Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Pogodaev, Nikolay"'
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
Autor:
Pogodaev, Nikolay, Rossi, Francesco
We consider a control system driven by a nonlocal continuity equation. Admissible controls are Lipschitz vector fields acting inside a fixed open set. We demonstrate that small perturbations of the initial measure, traced along Wasserstein geodesics,
Externí odkaz:
http://arxiv.org/abs/2403.03580
Autor:
Pogodaev, Nikolay, Rossi, Francesco
We discuss stabilization around trajectories of the continuity equation with nonlocal vector fields, where the control is localized, i.e., it acts on a fixed subset of the configuration space. We first show that the correct definition of stabilizatio
Externí odkaz:
http://arxiv.org/abs/2403.02837
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
Publikováno v:
9th International Conference on Control, Decision and Information Technologies (CoDIT), Rome, Italy, 2023, pp. 512-517
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
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
We present a model of crowd motion in regions with moving obstacles, which is based on the notion of measure sweeping process. The obstacle is modeled by a set-valued map, whose values are complements to r-prox-regular sets. The crowd motion obeys a
Externí odkaz:
http://arxiv.org/abs/2007.04605
Autor:
Pogodaev, Nikolay, Staritsyn, Maxim
The paper extends an impulsive control-theoretical framework towards dynamic systems in the space of measures. We consider a transport equation describing the time-evolution of a conservative "mass" (probability measure), which represents an infinite
Externí odkaz:
http://arxiv.org/abs/1908.00315
Autor:
Chertovskih, Roman1 (AUTHOR) roman@fe.up.pt, Pogodaev, Nikolay2 (AUTHOR), Staritsyn, Maxim1 (AUTHOR)
Publikováno v:
Applied Mathematics & Optimization. Dec2023, Vol. 88 Issue 3, p1-37. 37p.
