Optimal Synthesis Problem Relative to Domain Evolution

Fikret Akhmed Ali Ogly Aliev; Aghaddin A. Niftiyev; Javanshir  I. Zeynalov

doi:10.1615/JAutomatInfScien.v45.i2.60

Journal of Automation and Information Sciences

Éditeur en chef: Arkadiy A. Chikriy (open in a new tab)

Éditeur associés: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Publication de 12 numéros par an

ISSN Imprimer: 1064-2315

ISSN En ligne: 2163-9337

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Optimal Synthesis Problem Relative to Domain Evolution

Volume 45, Numéro 2, 2013, pp. 50-56

DOI: 10.1615/JAutomatInfScien.v45.i2.60

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Fikret Akhmed Ali Ogly Aliev
Scientific Research Institute of Applied Mathematics of Baku State University, Azerbaijan

Aghaddin A. Niftiyev
Scientific Research Institute of Applied Mathematics of Baku State University (Azerbaijan)

Javanshir I. Zeynalov
Nakhichivan State University (Azerbaijan)

RÉSUMÉ

The optimal synthesis problem, associated with changes in the domain form, is considered. The system state is described by a system of differential equations relative to a pair of domains. It is shown that the conditions of the existence of the minimum of the considered functional and calculation of the optimal control by input data are associated with solution of the Riccati equation.

MOTS CLÉS: optimal synthesis relative to the domain evolution, changes in the domain form, rate of the domain change, formula for solving the problem.

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