GASPARRI ANDREA
(syllabus)
Linear Systems
1. INTRODUCTION TO LINEAR SYSTEMS
1.1. Modelling
1.2. State-Space Representation
2. NONLINEAR SYSTEMS AND LINEARIZATION
2.1. Motivations and Definitions
2.2. Linearization Method
3. DIFFERENTIAL EQUATIONS
3.1. Linear Differential Equations with Constant Coefficients
3.2. Exponential Matrix
3.3. Free Evolution
3.4. Forced Evolution
4. RELATIONSHIP BETWEEN REPRESENTATIONS
4.1. From State-Spate to Transfer Function
4.2. From Transfer Function to State-Spate
5. MODAL DECOMPOSITION
5.1. Eigenvalues and Eigenvectors
5.2. Coordinate Transformation
5.3. Diagonalization and Jordanization
6. STRUCTURAL PROPERTIES
6.1. Controllability and Observability
6.2. Controllability and Observability Kalman Forms
6.3. Kalman Canonical Decomposition
7. REALIZATION AND CANONICAL FORMS
7.1. Realization
7.2. Canonical Forms for Realization
(reference books)
1. An Introduction to Linear Control Systems, Thomas E. Fortmann, Konrad L. Hitz
2. Complementi per il Corso (http://gasparri.dia.uniroma3.it/Stuff/complementi_teoria_dei_sistemi.pdf)
|
Università Roma Tre