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

DEMİR SAĞLAM S., MAHMUDOV E. N.

TURKISH JOURNAL OF MATHEMATICS, vol.45, no.1, pp.244-263, 2021 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.3906/mat-2005-50
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.244-263
  • Istanbul Technical University Affiliated: Yes

Abstract

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.