5 credits
30.0 h + 22.5 h
Q1
Teacher(s)
Delvenne Jean-Charles coordinator; Dochain Denis;
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.
Aims
At the end of this learning unit, the student is able to : | |
| 1 | Learning outcomes:
More specifically, at the end of the course the student:
Transversal learning outcomes:
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The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
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, with reading of notes by the students previously to the course.
Evaluation methods
Project during the semester, with oral and written report. Written exam.
Online resources
Bibliography
Notes de cours disponibles sur iCampus.
Faculty or entity
MAP
