WorldCat Identities

Gouzé, Jean-Luc

Overview
Works: 44 works in 66 publications in 2 languages and 94 library holdings
Roles: Author, Thesis advisor, Opponent, Other
Publication Timeline
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Most widely held works by Jean-Luc Gouzé
An inequality involving nonnegative matrices and increasing functions = Une inégalité "entropique" entre matrices positives et fonctions monotones by J.-L Gouzé( Book )

2 editions published in 1990 in English and held by 6 WorldCat member libraries worldwide

Abstract: "Let f̃(x) denote the vector (f(x₁) ..., f(x[subscript n]))[superscript t]; if A is a doubly stochastic matrix and f a strictly increasing function, we demonstrate that [formula] for all vector x; this inequality has applications in the study of non-linear differential systems."
A criterion of global convergence to equilibrium for differential systems : application to Lotka-Volterra systems by Jean-Luc Gouze( Book )

2 editions published in 1988 in English and held by 6 WorldCat member libraries worldwide

Global behaviour of n-dimensional Lotka-Volterra systems = Comportement global des systèmes de Lotka-Volterra en dimension n by Jean-Luc Gouzé( Book )

2 editions published in 1990 in English and held by 5 WorldCat member libraries worldwide

Analyse mathématique qualitative de modèles biologiques by Jean-Luc Gouzé( Book )

3 editions published in 1996 in French and held by 5 WorldCat member libraries worldwide

Global behaviour of polynomial differential systems in the positive orthant = Comportement global des systèmes différentiels polynomiaux dans l'orthant positif by Jean-Luc Gouzé( Book )

3 editions published in 1990 in English and held by 4 WorldCat member libraries worldwide

Abstract: "We study polynomial n-dimensional differential systems defined in the positive orthant. By using tools from positivity and functions that decrease along the trajectories, we give sufficient conditions for a regular global behaviour: that is, all the trajectories either converge towards the equilibria or are unbounded. We also give results on global stability or unstability in some cases."
Invariance and symbolic control of cooperative systems for temperature regulation in intelligent buildings by Pierre-Jean Meyer( )

2 editions published in 2015 in English and held by 3 WorldCat member libraries worldwide

Cette thèse fournit de nouvelles stratégies de contrôle pouvant s'attaquer aux phénomènes hétérogènes et non-linéaires qui décrivent la régulation de la température dans les bâtiments afin d'obtenir un compromis entre le confort et l'efficacité énergétique. Nous nous intéressons donc au contrôle robuste de systèmes coopératifs avec perturbations bornées. Nous résolvons d'abord ce problème grâce à la notion d'intervalle invariant contrôlé robuste, décrivant un ensemble dans lequel l'état peut être maintenu quelle que soit la valeur des perturbations. Une seconde approche décrit des méthodes symboliques pour la synthèse d'un contrôleur discret sur une abstraction finie du système, réalisant une spécification de sûreté associée à l'optimisation des performances. Nous présentons d'abord une méthode symbolique centralisée utilisant les dynamiques du système correspondant au modèle physique. Pour résoudre ses limitations en termes de passage à l'échelle, nous considérons une approche compositionnelle où les méthodes symboliques d'abstraction et de synthèse sont appliquées à des descriptions partielles du système, sous des obligations de type assume-guarantee supposant que la sûreté est satisfaite pour tous les états non-contrôlés. Dans la dernière partie, les contrôleurs présentés sont combinés et évalués dans le cadre d'une régulation de température pour un bâtiment expérimental équipé de la solution UnderFloor Air Distribution
Modélisation structurée de la croissance du phytoplancton en chemostat by Julien Arino( )

2 editions published in 2001 in French and held by 3 WorldCat member libraries worldwide

Caractérisation et modélisation de la dynamique spatiale et saisonnière de populations démersales et benthiques exploitées de la Mer Celtique by Marion Verdoit-Jarraya( Book )

2 editions published in 2003 in French and held by 3 WorldCat member libraries worldwide

