Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
This information is intended exclusively for students already enrolled in this course.If you are a new student interested in enrolling, you can find information about the course of study on the course page:
Laurea magistrale in Ingegneria e scienze informatiche - Enrollment from 2025/2026The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
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2° Year activated in the A.Y. 2013/2014
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Tre insegnamenti a scelta tra i seguenti
Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
System theory - SISTEMI E SEGNALI (2012/2013)
Teaching code
4S02785
Teacher
Credits
6
Language
Italian
Scientific Disciplinary Sector (SSD)
ING-INF/05 - INFORMATION PROCESSING SYSTEMS
Period
II semestre dal Mar 4, 2013 al Jun 14, 2013.
Learning outcomes
The course objective is to present the material related to dynamical system theory, the specific properties of the sub-class of linear, time invariant systems (LTI(, and the methods to design control algorithms for LTI systems.
The course aims at explaining the analysis and synthesis methods of the "modern" control theory, based on the introduction of concept of state. The course will also present a few advanced topics, such as observability, controllability, state estimation and control, and the general concept of system stability, based on Lyapunov theory.
NOTE: to achieve good results in the course, students are expected to be familiar with the following concepts:
- Algebra and Matrix calculus
- Laplace, Fourier and Zeta transforms
- Basic concepts of analysis of linear systems.
Program
Review of the basic concepts of system analysis:
- Definitions and properties of linear, time invariant (LTI) systems,
- models in time, frequency and "s" and "z" domains,
- the transfer function
- main properties of LTI systems in "t", "f", "s" and "z",
- discrete time systems and Z trasnform
- main properties of feedback systems.
State models:
- AR, MA, ARMA models,
- input-state-output representation,
- definitions of state, causality, algebraic equivalence,
- state and output update map,
- exponential matrix and its properties,
- Jordan canonical form, characteristic polynomial, algebraic and geometric multiplicity,
- modes, their characteristics, simple/asymptotic/BIBO stability,
- Relation between state representation and Laplace and Z transforms,
- Transfer functions, eigenvalues and poles.
Stability in state models:
- equilibrium state,
- stability of an equilibrium state,
- Lyapunov stability criterion,
- Lyapunov equation,
- linearization and reduced Lyapunov criterion.
Reachability:
- main concepts and the reachability Gramian,
- state space control,
- standard form of reachability, canonical control form,
- PBH criterion of reachability,
- state feedback.
Observability:
- main concepts and observability Gramian,
- State estimation (open and closed loop),
- standard form of observability, canonical observation form,
- PBH criterion of observability.
Duality:
- overview of discrete time Kalman filter,
- overview of optimal linear, quadratic controller in discrete time domain.
Examination Methods
The exam will consist of a written test on the course topics.