On one class of optimal control problems for quantum systems

On Control Processes in the Systems of Counteracting Spins

“…Предложено яв-ное преобразование исходной системы к эквивалентной дискретно-непрерывной производной системе (7), (6), описывающей регулярно обобщенные решения импульсного типа. Фактически она может рас-сматриваться как новая модель при сильных управляющих воздей-ствиях, «изящная» и удобная для исследования разнообразных задач управления.…”

“…Задачи их оптимизации исследовались непосредственно с помощью итерационного метода В. Ф. Кротова глобального улучшения в [1][2][3][4][5][6].…”

A Necessary Optimality Condition on the Control of a Charged Particle

“…In [20], the optimality conditions for an LSE with a singular potential are given. In [4,21,22], the authors study OCPs for LSEs. In [22][23][24], the authors prove the existence of solutions of OCPs for systems governed by NLSEs and give the necessary optimality conditions.…”

The solvability of the optimal control problem for a nonlinear Schrödinger equation

“…The objective functionals can be diversely chosen with regard to our purpose such as final, boundary or Lions-type functional [12]. In the studies [13][14][15][16][17][18][19][20][21][22], the objective functional is considered as a final functional and the controlled system is generally stated by the Schrödinger equation. In [23][24][25][26][27], the OCPs with Lions functional has been studied and the controlled system is stated by linear or nonlinear Schrödinger equations.…”