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154 results on '"Lorenzo, Farina"'

152. Optimal Control for (max,+)-linear Systems in the Presence of Disturbances (pp 47-54)

Author

Lhommeau, Mehdi, Hardouin, Laurent, Cottenceau, Bertrand, Laboratoire d'Ingéniérie des Systèmes Automatisés (LISA), Université d'Angers (UA), Luca Benvenuti, Alberto De Santis, and Lorenzo Farina

Abstract

Proceedings of the First Multidisciplinary International Symposium on Positive Systems: Theory and Applications (POSTA 2003), Rome, Italy, August 28-30, 2003

Published
2003
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153. Stability Analysis of a Metabolic Model with Sequential Feedback Inhibition

Author

Frédéric Grognard, Yacine Chitour, Georges Bastin, Laboratoire des signaux et systèmes (L2S), Université Paris-Sud - Paris 11 (UP11)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), Modeling and control of renewable resources (COMORE), Laboratoire d'océanographie de Villefranche (LOV), Observatoire océanologique de Villefranche-sur-mer (OOVM), Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS)-Observatoire océanologique de Villefranche-sur-mer (OOVM), Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS)-Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Centre for systems engineering and applied mechanics [Louvain] (CESAME), Université Catholique de Louvain = Catholic University of Louvain (UCL), Luca Benvenuti, Alberto De Santis, and Lorenzo Farina

Subjects
Feedback inhibition, Chemistry, 010102 general mathematics, Kinetics, Regulator, 01 natural sciences, Stability (probability), Enzyme catalysis, 010101 applied mathematics, Metabolic Model, Exponential stability, Control theory, Stability theory, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], 0101 mathematics
Abstract

International audience; This paper deals with the stability analysis of a simple metabolic system with feedback inhibition. The system is a sequence of monomolecular enzymatic reactions. The last metabolite acts as a feedback regulator for the first enzyme of the pathway. The enzymatic reactions of the pathway satisfy Michaelis-Menten kinetics. The inhibition is described by an hyperbolic model. Without inhibition, it is clear that the system is cooperative and has a single globally asymptotically stable equilibrium. But, in the common situation where there is inhibition, the system is no longer cooperative and the stability analysis is more intricate. In this paper we exhibit sufficient conditions on the kinetic parameters in order to guarantee that this simple metabolic system with inhibition still has a single globally asymptotically stable equilibrium.

Published
2003
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154. Modelling of Urban Bus Networks in Dioids Algebra (pp 23-30)

Author

Lahaye, Sébastien, Houssin, Laurent, Boimond, Jean-Louis, Laboratoire d'Ingéniérie des Systèmes Automatisés (LISA), Université d'Angers (UA), Luca Benvenuti, Alberto De Santis, and Lorenzo Farina

Abstract

Proceedings of the First Multidisciplinary International Symposium on Positive Systems: Theory and Applications (POSTA 2003), Rome, Italy, August 28-30, 2003

Published
2003
Full Text
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