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Dergiler / Istanbul University Journal of Electrical and Electronics Engineering / 2003 / Cilt: 3 - Sayı: 2

Duality in the problems of optimal control described by convex differential inclusions with distributed parameters

E. N. MAHMUDOV
Sayfa
889–898
Yayın Tarihi
2022-10-18
DOI
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Sufficient condition for optimality is derived for the problem under consideration on the basis of the apparatus of locally conjugate mappings,and duality theorems are proved.A sufficient condition for an extremum is an extremal relation for the direct and dual problems.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Sufficient condition for optimality is derived for the problem under consideration on the basis of the apparatus of locally conjugate mappings,and duality theorems are proved.A sufficient condition for an extremum is an extremal relation for the direct and dual problems.
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Temel Bulgular & Veri:Sufficient condition for optimality is derived for the problem under consideration on the basis of the apparatus of locally conjugate mappings,and duality theorems are proved.A sufficient condition for an extremum is an extremal relation for the direct and dual problems.
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Sonuç & Katkı:Sufficient condition for optimality is derived for the problem under consideration on the basis of the apparatus of locally conjugate mappings,and duality theorems are proved.A sufficient condition for an extremum is an extremal relation for the direct and dual problems.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

Sufficient condition for optimality is derived for the problem under consideration on the basis of the apparatus of locally conjugate mappings,and duality theorems are proved.A sufficient condition for an extremum is an extremal relation for the direct and dual problems.

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Bu Makaleye Atıf Yap

MAHMUDOV, E. N. (2022). Duality in the problems of optimal control described by convex differential inclusions with distributed parameters. Istanbul University Journal of Electrical and Electronics Engineering, Cilt: 3 - Sayı: 2, 889–898. https://ajindex.com/articles/543892

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Kaynakça (12)

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  8. E.N. Makhmudov[E.N. Mahmudov],Siberian mathematical journal, “Nauka”,vol 30 (1989),no.2.pp122-137
  9. Lee,Richard C.H.,Yung S.pP.,Optimality conditions and duality for a non-linear time delay control problem,Optimal control Appl. Methods 18 (1997) no.5,pp.327-340
  10. Aseev S.M.,The method of smooth approximations in the theory of necessary conditions of optimality for differential inclusions.Izv. Ross. Akad. Nauk. Ser. Mat. 61(1997),no.2,3-26,English transl. In Izv. Math 61(1997), no.2, pp235-258
  11. Loewen P.D., Rockafellar R.T.,Bolza problems with general time constraints, SIAM J. Control Optim. 35(1997),no.6,pp.2050-2069
  12. A.D.Ioffe and V.M.Tikhomirov,Theory of extremal problems, “Nauka”, Moscow,1974; English Transl., North Holland, Amsterdam,1978.