Necessary and sufficient conditions for the second order discrete and differential inclusions with viable constraints
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
Necessary and sufficient conditions ensuring the existence of a solution to the viability problems for differential inclusions of second order have been studied in recent years. However optimization problems of second-order differential inclusions with viable constraints considered in this paper have not been examined yet. In the present paper we derive the optimality conditions for the Mayer problem discrete and differential inclusions with viable constraints. Applying necessary and sufficient conditions to problems with geometric constraints, optimality conditions for second order discrete inclusions are formulated. Using Locally Adjoint Mapping we conceive necessary and sufficient conditions for the optimality of the discrete approximation problem. Passing to the limit, sufficient conditions to the optimal problem are established.
Açıklama
Anahtar Kelimeler
Convex sets, Control theory, Calculus of variations, Discrete and differential inclusions, Euler-lagrange inclusions
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Çiçek, G. (2019). Necessary and Sufficient Conditions for the Second Order Discrete and Differential Inclusions with Viable Constraints. International Conference of Mathematical Sciences. s. 030011(1)-030011(4).