Modelling and analysis of dynamical systems
[INMA2370]
[30h + 22.5h] 5 credits
This course is taught in the 1st semester.
Teacher(s): Georges Bastin
Language: French
Level: Second
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
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
- 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, ...)