Free time optimization of higher order differential inclusions with endpoint constraints

Mahmudov E. N.

APPLICABLE ANALYSIS, cilt.97, ss.2071-2084, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 97 Konu: 12
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1080/00036811.2017.1350851
  • Sayfa Sayıları: ss.2071-2084


The paper is devoted to the study of optimal control theory with higher order differential inclusions (HODIs) and a varying time interval. Essentially, under a more general setting of problems and endpoint constraints the main goal is to establish sufficient conditions of optimality for HODIs. Thus with the use of Euler-Lagrange and Hamiltonian type of inclusions and transversal conditions on the initial' sets, the sufficient conditions are formulated. Derivation of Euler-Lagrange inclusions and -attainability condition holds.