Misir J. Mardanov, Kamil B. Mansimov, “Necessary optimality conditions of quasi-singular controls in optimal control”, Proc. of Institute of mathematics and mechanics, 2015, Volume 41, Issue 1,Pages <nobr>113

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Necessary optimality conditions of quasi-singular controls in optimal control

Misir J. Mardanov^a, Kamil B. Mansimov^b

^a Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku
^b Institute of Control Systems, National Academy of Sciences of Azerbaijan, Baku

Abstract: An optimal control problem described by a system of Volterra type integro-differential equations is considered. Assuming the control domain to be convex, the necessary optimality condition in the form of a linearized maximum condition is proved. Investigating special increments in the quality criterion, different necessary optimality conditions of quasi-singular controls are established.

MSC: Primary 49J15; Secondary 37N25, 37N40

Received: 19.05.2015
Accepted: 02.06.2015

Language: English