Overall Objectives
Scientific Foundations
Application Domains
New Results
Other Grants and Activities


Major publications by the team in recent years

F. Campillo, M. Klepstyna, A. Piatnitski.
Homogenization of random parabolic operator with large potential, in: Stochastic Processes and Their Applications, 2001, vol. 93, p. 57-85.
F. Campillo, Y. Kutoyants, F. L. Gland.
Small Noise Asymptotics of the GLR Test for Off-Line Change Detection in Misspecified Diffusion Processes, in: Stochastics and Stochastics Reports, 2000, vol. 70, no 1–2, p. 109–129.
J.-L. Gouzé, A. Rapaport, Z. Hadj-Sadok.
Interval observers for uncertain biological systems, in: Ecological Modelling, 2000, vol. 133, no 1, p. 45–561.
J. Harmand, A. Rapaport, F. Mazenc.
Output tracking of continuous bioreactors through recirculation and by-pass, in: Automatica, 2006, vol. 42, no 6, p. 1025–1032.
C. Lobry, F. Mazenc, A. Rapaport.
Persistence in ecological models of competition for a single resource, in: Comptes Rendus de l'Académie des Sciences, Série Mathématiques, 2005, vol. 340, p. 199–204.
P. Loisel, J. Harmand, O. Zemb, E. Latrille, C. Lobry, J. Delgenès, J. Godon.
DGE and SSCP molecular fingerprintings revisited by simulation and used as a tool to measure microbial diversity, in: Environmental Microbiology, 2006, vol. 8, no 4, p. 720–731.
F. Mazenc, D. Nesic.
Strong Lyapunov functions for systems satisfying the conditions of La Salle, in: IEEE Trans. Aut. Contr., 2004, vol. 49, no 6, p. 1026–1030.
F. Mazenc, D. Nesic.
Lyapunov functions for time-varying systems satisfying generalized conditions of Matrosov theorem, in: Mathematics of Control, Signals and Systems, 2007, vol. 19, no 2, p. 151–182.

Publications of the year

Doctoral dissertations and Habilitation theses

F. Mazenc.
Analyse de stabilité et commande de systèmes non linéaires, Habilitation à Diriger des Recherches, Université Montpellier II, 2007.

Articles in refereed journals and book chapters

D. Deschrijver, B. Haegeman, T. Dhaene.
Orthogonal Vector Fitting: A robust macromodeling tool for rational approximation of frequency domain responses, in: IEEE Transactions on Advanced Packaging, 2007, vol. 30, p. 216–225.
R. Francisco, F. Mazenc, S. Mondié.
Global Asymptotic Stabilization of a PVTOL Aircraft Model with Delay in the Input, in: Lecture Notes in Computer and Information Science, Applications of Time Delay Systems (Editors: Nelson Chiasson, John and Loiseau, Jean-Jacques), 2007, vol. 352, p. 343–356.
F. Grognard, F. Mazenc, A. Rapaport.
Polytopic Lyapunov Functions for the Stability Analysis of Interconnected Scalar Systems, in: Discrete and Continuous Dynamical Systems-Series B, 2007, vol. 8, no 1.
B. Haegeman, C. Lobry, J. Harmand.
Modeling bacteria flocculation as density-dependent growth, in: American Institute of Chemical Engineering Journal, 2007, vol. 53, no 2, p. 535–539.
J. Harmand, J.-J. Godon.
Density-dependent kinetics models for a simple description of complex phenomena in macroscopic mass-balance modeling of bioreactors, in: Ecological modelling, 2007, vol. 200, no 3, p. 393–402.
C. Lobry, F. Mazenc.
Effect of persistence of intra-specific competition in competition models, in: Electronic Journal of Differential Equations, 2007, vol. 2007, no 125, p. 1–10.
F. Mazenc, C. Lobry, A. Rapaport.
Persistence in Ratio-Dependent models of Consumer-Resource Dynamics, in: Electronic Journal of Differential Equations, 2007, vol. Conf. 15, p. 211–220.
F. Mazenc, M. Malisoff.
Lyapunov Function Constructions for Slowly Time-Varying Systems, in: MCSS, 2007, vol. 19, no 1, p. 1–21.
F. Mazenc, M. Malisoff, P. De Leenheer.
On the stability of periodic solutions in the perturbed chemostat, in: Mathematical Biosciences and Engineering, 2007, vol. 4, no 2, p. 319–338.
F. Mazenc, D. Nesic.
Lyapunov functions for time-varying systems satisfying generalized conditions of Matrosov theorem, in: MCSS Mathematics of Control, Signals and Systems, 2007, vol. 19, no 2, p. 151–182.
A. Rapaport, P. Cartigny.
Nonturnpike Optimal Solutions and Their Approximations in Infinite Horizon, in: Journal of Optimization, Theory and Applications, 2007, vol. 134, no 1, p. 1–14.
J.-P. Treuil, C. Lobry, C. Millier, J.-P. Muller, D. Hervé.
De l'équation mathématique au programme informatique, dialogue entre mathématiciens et informaticiens, in: Natures, Science et Sociétés, 2007, vol. 15, p. 33–43.
O. Zemb, B. Haegeman, J.-P. Delgenès, P. Lebaron, J.-J. Godon.
SAFUM: Statistical analysis of SSCP fingerprints using PCA projections, dendrograms and diversity estimators, in: Molecular Ecology Notes, 2007, vol. 7, p. 767–700.

