CODE 80150 2022/2023 9 cfu anno 2 INGEGNERIA BIOMEDICA 8713 (L-8) - GENOVA 9 cfu anno 2 INGEGNERIA INFORMATICA 8719 (L-8) - GENOVA ING-INF/04 Italian GENOVA Annual Per sostenere l'esame di questo insegnamento è necessario aver sostenuto i seguenti esami: Biomedical Engineering 8713 (coorte 2021/2022) GEOMETRY 80589 2021 MATHEMATICAL ANALYSIS 84362 2021 Questo insegnamento è propedeutico per gli insegnamenti: Biomedical Engineering 8713 (coorte 2021/2022) SYSTEMS' THEORY 80150 2021 Biomedical Engineering 8713 (coorte 2021/2022) SYSTEMS' THEORY 80150 2021 AULAWEB

## OVERVIEW

Systems' Theory is one of the first discipline where mathematical and real aspects of engineering meet. Different skills are integrated to build and analyze mathematical models representing actual systems, in order to understand, foresee and control their behaviour.

## AIMS AND CONTENT

### LEARNING OUTCOMES

The course aim to the modelling and understanding the behaviour of dynamic systems. Both time domain and tranfer matrices methods will be used for linear and stationary systems, either for continuous time and for discrete time cases. Some on nonlinear systems will be said at the end of the course.

### AIMS AND LEARNING OUTCOMES

The course aims to provide the students the necessay methods to build mathematica models fo dynamic systems. On the basis of such tools, the analysis and control of the considered systems will be carried out.

Atthe end of the course, the student will be able to model and analyze in different situations 'real systems' and determine if and how the  behaviour of such systems can be controlle din presence of different external stimuli.

### PREREQUISITES

Are required basik skills in Calculus, Algebra, Elements of geometry in the space, physics, electricity.

The formal prerequisite requirements are only for the sudents in Biomedical Engineering. No formal prerequisite is required to the students in Computer Engineering

### TEACHING METHODS

Front lessons with solved exercises. Depending on the pandemic situation lessons may be taught in blended modality and/or with the availability of videolessons

### SYLLABUS/CONTENT

1) Preliminary definitions

2) Continuous signals

3) Laplace Transform

4) State equations of linear stationary siystems

5) Stability

6) Reachability

7) Observability

8) Input-Output characteristics

9) Systems' interconnection

10) Models and analysis of nonlinear systems

• Notes on the course: URL: TEORIA DEI SISTEM: https://dibris.aulaweb.unige.it/
• Rinaldi Piccardi: I sistemi lineari: teoria ed applicazioni. CLUP
• Bolzern, Scattolini, Schiavoni: Fondamenti di Controlli Automatici, McGraw Hill
• Collana Schaum: Regolazione Automatica
• Schaum Outlines: Feedback and Control Systems
• Antsaklis Michell: Linear Systems

## TEACHERS AND EXAM BOARD

### Exam Board

MICHELE AICARDI (President)

GIOVANNI INDIVERI

MARCO BAGLIETTO (President Substitute)

## LESSONS

### LESSONS START

https://corsi.unige.it/8719/p/studenti-orario

SYSTEMS' THEORY

## EXAMS

### EXAM DESCRIPTION

Oral examination. Students with learning disorders ("disturbi specifici di apprendimento", DSA) will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities.

### ASSESSMENT METHODS

Analysis of the properties of a dynamic system. Starting from an exercise students are required to show theircomprehension about the behavior of dynamical systems and the characterizing  properties.

### Exam schedule

Data Ora Luogo Degree type Note
18/01/2023 09:00 GENOVA Orale
06/02/2023 09:00 GENOVA Orale
05/06/2023 09:00 GENOVA Orale
19/06/2023 09:00 GENOVA Orale
05/07/2023 09:00 GENOVA Orale
20/07/2023 09:00 GENOVA Orale
12/09/2023 09:00 GENOVA Orale