Time-optimal control of a third-order plant
Time-optimal control of infinite order hyperbolic systems with time delays
In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.
Time-optimal control of nonlinear parabolic systems with constrained derivative of control, existence theorem
Time-optimal control of systems with fractional dynamics.
Turnpike properties of approximate solutions of autonomous variational problems
Uniqueness and non uniqueness of optimal maps in mass transport problem with not strictly convex cost
In the setting of the optimal transportation problem we provide some conditions which ensure the existence and the uniqueness of the optimal map in the case of cost functions satisfying mild regularity hypothesis and no convexity or concavity assumptions.
Variational problems on classes of rearrangements and multiple configurations for steady vortices
Линейные задачи оптимального быстродействия с разрывными на множестве положительной меры управлениями
Сингулярная задача оптимального управления линейной стационарной системой с квадратичным функционалом.
Условия оптимальности для одного класса систем с распределением параметров.