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.
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 in continuous time. Some preliminaries on nonlinear systems will be treated at the end of the course.
The course aims to provide the students the necessay methods to build mathematical models fo dynamic systems. On the basis of such tools, the analysis and control of the considered systems will be carried out.
At the 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 controlled in presence of different external stimuli.
Calculus, Algebra, Elements of geometry in the space.
Basic skills of physics, electricity.
Front lessons and solution of exercises.
1) Preliminary definitions
2) Continuous signals and generalized functions
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
Ricevimento: Meets students by appointment Office: v. Opera Pia 13 (PAD E), 3rd floor. Meetings on Teams are possible.
MARCO BAGLIETTO (President)
GIOVANNI INDIVERI
MICHELE AICARDI (President Substitute)
https://corsi.unige.it/9273/p/studenti-orario
SYSTEMS THEORY
Oral examination with solution of exercizes and discussion on theoretical aspects
Starting from the solution of some exercizes, the analysis of the properties of dynamic systems will be discussed using different methods.