output
20152023
most citedA new approach to the Pontryagin maximum principle for nonlinear fractional optimal control problems

67 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2018Show all

3 papers · 1 filter

math.OC2018★ 18 cited

An indirect numerical method for a time-optimal state-constrained control problem in a steady two-dimensional fluid flow

Roman Chertovskih, Nathalie T. Khalil, Dmitry Karamzin +1

This article concerns the problem of computing solutions to state-constrained optimal control problems whose trajectory is affected by a flow field. This general mathematical frame…

physics.flu-dyn2018★ 5 cited

Pointwise vanishing velocity helicity of a flow does not preclude magnetic field generation

Alexander Andrievsky, Roman Chertovskih, Vladislav Zheligovsky

Pointwise zero velocity helicity density is shown not to prevent steady flows from acting as kinematic dynamos. We present numerical evidences that such flows can generate both sma…

cs.CV2018★ 7 cited

Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion

Ugo Boscain, Roman Chertovskih, Jean-Paul Gauthier +2

In this paper we review several algorithms for image inpainting based on the hypoelliptic diffusion naturally associated with a mathematical model of the primary visual cortex. In…