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

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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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Acknowledgements

The author would like to thank the associate editor and reviewers for their remarks and suggestions which improved the presentation of this paper.

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  1. Department of Applied Mathematics, University Politehnica of Bucharest, Bucharest, Romania

    Savin Treanţă

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  1. Savin Treanţă
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Correspondence to Savin Treanţă.

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Communicated by Francesco Zirilli.

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Treanţă, S. On a Class of Constrained Interval-Valued Optimization Problems Governed by Mechanical Work Cost Functionals. J Optim Theory Appl 188, 913–924 (2021). https://doi.org/10.1007/s10957-021-01815-0

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  • DOI: https://doi.org/10.1007/s10957-021-01815-0

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