Second-order viability problems for differential inclusions with endpoint constraint and duality

Mahmudov E.

APPLICABLE ANALYSIS, cilt.101, sa.3, ss.1130-1146, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 101 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1080/00036811.2020.1773444
  • Dergi Adı: APPLICABLE ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1130-1146
  • Anahtar Kelimeler: 34A60, 49M25, 49N15, 90C46, duality, endpoint constraint, Euler–Lagrange, Infimal convolution, viability
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

The paper deals with the optimal control of second-order viability problems for differential inclusions with endpoint constraint and duality. Based on the concept of infimal convolution and new approach to convex duality functions, we construct dual problems for discrete and differential inclusions and prove the duality results. It seems that the Euler-Lagrange type inclusions are 'duality relations' for both primary and dual problems. Finally, some special cases show the applicability of the general approach; duality in the control problem with second-order polyhedral DFIs and endpoint constraints defined by a polyhedral cone is considered.