Publications in Conferences and Workshops

F. Campillo, G. Canales, L. Mevel.
Particle based confidence intervals, in: International Operational Modal Analysis Conference (IOMAC), Copenhagen, 2007.
F. Campillo, R. Rakotozafy, V. Rossi.
Bayesian numerical inference for hidden Markov models, in: Colloque International de Statistique Appliquée pour le Développement en Afrique International Conference on Applied Statistics for Development in Africa Sada'07, 2007.
F. Campillo, R. Rakotozafy, V. Rossi.
Bayesian numerical inference for Markovian models - Application to tropical forest dynamics, in: International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources, Granada, Spain, 2007.
J. Harmand, D. Dochain, D. Mazouni.
Optimization of Sequencing Batch (Bio)Reactors - Open problems, Computers in Applied Biotechnology, in: 10th International IFAC Symposium on Computer Applications in Biotechnology Biosystems Engineering for Bioprocesses June 4-6, 2007 Cancún, Mexico, 2007.
N. Mabrouk, G. Deffuant, C. Lobry.
Confronting macro, meso and micro scale modelling of bacteria dynamics, in: M2M 2007, Third International Model-to-Model Workshop, Marseille, France, 2007.
N. Mabrouk, G. Deffuant, C. Lobry.
Individual-based model of bacteria mobility in biofilms, in: European Conference on Complex Systems - Dresden, 2007.
F. Mazenc, J. Harmand, M. Malisoff.
Stabilization of a Periodic Trajectory for a Chemostat with two species, in: American Control Conference, New York, 2007.
F. Mazenc, M. Malisoff, J. Harmand.
Stabilization and Robustness Analysis for a Chemostat Model with Two Species and Monod Growth Rates via a Lyapunov Approach, in: 46th IEEE Conference on decision and control, New Orleans, 2007.
F. Mazenc, M. Malisoff, Z. Lin.
Further Results on Input-to-State Stability for Nonlinear Systems with Delayed Feedbacks, in: American Control Conference 2007, New York, 2007.
A. Rapaport, P. Gajardo, H. Ramirez.
About minimal time impulsive control of sequential batch reactors with several species, in: American Control Conference (ACC), New-York, USA, 2007.
A. Rapaport, J. Harmand, F. Mazenc.
Design of Continuous Bioprocesses and Biodiversity, in: American Control Conference, New York, 2007.


M. Denis.
Analyse bayésienne de modèles d'évolution de ressources naturelles, 2007, Master Recherche Biostatistiques Université de Montpellier II.
D. Dochain, J. Harmand, A. Rapaport.
Practical coexistence in a chemostat with arbitrarily closed growth functionsConférence en l'honneur de C. Lobry, Saint-Louis du Sénégal, 2007.
M. Dumont, J. Harmand, A. Rapaport, J. Godon.
De la modélisation des écosystèmes microbiens. Entre hypothèses simples et réalités complexesCongrès annuel de l'Association Francophone d'Ecologie Microbienne, La Grande Motte, 2007.
R. Limouzin.
Commande optimale et méthode d'approximation par régularisation. Application à un problème de dépollution dans un biorécateur, 2007, Rapport de stage scientifique de l'Ecole Nationale Supérieure des Ponts et chaussées.
C. Lobry, J. Harmand, A. Rapaport.
La modélisation des procédés biologiques de dépollutionInterstice, 2007.
N. Mabrouk, G. Deffuant, C. Lobry.
Population balance versus spatially explicit modelling of flock-forming bacteria dynamicsInternational Conference StatPhys - Genova, 2007.
A. Rapaport, J. Harmand, C. Lobry, F. Mazenc, B. Haegeman, D. Dochain.
Microbial ecology and bioprocesses control: opportunities and challenges (Keynote)10th Computer Applications in Biotechnology (CAB), Cancun, Mexico, 2007.

References in notes

A. Doucet, N. de Freitas, N. J. Gordon (editors)
Sequential Monte Carlo Methods in Practice, Springer Verlag , New York, 2001.
H. S. Chang, M. Fu, J. Hu, S. I. Marcus.
A Survey of Some Simulation-Based Algorithms for Markov Decision Processes, in: Communications in Information and Systems, 2007, vol. 7, no 1, p. 59-92.
P. Del Moral.
Feynman-Kac formulae – Genealogical and interacting particle approximations, Springer Verlag , New York, 2004.
M. Duflo.
Algorithmes Stochastiques, Mathématiques & Applications, Springer Verlag , Paris, 1996, vol. 23.
J. S. Liu.
Monte Carlo Strategies in Scientific Computing, Springer Verlag , New York, 2001.
S. Meyn, R. Tweedie.
Markov Chains and Stochastic Stability, Springer-Verlag, 1993.
C. P. Robert, G. Casella.
Monte Carlo Statistical Methods, 2nd, Springer Verlag , Berlin, 2004.
M. A. Tanner.
Tools for Statistical Inference. Methods for the Exploration of Posteriors and Likelihoods Functions, 3rd ed. 1996. Corr. 2nd printing edition, Springer Verlag , Berlin, 1998.