Phelma Formation 2022

Dynamic systems analysis - VPMDDSA2

  • Number of hours

    • Lectures 7.0
    • Projects 0
    • Tutorials 15.0
    • Internship 0
    • Laboratory works 8.0


    ECTS 6.0


Many physical systems can be modeled by a set of differential equations, involving inputs, outputs, but also the internal state of the system. The objective of this course is to study dynamic systems via this state representation, whether with continuous time or discrete time modeling.

Contact Dawood AL CHANTI


Introduction: Modeling/simulation tools for biological/physical systems
Linear differential equations: resolution, stability, phase portrait
State representation: Commandability vs. Observability
Discrete-time systems
Non-linear systems

The TPs will be done using the xcos/scilab environment.


Basic knowledge of mathematics; Signal processing (Laplace Transform, Z-transform)


Semester 8 - The exam is given in english only 

Written exam (Exam1 , Exam2)
One double-sided handwritten sheet allowed, any other document, not allowed. No telephone is allowed.
Desktop computer allowed for the simulation part.
Access to internet, not allowed.

CC : computer exercice + personal work exercices.

N1 = Exam1 50%, CC 50%
N2 = Exam2 50%, CC 50%

Additional Information

Semester 8 - This course is given in english only EN

Course list
Curriculum->Master->Semester 8


Lathi, B.P. (2005). Principles of linear systems and signals, 2nde edition, Oxford University Press

Degré, Y., Steer, S. (2014). Scilab de la théorie à la pratique, II. Modéliser et simuler avec xcos, Edition D-BookeR

Berger, L. (2014). Scilab de la théorie à la pratique, III. Le traitement du signal, Edition D-BookeR