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THE NECESSARY CONDITIONS OF OPTIMALITY IN INEQUALITY TYPE FOR ONE NONSMOOTH PROBLEM

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 2004-2005

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Abstract (2. Language): 
Necessary conditions of optimality of the first order inequality type for the problems of optimal control described by the of extreme-differential equations and quality criterion maximum type are obtained in this paper.type maximum principle of Pontryagin are obtained.
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147-155
  • English

REFERENCES

References: 

1. Agamali.yev A.G The maximum pricipal for an extremal problem, îzvetiya AN Azerb.SSR.1977. No.6
2. Agamali.yev A.G.,Gasanov K.K. A Theorem on existence of optimal control for one non-smooth control problem. DAN Azerb. SSR. T. XXXVII No 12. 1981.
3. Alseviç V.V. Zadaça terminalnogo upravleniya s nedifferençiruyemim kriteriyem kaçestva. Sb."differençialniye i integralniye uravneniya", No 2, izd-vo îrkutskogo un-ta, 1973
4. Bellman R. Dynamic programming. Princeton Univ. Press. 1957.
5. ClarkeF.H., Generalized gradients and applications,Trans. Amer. Math. Soc. 1975. Vol. 205. pp. 247-262.
6. Demyanov V.F. Minimaks: V.N: Vvedeniye v minimaks. M. Nauka
7. Filippov A. F. O nekotonx voprosax teorii optimalnogo regulirovaniya. Vestn.Mosk.un-ta, 1959,No2.
8. Gabasov.R.,Kirillova.F. The Qualitative Theory of Optimal Processes. Nauka. 1971.

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