Analysis and control of switches and oscillators

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• Fulvio Forni, University of Cambridge
• Wednesday 20 February 2019, 14:00-15:00
• 1109B (CAP seminar room) .

If you have a question about this talk, please contact Giordano Scarciotti.

Abstract: Dominance theory studies high-dimensional systems that have a low-dimensional dominant behaviour. The theory shows that nonlinear systems like switches and oscillators can be studied through linear dissipation inequalities and provides an interconnection theory that closely mimics the classical analysis of stability by means of dissipativity theory. The theory opens novel tractable avenues to study multistability through 1-dominance and limit cycle oscillations through 2-dominance. The seminar will propose a journey through a few classical examples to illustrate the main results of the theory.

For introductory readings, please refer to the papers - Differential dissipativity theory for dominance analysis (Forni, Sepulchre, Transaction on Automatic Control, in press; available on arXiv), first introduction to the topic and interconnection theory; - Analysis of Lur’e dominant systems in the frequency domain (Miranda-Villatoro, Forni, Sepulchre, Automatica, in press; available on arXiv), use of classical frequency domain tools in nonlinear analysis, away from stability of equilibria.

Biography: Fulvio Forni received his Ph.D degree in Computer Science and Control Engineering in 2010 from the University of Rome Tor Vergata, Italy. In 2008-2009 he held visiting positions at the LFCS of the University of Edinburgh, Scotland, UK and at the CCDC of the University of California Santa Barbara (USA). In 2011-2015 he was a Post-doc at the University of Liege, Belgium (FNRS). He is currently Lecturer at the University of Cambridge, UK, and Director of Studies at Newnham College.

This talk is part of the Control and Power Seminars series.

This talk is included in these lists:

• 1109B (CAP seminar room)
• Andrea Picciau's list
• Control and Power Seminars

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