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Università degli Studi di Parma Università degli Studi di Parma
Second cycle degree course in
Computer engineering
Università degli Studi di Parma
Department of Engineering and Architecture

LINEAR MULTIVARIABLE SYSTEMS (UNIT 1)
cod. 1003380

Academic year 2010/11
1° year of course - First semester
Professor
Academic discipline
Automatica (ING-INF/04)
Field
Ingegneria informatica
Type of training activity
Characterising
24 hours
of face-to-face activities
3 credits
hub: -
course unit
in - - -
lectures timetable unavailable
exam calls

Integrated course unit module: LINEAR MULTIVARIABLE SYSTEMS

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Learning objectives

The course module aims at presenting the fundamental concepts for multivariable dynamic systems theory.

Prerequisites

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Course unit content

1. Modeling, algebra and geometry in dynamical systems: Basic concepts of modeling - Introduction to Systems - Vector spaces and linear transformations - Matrix representation and projections - Summary of matrix algebra - Inner product - Orthogonality and orthogonal subspaces - Summary of algebra of subspaces - Eigenvectors and eigenvalues - Decomposition of Schur - Jordan canonical form - Invariant subspaces - Minimal polynomial.
2. Introduction to multivariable systems: The concept of state of a dynamical system – State transition matrix - Equivalent and indistinguishable states- Systems in minimal form – Equilibrium states - Motions and response of a system - Introduction to the concepts of reachability and controllability - Introduction to the concepts of observability and reconstructability.

Full programme

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Bibliography

Pdf slides of the lessons on the web site of the course.
FURTHER READINGS
G. Basile, G. Marro, "Controlled and conditioned invariants in linear system theory", Prentice-Hall, 1992

Teaching methods

Classroom sessions with alternate use of slides and explanations at the blackboard. Discussion and resolution of exercises at the blackboard.

Assessment methods and criteria

Written examination.

Other information

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