Author/Authors :
Mardanov, Misir J. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan , Abdullayeva, Irane A. Sumgayit State University, Sumgayit, Azerbaijan , Mammadov, Akbar J. Sumgayit State University, Sumgayit, Azerbaijan
Abstract :
A movable optimal control problem with additional constraint for a system described by a
parabolic type equation is considered. At first the solution of a mixed problem for every fixed possible
controller is determined. Then the found general solution of the mixed problem is used in studying optimal
control problem. Then optimal control problem is reduced to the L- moment problem in the subspace of
the space L2(0; T) (with respect to newly determined scalar product), necessary and sufficient condition
for the solvability of the obtained L- moment problem is proved
Keywords :
movable optimal control problem , quadratic functional , positive-definite kernel , integral equation
