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One simple remark concerning the uniform value
Dmitry Khlopin
The paper is devoted to dynamic games. We consider a general enough framework, which is not limited to e.g. differential games and could accommodate both discrete and continuous ti…
Value Asymptotics in Dynamic Games on Large Horizons
Dmitry Khlopin
This paper is concerned with two-person dynamic zero-sum games. Let games for some family have common dynamics, running costs and capabilities of players, and let these games diffe…
On an example for the Uniform Tauberian theorem in abstract control systems
Dmitry Khlopin
The paper is devoted to the asymptotic behavior of value functions of abstract control problem with the long-time and discounted averages. The Uniform Tauberian Theorem for these p…
On Hamiltonian as limiting gradient in infinite horizon problem
Dmitry Khlopin
Necessary conditions of optimality in the form of the Pontryagin Maximum Principle are derived for the Bolza-type discounted problem with free right end. The optimality is understo…
On necessary boundary conditions for strictly optimal control in infinite horizon control problems
Dmitry Khlopin
In the paper we consider the infinite horizon control problems on the interval with free right-hand endpoint. We obtain the necessary conditions of strict optimality. The method of…
Necessity of vanishing shadow price in infinite horizon control problems
Dmitry Khlopin
This paper investigates the necessary optimality conditions for uniformly overtaking optimal control on infinite horizon in the free end case. %with free right endpoint. In the pap…