Fuzzy optimal control with application to discounted profit advertising problem

Baten M. A., KAMIL A. A.

Journal of Intelligent and Fuzzy Systems, cilt.23, sa.5, ss.187-192, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 5
  • Basım Tarihi: 2012
  • Doi Numarası: 10.3233/ifs-2012-0508
  • Dergi Adı: Journal of Intelligent and Fuzzy Systems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.187-192
  • Anahtar Kelimeler: dynamic programming principle, Fuzzy, optimal control, optimality equation, profit advertising model
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

A fuzzy optimal control model was formulated maximizing the expected discounted objective function subject to fuzzy differential equation for fuzzy control system. We proved that the value function of fuzzy optimal control problem satisfied the dynamic programming principle. The optimality equation in fuzzy optimal control was derived and an example was carried out to obtain the optimality conditions by using the optimality equation. As an application, we used the Bellman's principle of optimality to solve the fuzzy advertising model. © 2012-IOS Press and the authors. All rights reserved.