On a Class of Constrained Interval-Valued Optimization Problems Governed by Mechanical Work Cost Functionals

Savin Treanţă ()
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Savin Treanţă: University Politehnica of Bucharest

Journal of Optimization Theory and Applications, 2021, vol. 188, issue 3, No 14, 913-924

Abstract: Abstract In this paper, optimality conditions are studied for a class of constrained interval-valued optimization problems governed by path-independent curvilinear integral (mechanical work) cost functionals. Specifically, a minimal criterion of optimality for a local LU-optimal solution of the considered PDE&PDI-constrained variational control problem to be its global LU-optimal solution is formulated and proved. In addition, the main result is highlighted by an illustrative application describing the controlled behavior of an artificial neural system.

Keywords: Local LU-optimal solution; Global LU-optimal solution; Minimal criterion of optimality; Mechanical work; Constrained interval-valued optimization problem; 70H45; 70G75; 49Jxx; 70Q05; 90C30; 49K20; 70H06 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-021-01815-0

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