On dual problems of second order for (η, ξ)-bonvex interval-valued control problems

• Autorzy: Pîrje Cristina-Florentina , Treanţă Savin , Guo Yating , Upadhyay Balendu Bhooshan , Shi Fangfang

Identyfikatory

DOI

10.2478/candc-2025-0001

• Języki publikacji: EN

Abstrakty

EN

The paper studies the dual problems of second order, associated with a new class of (η, ξ)-bonvex interval-valued variational control problems. More precisely, by considering the corresponding necessary optimality conditions, we prove the associated duality (weak, strong, strictly converse) results under the new (η, ξ)- bonvexity assumptions of the involved functionals. In addition, illustrative examples are provided in order to highlight the theoretical elements established in the paper.

Słowa kluczowe

EN

control; interval-valued optimization problem; dual problem

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2025
• Tom: Vol. 54, No. 1
• Strony: 5--25
• Opis fizyczny: Bibliogr. 23 poz., rys.

Twórcy

autor

Pîrje Cristina-Florentina

• Department of Applied Mathematics, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania

autor

Treanţă Savin

• Department of Applied Mathematics, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania
• Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania
• Fundamental Sciences Applied in Engineering - Research Center (SFAI), National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania

autor

Guo Yating

• College of Science, Hohai University, Nanjing 210098, China

autor

Upadhyay Balendu Bhooshan

• Department of Mathematics, Indian Institute of Technology Patna, Patna, India

autor

Shi Fangfang

• College of Science, Hohai University, Nanjing 210098, China

Bibliografia

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