Necessary Conditions for Nonsmooth, Infinite-Horizon, Optimal Control Problems

A Maximum Principle for Smooth Infinite Horizon Optimal Control Problems with State Constraints and with Terminal Constraints at Infinity

“…For nonsmooth problems with a full set of transversality conditions in the infinite horizon case, see [6]. For such problems, see also [7].…”

Задачи Оптимального Управления На Бесконечном Интервале Времени В Экономике

“…[15], [20], [29], [39], [41], [43], [46], [47], [50], [53]), обычно при довольно силь-ных дополнительных предположениях типа выпуклости.…”

On Hamiltonian as Limiting Gradient in Infinite Horizon Problem

“…Here, the Michel condition is used along with some limiting solution of the Pontryagin maximum principle (see [17]); the limiting solution may be considered without assumptions on the asymptotic behaviour of trajectories or adjoint variables. The idea of the limiting solution can be traced to paper [24]; see its connection with the Aseev-Kryazhimskii formula in [16].The general case of Bolza-type infinite horizon problem with free right end was studied in [17]. In this paper, we prove the existence of a limiting solution of PMP that satisfies the Michel condition for uniformly overtaking optimal control; the arising transversality conditions are expressed in the form of limiting gradients of payoff function at infinity.…”

“…Here, the Michel condition is used along with some limiting solution of the Pontryagin maximum principle (see [17]); the limiting solution may be considered without assumptions on the asymptotic behaviour of trajectories or adjoint variables. The idea of the limiting solution can be traced to paper [24]; see its connection with the Aseev-Kryazhimskii formula in [16].…”