Transient behavior of biological loop models, with application to the Droop model by Olivier Bernard( Book )

2 editions published in 1993 in English and held by 3 WorldCat member libraries worldwide

Transformation of polynomial differential systems in the positive orthant = Transformation des systèmes différentiels polynomiaux dans l'orthant positif by Jean-Luc Gouzé( Book )

2 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide

Abstract: "We study polynomial n-dimensional differential systems when the (n-dimensional) variable keeps the same sign; that is, the system is defined inside one of the orthants. We show it is always possible to transform the system into a quadratic Lotka-Volterra type system. We give several tools to study these last systems; we deduce indications on the global behaviour of the original system."
Stabilisation globale de systèmes dynamiques positifs malconnus : applications en biologie by Ludovic Mailleret( Book )

2 editions published in 2004 in French and held by 3 WorldCat member libraries worldwide

Works presented in this thesis focus on problems related to the control of positive systems of nonlinear ordinary differential equations. Biological models that aim at describing the evolution of positive quantities do belong to this class of systems. These models often include some parts, related to the phenomenon's biology, which have unknown analytical expressions but are known in a qualitative manner. In this thesis, we propose to use these qualitative properties together with a control law, based on the measurement of the uncertain part, in order to globally stabilize any trajectory towards a single equilibrium. A brief state of the art on positive systems begins the thesis. We introduce then a control law, able to ensure the global stabilization of the considered class of systems. The introduction of an adaptive part enhances our approach, so that the control law is able to deal with some parameter uncertainties. We apply these results to some biological models : fishery management model, bioreactors exploiting microorganisms... One of our main applications concerns cascade bioreactions occurring in bioreactors some experimental tests of our approach on an anaerobic digester, an efficient but very sensitive waste water treatment plant, validate our approach
Modèle de contrôle en gestion des pêches by Suzanne Touzeau( Book )

2 editions published in 1997 in French and held by 3 WorldCat member libraries worldwide

Le but de cette thèse est d'appliquer des outils issus de l'automatique pour résoudre des problèmes associes a la gestion de pêcherie. Elle s'articule selon deux axes: la modélisation et le contrôle. Nous avons établi et étudié un modèle de population halieutique structure en stades. L'accent a été mis sur le bouclage d'un tel modèle, de la reproduction au recrutement dans la phase exploitable. Ce bouclage est réalisé soit explicitement, en modélisant la ponte et le développement des pré-recrutes ; soit grâce a une fonction non autonome très générale entre le stock fécond et le recrutement. Nous avons montré que ces deux approches permettent des comportements plus riches que l'utilisation de relations stock-recrutement classiques. En outre, une étude de stabilité de ces modèles a été menée, par des méthodes issues des systèmes coopératifs et grâce au critère du cercle. Par ailleurs, un système de pêcherie plus complet est présent, sous forme d'un modèle fonctionnel décrivant les étapes intervenant de l'élaboration des stratégies de gestion aux captures. Un modèle global a été retenu pour mener une étude de régulation d'un stock exploite. Nous avons cherché a contrôler la pêche, de manière a réduire les fluctuations de la capture et de l'effort de pêche. Ainsi, on garantit aux pêcheurs des revenus et des couts relativement stables. Deux techniques sont employées: le contrôle optimal pour dégager des tendances sur un stock précis, le flétan du pacifique ; l'approche par domaine invariant, plus robuste et permettant de déterminer des stratégies de gestion admissibles, selon l'état de la pêcherie. Pour plus de vraisemblance, le comportement du pêcheur, dicte par des contraintes de rentabilité, est pris en compte dans la modélisation
On the stock-recruitment relationships in fish population models by Suzanne Touzeau( )

1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide

Comparing Boolean and Piecewise Affine Differential Models for Genetic Networks by Madalena Chaves( )

1 edition published in 2010 in English and held by 2 WorldCat member libraries worldwide

Atteignabilité hybride des systèmes dynamiques continus par analyse par intervalles : application à l'estimation ensembliste by Nacim Meslem( )

