Search Results - "Rouot, Jeremy"

Feedback Classification and Optimal Control with Applications to the Controlled Lotka-Volterra Model by Bonnard, Bernard, Rouot, Jérémy

“…Let M be a σ-compact C^∞ manifold of dimension n ≥ 2 and consider a single-input control system: ẋ(t) = X (x(t)) + u(t) Y (x(t)), where X , Y are C^∞ vector…”
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Finite dimensional approximation to muscular response in force-fatigue dynamics using functional electrical stimulation by Bakir, Toufik, Bonnard, Bernard, Gayrard, Sandrine, Rouot, Jérémy

“…Recent dynamical models, based on the seminal work of V. Hill, allow to predict the muscular response to functional electrostimulation (FES), in the isometric…”
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State Constrained Two Player Differential Games with Decoupled Dynamics by Bettiol, Piernicola, Rouot, Jérémy

“…We consider a two player zero-sum differential game with state constraints, in which the dynamics is decoupled: each player has to stay in a closed (nonempty)…”
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Pontryagin-Type Conditions for Optimal Muscular Force Response to Functional Electrical Stimulations by Bakir, Toufik, Bonnard, Bernard, Bourdin, Loïc, Rouot, Jérémy

“…In biomechanics, recent mathematical models allow one to predict the muscular force response to functional electrical stimulations. The main concern of the…”
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Geometric optimal control of the generalized Lotka–Volterra model of the intestinal microbiome by Bonnard, Bernard, Rouot, Jérémy, Silva, Cristiana J

“…We introduce the theoretical framework from geometric optimal control for a control system modeled by the generalized Lotka–Volterra equation, motivated by…”
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Sub-Riemannian geometry, Hamiltonian dynamics, micro-swimmers, copepod nauplii and copepod robot by Bonnard, Bernard, Chyba, Monique, Rouot, Jéremy, Takagi, Daisuke

“…The objective of this article is to present the seminal concepts and techniques of Sub-Riemannian geometry and Hamiltonian dynamics, complemented by adapted…”
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Direct and indirect methods to optimize the muscular force response to a pulse train of electrical stimulation by Bakir, Toufik, Bonnard, Bernard, Bourdin, Loïc, Rouot, Jérémy

“…Recent force-fatigue mathematical models in biomechanics [7] allow to predict the muscular force response to functional electrical stimulation (FES) and leads…”
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On inverse optimal control via polynomial optimization by Rouot, Jeremy, Lasserre, Jean-Bernard

“…We consider the class of control systems where the differential equation, state and control system are described by polynomials. Given a set of trajectories…”
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Optimal control of an ensemble of Bloch equations with applications in MRI by Bonnard, Bernard, Jacquemard, Alain, Rouot, Jeremy

“…The optimal control of an ensemble of Bloch equations describing the evolution of an ensemble of spins is the mathematical model used in Nuclear Resonance…”
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Taming the curse of dimensionality for perturbed token identification by Assainova, Olga, Rouot, Jeremy, Sedgh-Gooya, Ehsan

“…In the context of data tokenization, we model a token as a vector of a finite dimensional metric space E and given a finite subset of E, called the token set,…”
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Pontryagin-Type Conditions for Optimal Muscular Force Response to Functional Electric Stimulations by Bakir, Toufik, Bonnard, Bernard, Bourdin, Loïc, Rouot, Jérémy

“…In biomechanics recent mathematical models allow to predict the muscular force response to functional electrical stimulations (in short, FES).The main concern…”
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Geometric optimal control techniques to optimize the production of chemical reactors using temperature control by Bakir, T., Bonnard, B., Rouot, J.

“…The dynamics of mass reaction kinetics chemical systems is modeled by the Feinberg-Horn-Jackson graph and under the ”zero deficiency assumption”, the behavior…”
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Towards Geometric Time Minimal Control without Legendre Condition and with Multiple Singular Extremals for Chemical Networks by Bonnard, Bernard, Rouot, Jérémy

“…This article deals with the problem of maximizing the production of a species for a chemical network by controlling the temperature. Under the so-called mass…”
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Accessibility Properties of Abnormal Geodesics in Optimal Control Illustrated by Two Case Studies by Bonnard, Bernard, Rouot, Jérémy, Wembe, Boris

“…In this article, we use two case studies from geometry and optimal control of chemical network to analyze the relation between abnormal geodesics in time…”
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Finite Dimensional Approximation to Muscular Response in Force-Fatigue Dynamics using Functional Electrical Stimulation by Bakir, Toufik, Bonnard, Bernard, Gayrard, Sandrine, Rouot, Jérémy

“…Recent dynamical models, based on the seminal work of V. Hill, allow to predict the muscular response to functional electrostimulation (FES), in the isometric…”
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On inverse optimal control via polynomial optimization by Rouot, Jérémy, Lasserre, Jean-Bernard

“…We consider the class of control systems where the differential equation, state and control system are described by polynomials. Given a set of trajectories…”
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A numerical approach to the optimal control and efficiency of the copepod swimmer by Bonnard, B., Chyba, M., Rouot, J., Takagi, D.

“…This article presents a geometric and numerical approach to compute the optimal swimming strokes of a larval copepod. A simplified model of locomotion at low…”
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