Optimal control of Cauchy problem for first-order discrete and partial differential inclusions

Mahmudov E. N.

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, cilt.15, sa.4, ss.587-610, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 4
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1007/s10883-009-9073-0
  • Dergi Adı: JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.587-610
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

Optimization of Cauchy problem for discrete inclusions is reduced to problem with geometric constraints in Hilbert space a""(2) and necessary and sufficient condition for optimality is derived. Both for convex and non-convex partial differential inclusions the Cauchy type optimization is stated and on the basis of apparatus of locally conjugate mappings sufficient conditions are formulated. The obtained results are generalized to the multidimensional case.