Title :
Optimal control for Schrodinger´s equation with pure imaginary coefficient in the nonlinear part of the equation
Author_Institution :
Nakhichevan State Univ., Nakhichevan, Azerbaijan
Abstract :
Work is devoted study of a problem of optimal control for a Schrodinger equation with purely imaginary factor in a nonlinear part of this equation where control is quadratically the summable function, and the criterion of quality is a functional of Lions. With that end in view at first the correctness of statement of the reduced problem is investigated and the correctness of statement of a problem of optimum control is studied. Differentiability of a functional of Lions is investigated and the necessary condition of an optimality in the form of a variation inequality is established.
Keywords :
Schrodinger equation; functional equations; nonlinear differential equations; optimal control; Lion functional differentiability; Schrodinger equation; optimal control; optimality necessary condition; optimum control problem; pure imaginary coefficient; purely imaginary factor; reduced problem statement correctness; summable function; Schrodinger equation; criterion of Lions; optimum control;
Conference_Titel :
Problems of Cybernetics and Informatics (PCI), 2012 IV International Conference
Conference_Location :
Baku
Print_ISBN :
978-1-4673-4500-2
DOI :
10.1109/ICPCI.2012.6486465
