Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Chertovskih, Roman"'
To advance our understanding of the magnetohydrodynamic (MHD) processes in liquid metals, in this paper we propose an approach combining the classical methods in the dynamo theory based on numerical simulations of the partial differential equations g
Externí odkaz:
http://arxiv.org/abs/2407.17627
We apply methods of the fixed point theory to a Lambda policy iteration with a randomization algorithm for weak contractions mappings. This type of mappings covers a broader range than the strong contractions typically considered in the literature, s
Externí odkaz:
http://arxiv.org/abs/2405.07824
Publikováno v:
IEEE Control Systems Letters, vol. 8, pp. 1469-1474, 2024
This work collects some methodological insights for numerical solution of a "minimum-dispersion" control problem for nonlinear stochastic differential equations, a particular relaxation of the covariance steering task. The main ingredient of our appr
Externí odkaz:
http://arxiv.org/abs/2405.07676
We tackle a nonlinear optimal control problem for a stochastic differential equation in Euclidean space and its state-linear counterpart for the Fokker-Planck-Kolmogorov equation in the space of probabilities. Our approach is founded on a novel conce
Externí odkaz:
http://arxiv.org/abs/2403.01945
Hydrodynamic and magnetohydrodynamic convective attractors in three-dimensional rotating Rayleigh-B\'enard convection are studied numerically by varying the Taylor and Rayleigh numbers as control parameters. First, an analysis of hydrodynamic attract
Externí odkaz:
http://arxiv.org/abs/2402.02908
Publikováno v:
in IEEE Control Systems Letters, vol. 7, pp. 2059-2064, 2023
Motivated by the problem of designing robust composite pulses for Bloch equations in the presence of natural perturbations, we study an abstract optimal ensemble control problem in a probabilistic setting with a general nonlinear performance criterio
Externí odkaz:
http://arxiv.org/abs/2303.08974
Autor:
Chertovskih, Roman, Pogodaev, Nikolay, Staritsyn, Maxim, Sewane, Joaquim Da Silva, Aguiar, Antonio Pedro
We study a problem of designing ``robust'' external excitations for control and synchronization of an assembly of homotypic harmonic oscillators representing so-called theta neurons. The model of theta neurons (Theta model) captures, in main, the bur
Externí odkaz:
http://arxiv.org/abs/2301.11952
Publikováno v:
Appl Math Optim 88, 86 (2023)
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 an option to directly control the nonlocal terms of the driving vector
Externí odkaz:
http://arxiv.org/abs/2212.06608
Autor:
Rempel, Erico L., Chertovskih, Roman, Davletshina, Kamilla R., Silva, Suzana S. A., Welsch, Brian T., Chian, Abraham C. -L.
Publikováno v:
ApJ 933 2 (2022)
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 magnetic reconnection, flares, wave propagation, particle acceleration, and
Externí odkaz:
http://arxiv.org/abs/2205.09846
Publikováno v:
IEEE Control Systems Letters, vol. 6, pp. 1046-1051, 2022
We consider an optimal control problem for a system of local continuity equations on a space of probability measures. Such systems can be viewed as macroscopic models of ensembles of non-interacting particles or homotypic individuals, representing se
Externí odkaz:
http://arxiv.org/abs/2105.04248