Modelling and analysis of dynamical systems
[ LINMA2370 ]
5.0 crédits ECTS
30.0 h + 22.5 h
1q
| Teacher(s) |
Delvenne Jean-Charles ;
Dochain Denis (coordinator) ;
|
| Language |
French
|
Place
of the course |
Louvain-la-Neuve
|
| 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.
|
| 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.
|
| Content |
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 |
no special information
|
Cycle et année
d'étude |
> Master [120] in Electro-mechanical Engineering
> Master [120] in Mechanical Engineering
> Master [120] in Biomedical Engineering
> Master [120] in Chemical and Materials Engineering
> Master [120] in Mathematical Engineering
|
Faculty or entity
in charge |
> MAP
|
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