22 citations · 74 across the 18 of their papers we have counts for
19 papers
Pontryagin maximum principle for the deterministic mean field type optimal control problem via the Lagrangian approach
Yurii Averboukh, Dmitry Khlopin
We study necessary optimality conditions for the deterministic mean field type free-endpoint optimal control problem. Our study relies on the Lagrangian approach that treats the me…
Aluminum Cayley trees as scalable, broadband, multi-resonant optical antennas
Thomas Simon, Xiaoyan Li, Jérôme Martin +4
An optical antenna can convert a propagative optical radiation into a localized excitation, and reciprocally. Although optical antennas can be readily created using resonant nanopa…
Necessary Conditions In Infinite-Horizon Control Problem That Need No Asymptotic Assumptions
Dmitry V. Khlopin
We consider an infinite-horizon optimal control problem with an asymptotic terminal constraint. For the the weakly overtaking criterion and the overtaking criterion, necessary boun…
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…
Local field enhancement and thermoplasmonics in multimodal Aluminum structures
Peter R. Wiecha, Marie-Maxime Mennemanteuil, Dmitry Khlopin +6
Aluminum nanostructures have recently been at the focus of numerous studies due to their properties including oxidation stability and surface plasmon resonances covering the ultrav…
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…