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

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  • Savin Treanţă

    (University Politehnica of Bucharest)

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.

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  • Savin Treanţă, 2021. "On a Class of Constrained Interval-Valued Optimization Problems Governed by Mechanical Work Cost Functionals," Journal of Optimization Theory and Applications, Springer, vol. 188(3), pages 913-924, March.
    • Handle: RePEc:spr:joptap:v:188:y:2021:i:3:d:10.1007_s10957-021-01815-0
    DOI: 10.1007/s10957-021-01815-0
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    References listed on IDEAS

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    1. Zang, I. & Choo, E.U. & Avriel, M., 1977. "On functions whose stationary points are global minima," LIDAM Reprints CORE 308, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Пигнастый, Олег & Koжевников, Георгий, 2019. "Распределенная Динамическая Pde-Модель Программного Управления Загрузкой Технологического Оборудования Производственной Линии [Distributed dynamic PDE-model of a program control by utilization of t," MPRA Paper 93278, University Library of Munich, Germany, revised 02 Feb 2019.
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    Cited by:

    1. Haojie Lv & Guixiang Wang, 2022. "Approximations of Fuzzy Numbers by Using r - s Piecewise Linear Fuzzy Numbers Based on Weighted Metric," Mathematics, MDPI, vol. 10(1), pages 1-17, January.
    2. Guo, Yating & Ye, Guoju & Liu, Wei & Zhao, Dafang & Treanţă, Savin, 2022. "On symmetric gH-derivative: Applications to dual interval-valued optimization problems," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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