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 information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)

no special information

Programmes in which this activity is taught

Other credits in programs