Modelling and analysis of dynamical systems

linma2370  2020-2021  Louvain-la-Neuve

Modelling and analysis of dynamical systems
Due to the COVID-19 crisis, the information below is subject to change, in particular that concerning the teaching mode (presential, distance or in a comodal or hybrid format).
5 credits
30.0 h + 22.5 h
Delvenne Jean-Charles (coordinator); Dochain Denis;
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.

At the end of this learning unit, the student is able to :

1 Learning outcomes:
  • AA1 : 1,2,3
  • AA4 : 1,2,3,4  
  • AA5 : 2,3,5,6       
More specifically, at the end of the course the student:
  • will be aware of the unifying character of the state space model concept in engineering sciences.
  • will be able to model a wide span of situations encountered in diverse engineering sciences
  • will be able to analyze the properties of those dynamical systems defined on a state space
Transversal learning outcomes:
  • Using Matlab and Simulink for the modelling and simulation of dynamical systems.
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

Due to the COVID-19 crisis, the information in this section is particularly likely to change.

Ex cathedra, and reading by the students of the documents provided to them
Evaluation methods

Due to the COVID-19 crisis, the information in this section is particularly likely to change.

Project during the semester. Written exam.
Online resources
Moodle page of the course
Teaching materials
  • Documents disponibles sur Moodle. Documents available on Moodle.
Faculty or entity
Force majeure
Evaluation methods
The exam is written, on site. An exam of adapted form will be proposed to the students with a valid quarantine certificate or a 'formulaire retour' from the Foreign Office, if the teacher (Jean-Charles Delvenne) is warned asap and in any case before the main exam. This alternative exam will cover the same topics as the main exam, and will be organised in a form compatible with the situation of the student.

Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme
Master [120] in Electro-mechanical Engineering

Master [120] in Mathematical Engineering

Master [120] in Biomedical Engineering