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

67 citations

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

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7 papers · 1 filter

math.OC2023★ 2 cited

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…

math.OC2022★ 9 cited

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…

math.OC2022★ 8 cited

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…

math.OC2019

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…

math.OC2019★ 3 cited

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…

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…

math.OC2015★ 67 cited

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…