Polyhedral optimization of second-order discrete and differential inclusions with delay


SAĞLAM S. , Mahmudov E.

TURKISH JOURNAL OF MATHEMATICS, cilt.45, sa.1, ss.244-263, 2021 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Konu: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3906/mat-2005-50
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.244-263

Özet

The present paper studies the optimal control theory of second-order polyhedral delay discrete and delay differential inclusions with state constraints. We formulate the conditions of optimality for the problems with the second order polyhedral delay discrete (PDd) and the delay differential (PCd) in terms of the Euler-Lagrange inclusions and the distinctive "transversality" conditions. Moreover, some linear control problem with second-order delay differential inclusions is given to illustrate the effectiveness and usefulness of the main theoretic results.