5.00 credits
30.0 h + 22.5 h
Q1
Teacher(s)
Delvenne Jean-Charles;
Language
English
Prerequisites
Basic calculus and linear algebra, such as taught in LFSAB1101 (Mathématiques I) et LFSAB1102 (Mathématiques II)
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.
Learning outcomes
At the end of this learning unit, the student is able to : | |
| 1 |
Learning outcomes:
|
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
Teaching methods
Ex cathedra, and reading by the students of the documents provided to them
Evaluation methods
The project during the semester amounts to 25% of the final grade (in Jan and in Aug). The (written and sometimes oral, depending on the circumstances) exam amounts to 75% of the final grade.
Online resources
Moodle page of the course
Teaching materials
- Documents disponibles sur Moodle. Documents available on Moodle.
Faculty or entity
MAP
