67 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Universidade do PortoPT11 papers
- Russian Academy of SciencesRU3 papers
- Federal Research Center “Computer Science and Control” of the Russian Academy of SciencesRU2 papers
- Institute of Earthquake Prediction Theory and Mathematical GeophysicsRU2 papers
- Samara National Research UniversityRU2 papers
- University of PaduaIT2 papers
- Aswan UniversityEG1 paper
- CAGE: Contrôle et géométrieFR1 paper
- CentraleSupélecFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Centro de MatemáticaPT1 paper
- École PolytechniqueFR1 paper
11 papers
Optimization of external stimuli for populations of theta neurons via mean-field feedback control
Roman Chertovskih, Nikolay Pogodaev, Maxim Staritsyn +2
We study a problem of designing ``robust'' external excitations for control and synchronization of an assembly of homotypic harmonic oscillators representing so-called theta neuron…
Optimal control of nonlocal continuity equations: numerical solution
Roman Chertovskih, Nikolay Pogodaev, Maxim Staritsyn
The paper addresses an optimal ensemble control problem for nonlocal continuity equations on the space of probability measures. We admit the general nonlinear cost functional, and…
Reconstruction of photospheric velocity fields from highly corrupted data
Erico L. Rempel, Roman Chertovskih, Kamilla R. Davletshina +3
The analysis of the photospheric velocity field is essential for understanding plasma turbulence in the solar surface, which may be responsible for driving processes such as magnet…
Trajectory Optimization and NMPC Tracking for a Fixed Wing UAV in Deep Stall with Perch Landing
Huu Thien Nguyen, Ionela Prodan, Fernando A. C. C. Fontes
This paper presents a novel recovery technique for a fixed-wing UAV (Unmanned Aerial Vehicle) based on constrained optimization: i) we propose a trajectory generation for landing t…
Regular path-constrained time-optimal control problems in three-dimensional flow fields
Roman Chertovskih, Dmitry Karamzin, Nathalie T. Khalil +1
This article concerns a class of time-optimal state constrained control problems with dynamics defined by an ordinary differential equation involving a three-dimensional steady flo…
Time-Optimal Control Problem With State Constraints In A Time-Periodic Flow Field
Roman Chertovskih, Nathalie T. Khalil, Fernando Lobo Pereira
This article contributes to a framework for a computational indirect method based on the Pontryagin maximum principle to efficiently solve a class of state constrained time-optimal…
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…
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…
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…
Magnetic field generation by pointwise zero-helicity three-dimensional steady flow of incompressible electrically conducting fluid
A. Rasskazov, R. Chertovskih, V. Zheligovsky
We introduce six families of three-dimensional space-periodic steady solenoidal flows, whose kinetic helicity density is zero at any point. Four families are analytically defined.…
A new approach to the Pontryagin maximum principle for nonlinear fractional optimal control problems
H. M. Ali, F. Lobo Pereira, S. M. A. Gama
In this paper, we discuss a new general formulation of fractional optimal control problems whose performance index is in the fractional integral form and the dynamics are given by…