Coursebooks 2017-2018

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Dynamical system theory for engineers

COM-502

Lecturer(s) :

Thiran Patrick

Language:

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.

In the programs

Reference week

 MoTuWeThFr
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     
 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German