Robust controlled vector variational inequalities for multi-dimensional fractional control optimization problems

• Autorzy: Jayswal Anurag , Baranwal Ayushi , Arana-Jiménez Manuel

Identyfikatory

DOI

10.24425/acs.2024.149664

• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to study robust efficiency in terms of variational inequality for a class of multi-dimensional multi-objective first-order PDE-constrained fractional control optimization problems with data uncertainty (MMFP). We derive a robust controlled vector variational inequality (VI) together with its weak form and discuss equivalence between the solutions of (VI) and (MMFP) via imposing the suitable assumptions. Later on, we study a sufficient condition for the robust weak efficient solution of (MMFP) to be its robust efficient solution under the strict convexity assumption and give some applications to illustrate the established results.

Słowa kluczowe

EN

fractional control optimization problem; convexity; robust efficient solution; uncertainty; variational inequality

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2024
• Tom: Vol. 34, No. 2
• Strony: 349--377
• Opis fizyczny: Bibliogr. 20 poz., rys., wzory

Twórcy

autor

Jayswal Anurag

• Department of Mathematics and Computing, Indian Institute of Technology, (Indian School of Mines), Dhanbad-826004, India

• https://orcid.org/0000-0001-6715-087X

autor

Baranwal Ayushi

• Department of Mathematics and Computing, Indian Institute of Technology, (Indian School of Mines), Dhanbad-826004, India

• https://orcid.org/0000-0001-5154-4241

autor

Arana-Jiménez Manuel

• Department of Statistics and Operational Research, Faculty of SSCC and Communication, University of Cádiz, Cádiz-11003, Spain

• https://orcid.org/0000-0002-0290-6477

Bibliografia

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Uwagi

1. The research of the first author is financially supported by SERB-DST, New Delhi, India, under the project MATRICS (No. MTR/2021/000002).

2. Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025)