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Génie Informatique (Academic Year 2008-2009)

Introduction to System theory



Exercices

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Leçon n.1: Definition of Dynamical System

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Self evaluation  (A.Y. 2008-2009)
Leçon n.2: The Class of Systems under study

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Self evaluation  (A.Y. 2008-2009)
Leçon n.3: An introduction to the methodologies

Leçon n.4: Approximate representations

Leçon n.5: Linear representations: Analysis in the time domain

Leçon n.6: The transition matrix

Leçon n.7: Free modes for continuous time systems

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Self evaluation  (A.Y. 2008-2009)
Leçon n.8: Discrete time systems: time domain analysis

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Self evaluation  (A.Y. 2008-2009)
Leçon n.9: The Laplace Transform in the study of continuous time systems

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Self evaluation  (A.Y. 2008-2009)
Leçon n.10: The steady state response and the frequency behavior

Leçon n.11: Analysis in the complex domain for continuous time systems

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Self evaluation  (A.Y. 2008-2009)
Leçon n.12: Bode Diagrams

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Self evaluation  (A.Y. 2008-2009)
Leçon n.13: The Zeta transform in the study of discrete time systems

Leçon n.14: Analysis in the complex domain for discrete time systems

Leçon n.15: Analysis in the complex domain: the general case

Leçon n.16: From the input-output model to the state representation

Leçon n.17: Further issues on the state representation

Leçon n.18: Stability: definitions and conditions

Leçon n.19: Internal Stability for linear systems

Leçon n.20: Lyapunov methods for the stability analysis

Leçon n.21: Structural properties: reachability and observability

Leçon n.22: Kalman decomposition

Leçon n.23: Interconnected systems: elementary connections and their properties

Leçon n.24: Interconnected systems: on the computation of the associated transfer function and state representation

Leçon n.25: A synthesis