Allaberen Ashyralyev, Yagub A. Sharifov
Abstract:
In this article, the optimal control problem is considered when the
state of the system is described by the impulsive differential equations
with integral boundary conditions. Applying the Banach contraction principle
the existence and uniqueness of the solution is proved for the corresponding
boundary problem by the fixed admissible control. The first and second
variation of the functional is calculated. Various necessary conditions of
optimality of the first and second order are obtained by the help of the
variation of the controls.
Submitted February 2, 2013. Published March 22, 2013.
Math Subject Classifications: 34B10, 34A37, 34H05.
Key Words: Nonlocal boundary conditions; impulsive systems;
optimal control problem.
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Allaberen Ashyralyev Department of Mathematics, Fatih University 34500 Buyukcekmece, Istanbul, Turkey. ITTU, Ashgabat, Turkmenistan. email: aashyr@fatih.edu.tr | |
Yagub A. Sharifov Baku State University, Institute of Cybernetics of ANAS Baku, Azerbaijan email: sharifov22@rambler.ru |
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