Aims

Aims
- To make the students aware of the unifying character of the state space model concept in engineering sciences.
- To introduce the students to the principles of mathematical modelling, and to the methods of dynamical systems analysis.

Main themes

First part : presentation of the modelling principles and methods in various areas of engineering sciences : electricity, mechanics, chemical and biochemical processes, environment.

Second part : presentation of the major methods for the analysis of the structural properties of state space models : state transformations, equilibria, stability and attractors, controllability, singular perturbations.

Content and teaching methods

MODELING
- mechanical, electrical, electromechanical systems
- compartmental systems
- reactional systems
- systematic applications in various areas

ANALYSIS
- state transformations
- equilibria
- qualitative analysis of trajectories in the plane, periodical solutions, limited cycles, bifurcations
- stability analysis : Lyapunov methods
- controllability and stabilisation of linear and nonlinear systems

Other credits in programs