Infimal convolution and duality in convex optimal control problems with second order evolution differential inclusions

Elimhan N. Mahmudov*

*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: ???type-name???Makalebilirkişi

7 Atıf (Scopus)

Özet

The paper deals with the optimal control problem described by second order evolution differential inclusions; to this end first we use an aux-iliary problem with second order discrete and discrete-approximate inclusions. Then applying infimal convolution concept of convex functions, step by step we construct the dual problems for discrete, discrete-approximate and differential inclusions and prove duality results. It seems that the Euler-Lagrange type inclusions are “duality relations” for both primary and dual problems and that the dual problem for discrete-approximate problem make a bridge between them. At the end of the paper duality in problems with second order linear discrete and continuous models and model of control problem with polyhedral DFIs are considered.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)37-59
Sayfa sayısı23
DergiEvolution Equations and Control Theory
Hacim10
Basın numarası1
DOI'lar
Yayın durumuYayınlandı - Mar 2021

Bibliyografik not

Publisher Copyright:
© 2021, American Institute of Mathematical Sciences. All rights reserved.

Parmak izi

Infimal convolution and duality in convex optimal control problems with second order evolution differential inclusions' araştırma başlıklarına git. Birlikte benzersiz bir parmak izi oluştururlar.

Alıntı Yap