scalar Variational Control Problems
title_full On Locally and Globally Optimal Solutions in Scalar Variational Control Problems
title_fullStr On Locally and Globally Optimal Solutions in Scalar Variational Control Problems
title_full_unstemmed On Locally and Globally Optimal Solutions in Scalar Variational Control Problems
title_sort on locally and globally optimal solutions in scalar variational control problems
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2019-09-01
description 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.
topic local optimal solution
global optimal solution
minimal criterion
control
PDE and PDI-constrained scalar variational control problem
url https://www.mdpi.com/2227-7390/7/9/829
work_keys_str_mv AT savintreanta onlocallyandgloballyoptimalsolutionsinscalarvariationalcontrolproblems
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