Fiches de cours 2017-2018

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Dynamical system theory for engineers

COM-502

Enseignant(s) :

Thiran Patrick

Langue:

English

Summary

Linear and nonlinear dynamical systems are found in all fields of science and engineering. After a short review of linear system theory, the class will explain and develop the main tools for the qualitative analysis of nonlinear systems, both in discrete-time and continuous-time.

Content

Keywords

Dynamical Systems, Attractors, Equilibrium point, Limit Cycles, Stability, Lyapunov Functions, Bifurcations, Lyapunov exponents.

Learning Prerequisites

Required courses

Recommended courses

Important concepts to start the course

Learning Outcomes

By the end of the course, the student must be able to:

Teaching methods

Expected student activities

Exercises in class and at home (paper and pencil, and Matlab)

Assessment methods

  1. Mid-term 20%
  2. Final exam 80%

Supervision

Office hours Yes
Assistants Yes
Forum Yes

Resources

Bibliography

Course notes; textbooks given as reference on the moodle page of the course.

Notes/Handbook

Course notes, exercises and solutions provided on the moodle page of the course.

Websites
Moodle Link

Prerequisite for

Any class using dynamical systems.

Dans les plans d'études

Semaine de référence

 LuMaMeJeVe
8-9  CM5  
9-10    
10-11  CE1106  
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     
 
      Cours
      Exercice, TP
      Projet, autre

légende

  • Semestre d'automne
  • Session d'hiver
  • Semestre de printemps
  • Session d'été
  • Cours en français
  • Cours en anglais
  • Cours en allemand