Optimization of the Hyperbolic Type Differential Inclusions Described by Polyhedral Set Valued Mappings

Çiçek G., Mahmudov E. N.

2023 5th International Conference on Problems of Cybernetics and Informatics (PCI), Baku, Azerbaycan, 28 - 30 Ağustos 2023, ss.1-4 identifier

  • Yayın Türü: Bildiri / Özet Bildiri
  • Doi Numarası: 10.1109/pci60110.2023.10326021.
  • Basıldığı Şehir: Baku
  • Basıldığı Ülke: Azerbaycan
  • Sayfa Sayıları: ss.1-4
  • İstanbul Üniversitesi Adresli: Evet

Özet

In this paper, sufficient conditions for the optimal

problem regarding polyhedral hyperbolic differentials are

obtained. Necessary and sufficient conditions for the polyhedral

hyperbolic discrete problem are derived using the polyhedral

nature of the problem. By the discretization method of

hyperbolic DFIs, the optimality conditions for the polyhedral

discrete approximate problem are formulated in the form of the

Mahmudov adjoint inclusions. We establish sufficient

optimality conditions for the polyhedral DFIs of hyperbolic

type. To the best of our knowledge, these results are new in the

literature and use the discretization method when creating the

optimality conditions for polyhedral hyperbolic DFIs. This

method differs from formerly used methods because of its

polyhedral structure.