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Partial Difference Equations: a Framework for Coordination Analysis in Multiple Agents Formations

We introduce the framework of Partial difference Equations (PdEs) over graphs for analyzing the behavior of mobile agents formations equipped with decentralized control schemes. PdEs mimic Partial Differential Equations (PDEs) on graphs and can be studied by introducing functional analysis concepts strongly inspired to the corresponding ones arising in PDEs theory. Different formation models will be considered and agent coordination will be analyzed through the joint use of PdEs and automatic control tools. For the simplest control schemes, it will be shown that the resulting PdEs enjoy properties completely analogous to those of well-known PDEs like the heat equation, thus allowing to exploit physical-based reasoning for conjecturing formation properties.
Type of Seminar:
Public Seminar
Dr. GianCarlo Ferrari-Trecate
INRIA, France
Jun 23, 2004   

ETH-Zentrum, ETZ E6, Gloriastrasse 35, 8006 Zurich
Contact Person:

Prof. M. Morari
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Biographical Sketch:
Giancarlo Ferrari Trecate was born in Casorate Primo, Italy, in 1970. He received the "Laurea" degree in Computer Engineering in 1995 and the Ph.D. degree in Electronic and Computer Engineering in 1999, both from the University of Pavia. In spring 1998 he was visiting researcher at the Neural Computing Research Group, University of Birmingham, UK. In fall 1998 he joined the Automatic Control Laboratory at ETH (Zurich, Switzerland) as a postdoctoral fellow. In 1999 he won the grant ``assegno di ricerca'' at the University of Pavia and in 2000 he was appointed Oberassistent at ETH. Currently, he works at INRIA (Rocquencourt, France) as a senior researcher. His research interests include hybrid systems, distributed and decentralized control, modeling and analysis of biological cell networks and Bayesian learning.