18 citations · 39 across the 7 of their papers we have counts for
7 papers
Analytic characterization of stability islands on two point vortex systems
Gil M. Marques, Sílvio Gama, Fernando L. Pereira
In a system of point vortices, there exist regions of stability around each vortex, even if the system is chaotic. These regions are usually called stability islands and they have…
A Quantum Optimal Control Problem with State Constrained Preserving Coherence
Nahid Binandeh Dehaghani, Fernando Lobo Pereira
In this work, we address the problem of maximizing fidelity in a quantum state transformation process controlled in such a way as to keep decoherence within given bounds. We consid…
Feedback maximum principle for ensemble control of local continuity equations. An application to supervised machine learning
Maxim Staritsyn, Nikolay Pogodaev, Roman Chertovskih +1
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…
Optimization of Controlled Free-Time Sweeping Processes with Applications to Marine Surface Vehicle Modeling
Tan H. Cao, Nathalie T. Khalil, Boris S. Mordukhovich +3
The paper is devoted to a free-time optimal control problem for sweeping processes. We develop a constructive finite-difference approximation procedure that allows us to establish…
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…