Risorse bibliografiche
 Risorsa bibliografica obbligatoria Risorsa bibliografica facoltativa
 Scheda Riassuntiva
 Anno Accademico 2014/2015 Scuola Scuola di Ingegneria Industriale e dell'Informazione Insegnamento 094172 - SYSTEMS THEORY (NONLINEAR DYNAMICS) Docente Dercole Fabio Cfu 5.00 Tipo insegnamento Monodisciplinare

Corso di Studi Codice Piano di Studio preventivamente approvato Da (compreso) A (escluso) Insegnamento
Ing Ind - Inf (Mag.)(ord. 270) - MI (424) INGEGNERIA NUCLEARE* AZZZZ094172 - SYSTEMS THEORY (NONLINEAR DYNAMICS)
Ing Ind - Inf (Mag.)(ord. 270) - MI (436) INGEGNERIA DELL'AUTOMAZIONE* AZZZZ094172 - SYSTEMS THEORY (NONLINEAR DYNAMICS)
Ing Ind - Inf (Mag.)(ord. 270) - MI (473) AUTOMATION AND CONTROL ENGINEERING - INGEGNERIA DELL'AUTOMAZIONE* AZZZZ094172 - SYSTEMS THEORY (NONLINEAR DYNAMICS)

 Programma dettagliato e risultati di apprendimento attesi
 Systems theory (nonlinear dynamics) – 5 cfu   Master of Science (“Laurea magistrale”) in Automation and Control Engineering School of Industrial and Information Engineering – Leonardo Campus     Aims and learning outcomes The course illustrates methods for the theoretical and numerical analysis of nonlinear dynamical systems and their application to case studies in the field of automation engineering. The focus is on the use of nonlinear systems theory, in particular bifurcation analysis, to classify the behaviours of the system and to understand the critical transitions occurring when some model or control parameters are varied. To this aim, the main bifurcations occurring in nonlinear systems are discussed in detail and illustrated first on simple examples and then, with the help of tools for numerical analysis, on case studies. A few bifurcations occurring in non-smooth systems (e.g., systems with impacts or switches) are also considered.   Syllabus Topic 1: Asymptotic behavior of dynamical systems: equilibria, cycles, tori, chaos. Multi-stability. Topic 2: Parameterized systems and structural stability. Bifurcations of equilibria and cycles. Robustness analysis. Hysteresis and catastrophes. Transitions from periodic to aperiodic oscillations. Topic 3:Discontinuous (non-smooth) systems: dynamical properties and bifurcations. Topic 4:Fundamentals of numerical bifurcation analysis: continuation methods. Topic 5:Case studies: Application to power systems, vehicle dynamics, and spacecrafts attitude analysis.   Course organization and final assessment The course is organized in: lectures: the theoretical notions are presented and illustrated with the help of simple examples and exercises; seminars: case studies are introduced and discussed; computer labs: standard software for numerical bifurcation analysis is used for analyzing examples and case studies.   The final assessment consists in a written exam (possibly replaced by a specific project).   Bibliography Suggested textbooks are: S.H. Strogatz, Nonlinear Dynamics and Chaos, Addison-Wesley, 1994 K. T. Alligood, T.D. Sauer, J.A. Yorke, Chaos - An Introduction to Dynamical Systems, Springer, 1996 Lecture notes will be made available to students, as well as scientific papers on specific topics and case studies.

 Note Sulla Modalità di valutazione
 Course organization and final assessment The course is organized in: lectures: the theoretical notions are presented and illustrated with the help of simple examples and exercises; seminars: case studies are introduced and discussed; computer labs: standard software for numerical bifurcation analysis is used for analyzing examples and case studies.   The final assessment consists in a written exam (possibly replaced by a specific project).

 Bibliografia
 S.H. Strogatz, Nonlinear Dynamics and Chaos, Editore: Addison-Wesley, Anno edizione: 1994 K. T. Alligood, T.D. Sauer, J.A. Yorke, Chaos -An Introduction to Dynamical Systems, Editore: Springer, Anno edizione: 1996

 Mix Forme Didattiche
Tipo Forma Didattica Ore didattiche
lezione
30.0
esercitazione
16.0
laboratorio informatico
6.0
laboratorio sperimentale
0.0
progetto
0.0
laboratorio di progetto
0.0

 Informazioni in lingua inglese a supporto dell'internazionalizzazione
 Insegnamento erogato in lingua Inglese Disponibilità di materiale didattico/slides in lingua inglese Disponibilità di libri di testo/bibliografia in lingua inglese Possibilità di sostenere l'esame in lingua inglese Disponibilità di supporto didattico in lingua inglese
 schedaincarico v. 1.6.5 / 1.6.5 Area Servizi ICT 19/09/2020