On positive and hybrid systems: Theory and applications
in ottemperanza ai requisiti previsti dalla procedura valutativa per n. 1 posto di Professore di ruolo di I Fascia (SC 09/G1 – SSD ING-INF/04)presso il Dipartimento di Ingegneria Informatica, Automatica e Gestionale “Antonio Ruberti”, codice concorso 2021POR039 del 1/10/2021
Titolo: On positive and hybrid systems: Theory and applications
Abstract: This talk aims to present the efforts and results of the speaker on different research topics, with particular emphasis on the state space realization problem for positive systems and modeling and control of hybrid systems.Positive systems are systems for which the state and the output are always non-negative for any non-negative initial state and input. They are used to model phenomena in which the variables must take non-negative values due to the nature of the underlying physical system. Restricting the state-space realization to positive systems makes the problem extremely different and much more difficult than that for ordinary systems. Indeed, a minimal positive realization may have a dimension even much larger than the order of the transfer function it realizes. Hybrid systems are used in many applicative fields to model and design complex systems having a mixed discrete and continuous behavior that cannot be characterized faithfully using either discrete or continuous models only. They are often used to represent discrete controllers operating in a continuous environment. Some results on formal verification and control design for hybrid systems will be presented
Bio sketch: Luca Benvenuti received his M.Sc. degree in Electrical Engineering and his Ph.D. in Systems Engineering at the Sapienza University of Rome in 1992 and 1996, respectively. He is currently an Associate Professor at the same university. He is the co-recipient of the 2001 CAS Guillemin-Cauer Award for the best paper published in the IEEE Transactions on Circuits and Systems and of the 2005 IFAC Congress Applications Paper Prize for the best application paper at the 16th IFAC World Congress. He was plenary speaker at the Second Multidisciplinary International Symposium on Positive Systems: Theory and Applications, held in Grenoble (France) in 2006. His research interests are in the areas of control of nonlinear systems, analysis, and control of hybrid systems, positive linear systems, and modeling and optimization problems for nutrition.