Journals / 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

Pages
889–898
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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.

🔖

Cite This Article

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

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (12)

  1. Yu.G Borisavich et al.,Multivalued mappings,Itogi Nauki I Tekniki:Math. Anal.,vol.19,VINITI,Moscow,1982pp.127-230,English transl. in J. Soviet Math:26 (1984),no.4
  2. B.N Pshenichnyi, Convex analysis and external problems “Nauka”, Moscow,1980 (Russian)
  3. V.L. Makarov and A.M.Rubinov,The mathematical theory of economic dinamics and equilibrium, “Nauka”,Moscow,1973,English Transl., Springer-Verlag,Berlin,1977
  4. Kaplan, Wilfred, Maxima and Minima with Applications Practical Optimization and Duality,John Wiley and Sons,Inc.,New York,1999,284 pp
  5. Ivar Ekaland and Roger Temam, Analyse convexe et problemes variationelles Dunod and Gauthier Villars,Paris,1974
  6. P.J.Loran,Approximation and Optimization, Mir, Moscow, 1973(Russian
  7. E.N. Makhmudov[E.N. Mahmudov] and B.N. Pshenichny,The optimality principle for discrete and differential inclusions of parabolic type with distributed parameters,and duality,English. Transl.Russian Acad. Sci. Izv. Math. Vol. 42 (1994),no2,pp.299-319
  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.