On constant-level set constrained robust multi-dimensional controlled models

Savin Treanţǎ; Cristina-Florentina Pîrje; Savin Treanţǎ; Cristina-Florentina Pîrje

doi:10.3934/math.2026443

AIMS Mathematics

2026, Volume 11, Issue 4: 10796-10810. doi: 10.3934/math.2026443

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Research article

On constant-level set constrained robust multi-dimensional controlled models

Savin Treanţǎ ^{1,2,3
,
,},
Cristina-Florentina Pîrje ¹

1.
Department of Applied Mathematics, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania
2.
Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania
3.
Fundamental Sciences Applied in Engineering-Research Center, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania

Received: 28 December 2025 Revised: 12 March 2026 Accepted: 17 March 2026 Published: 20 April 2026
MSC : 26B25, 49K21, 90C17

This paper investigated a new family of robust multidimensional controlled models with constant-level set constraints. More precisely, we considered the extremization of a functional, given by a controlled multiple integral involving an uncertain parameter, subject to a finite set of constraints determined by path-independent curvilinear integral functionals. Necessary and sufficient optimality criteria were established for a robust feasible point. In addition, a saddle-point-type characterization of robust optimal points was studied in the second part of the paper.
- constant-level set constraints,
- robust optimal point,
- robust optimality criteria,
- convex functional,
- pseudoconvex functional
Citation: Savin Treanţǎ, Cristina-Florentina Pîrje. On constant-level set constrained robust multi-dimensional controlled models[J]. AIMS Mathematics, 2026, 11(4): 10796-10810. doi: 10.3934/math.2026443

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Abstract

This paper investigated a new family of robust multidimensional controlled models with constant-level set constraints. More precisely, we considered the extremization of a functional, given by a controlled multiple integral involving an uncertain parameter, subject to a finite set of constraints determined by path-independent curvilinear integral functionals. Necessary and sufficient optimality criteria were established for a robust feasible point. In addition, a saddle-point-type characterization of robust optimal points was studied in the second part of the paper.

References

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