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Ingegneria Informatica/Computer engineering (Academic Year 2007-2008)

Introduction to System theory



Exercises

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Lesson n.1: Definition of Dynamical System

n. 1.1 -
Self evaluation  (A.Y. 2008-2009)
Lesson n.2: The Class of Systems under study

n. 2.1 -
Self evaluation  (A.Y. 2008-2009)
Lesson n.3: An introduction to the methodologies

Lesson n.4: Approximate representations

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

Lesson n.6: The transition matrix

Lesson n.7: Free modes for continuous time systems

n. 7.1 -
Self evaluation  (A.Y. 2008-2009)
Lesson n.8: Discrete time systems: time domain analysis

n. 8.1 -
Self evaluation  (A.Y. 2008-2009)
Lesson n.9: The Laplace Transform in the study of continuous time systems

n. 9.1 -
Self evaluation  (A.Y. 2008-2009)
Lesson n.10: The steady state response and the frequency behavior

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

n. 11.1 -
Self evaluation  (A.Y. 2008-2009)
Lesson n.12: Bode Diagrams

n. 12.1 -
Self evaluation  (A.Y. 2008-2009)
Lesson n.13: The Zeta transform in the study of discrete time systems

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

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

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

Lesson n.17: Further issues on the state representation

Lesson n.18: Stability: definitions and conditions

Lesson n.19: Internal Stability for linear systems

Lesson n.20: Lyapunov methods for the stability analysis

Lesson n.21: Structural properties: reachability and observability

Lesson n.22: Kalman decomposition

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

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

Lesson n.25: A synthesis