Necessary Optimality Conditions in a Discrete Control Problem with Nonlocal Boundary Conditions

Kamil Bayramali oglu Mansimov

doi:10.1615/JAutomatInfScien.v44.i9.70

Journal of Automation and Information Sciences

Editor en Jefe: Arkadiy A. Chikriy (open in a new tab)

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

Publicado 12 números por año

ISSN Imprimir: 1064-2315

ISSN En Línea: 2163-9337

Indexed in

Necessary Optimality Conditions in a Discrete Control Problem with Nonlocal Boundary Conditions

Volumen 44, Edición 9, 2012, pp. 74-83

DOI: 10.1615/JAutomatInfScien.v44.i9.70

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Kamil Bayramali oglu Mansimov
Institute of Cybernetics of National Academy of Sciences of Azerbaijan, Baku, Azerbaijan

SINOPSIS

A problem of optimal control, described by the system of nonlinear difference equations with nonlocal boundary conditions, is considered. Using the modified procedure of the increment method we prove the necessary condition of optimality of the discrete Pontryagin maximum principle type. The case of degeneration of the discrete maximum principle is studied separately.

PALABRAS CLAVE: problem of optimal control, the system of nonlinear difference equations, nonlocal boundary conditions, modified procedure of the increment method, necessary condition of optimality, discrete Pontryagin maximum principle

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