1 edition published in 2008 in French and held by 2 WorldCat member libraries worldwide

This thesis addresses the computation of conservative over-approximation of the solutions of uncertain ordinary di erential equations and its application to the estimation and the analysis of uncertain continuous-time dynamical systems. The main feature of the methods and algorithms presented in this thesis is the fact that they are numerically veri ed and hence can be used to obtain numerical proof of properties. This thesis is organized in two parts. The first part is devoted to the mathematical tools and the guaranteed numerical integration methods for uncertain ordinary di erential equations. These methods make it possible to characterize in a guaranteed way all the state trajectories generated by an uncertain dynamical system whose uncertainties are in a natural way described by bounded boxes. Accordingly, we have developed a hybrid integration method which gives better results than the integration methods based on interval Taylor models. The second part is dedicated to the resolution of identi cation and observation issues in a bounded error context. It also deals with continuous reachability computation for the veri cation of the properties of hybrid dynamical systems
Periodic Solutions of Piecewise Affine Gene Network Models with Non Uniform Decay Rates: The Case of a Negative Feedback Loop by Etienne Farcot( )

1 edition published in 2009 in English and held by 2 WorldCat member libraries worldwide

Analyse et contrôle des systèmes dynamiques polynomiaux by Mohamed Amin Ben Sassi( )

1 edition published in 2013 in French and held by 2 WorldCat member libraries worldwide

This thesis presents a study of polynomial dynamical systems motivated by both thewide spectrum of applications of this class (chemical reaction models, electrical modelsand biological models) and the difficulty (or inability) of theoretical resolutionof such systems.In a first preliminary part, we present multivariate polynomials and we introducethe notion of polar form of a polynomial (blossoming) and Bernstein polynomialswhich will be of great interest thereafter.In a second part, we consider the polynomial optimization problem said POP.We first describe existing methods allowing us to solve or approximate the solution5TABLE DES MATI`ERES 6of such problems. Then, we present two linear relaxations based respectively on theblossoming principle and the Bernstein polynomials allowing us to approximate theoptimal value of the POP.The last part of the thesis is devoted to applications of the two relaxation methodsin the context of polynomial dynamical systems. A first application is in thecontext of reachability analysis. In fact, we use our Bernstein relaxation in order tobuild an algorithm allowing us to approximate the reachable sets of a discretizedpolynomial dynamical system. A second application deals with the verification andthe computation of invariants for polynomial dynamical systems. A third applicationconsists in calculating a controller and an invariant for a polynomial dynamicalsystem subject to disturbances. For the invariance problem, we use the relaxationbased on the blossoming principle. Finally, the last application consists in exploitingthe main properties of the polar form in order to study polynomial dynamicalsystems in rectangles
Reduction and Stability Analysis of a Transcription-Translation Model of RNA Polymerase by Ismail Belgacem( )

1 edition published in 2017 in English and held by 2 WorldCat member libraries worldwide

Les cahiers d'EDORA II by Alain Pavé( Book )

3 editions published in 1995 in French and English and held by 2 WorldCat member libraries worldwide

Modélisation mathématique structurée de la croissance cellulaire en chemostat : analyse et estimation by Valérie Lemesle( Book )

2 editions published in 2004 in French and held by 2 WorldCat member libraries worldwide

This thesis deals with the formulation, the analysis of structured model of growth on a chemostat, an experimental device used for microorganisms growth in idealized conditions, and the estimate of non measured variables. After a brief description of the species and the experimental apparatus, we introduce the classical models used for the chemostat and the structured population models with emphasis on cellular division description. The, two models described by ordinary differential equation, modelling the growth and the division, are built and studied. The second part of this thesis deals with the estimate of variables. The observability and observers are introduced. Classical observers are built for structured models described previously. Finally, since in biology a lot of models are badly known, hybrid observers using the measured variables and the knowledge on the model, are built. Other possible applications conclude this thesis
 
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Alternative Names
Jean-Luc Gouzé wetenschapper

Languages
English (20)

French (17)