AIMS AND CONTENT

LEARNING OUTCOMES

Cause and effect principle applied to physical and economic systems. Use of operational methods to solve differential equations. Formal representations and analysis of dynamic systems in the usual forms (external and internal). Definitions and use of structural properties of systems. The concept of feedback.

TEACHING METHODS

Frontal lessons. Classroom exercises.

SYLLABUS/CONTENT

Dynamic systems: types and representations.

Generalized functions. Laplace transform: properties, rules, transformation and antitransformation, time limits theorems.

Calculation of transition function for linear stationary systems represented in SISO external form. Transfer function, impulse response, frequency response. Feddback and the effect on the poles.

Stability: structural, of the impulse response and BIBO.

Internal representation and state variables: calculation of  eAt and of transition function. Varous types of stability.

Definitions of controllability and observability: criteria and conditions. Effects on the structural properties of the blocks connections and of the cancelations. Feedback and structural properties.

RECOMMENDED READING/BIBLIOGRAPHY

Sergio Rinaldi: Teoria dei sistemi, CLUP, Milano

Michele Aicardi: Appunti di Teoria dei sistemi, Genova

Luca Benvenuti, Alberto De Santis, Lorenzo Farina: Sistemi dinamici, McGraw-Hill

TEACHERS AND EXAM BOARD

Exam Board

SIMONA SACONE (President)

RICCARDO MINCIARDI

SILVIA SIRI

LESSONS

Class schedule

THEORY OF SYSTEMS

EXAMS

EXAM DESCRIPTION

Oral examinations.

Exam schedule

FURTHER INFORMATION

Pre-requisites :

Mathematical analysis 1 and 2; Physics; Geometry.