The MODESTY team is interested in system modelling, estimation and analysis of dynamical systems. The main theoretical axes are identification, observation, stability and delays, with a particular interest in applications to life sciences.

Research subjects:
Modelling, Model reduction, Identification, Estimation and observation, Stability and stabilisability, Synchronisation, Infinite-dimensional systems, Time delay systems, Fractional systems, Structural properties, Fault detection

Identification and Observation

Interval and/or finite time observation for linear or nonlinear systems with the objective of finite time convergence or using sampled data measurements.

Stability and synchronization of nonlinear systems

Stability and robustness analysis of an equilibrium point or a set.
Estimation of the region of attraction
Analysis of periodic trajectories or limit cycles.

Time delay systems

Analysis of stability and stabilisability of nonlinear systems with delays using different techniques.
Analysis of the stability/stabilisation of fractional systems with delays,
Study of the roots of quasi-polynomial functions.

Applications to life sciences

Observation and control of bioprocesses
Estimation of specific growth rates for anaerobic digestion models
Modelling and control for cancer, in particular for acute myeloblastic leukaemia.