Exploiting the Structure of Networks to Determine their Dynamical Behavior
Tues., Oct 20, 2009
2:00 - 3:00 PM
400 Cory (Hughes room)
2:00 - 3:00 PM
400 Cory (Hughes room)
The behavior of various natural and technological networks is dictated by the structure of interactions rather than by detailed properties of the components. This talk will present analysis and design techniques that exploit the network structure while broadly characterizing the components by their essential properties that are relevant to the ensemble behavior. The first technique to be discussed makes use of input/output properties of the components as abstractions of their detailed models to determine network stability. One such input/output property is passivity which will be shown to be well-suited for several physically relevant network structures. The second technique uses a similar input/output approach to study spatial uniformity rather than stability, and is applicable to synchronization and pattern formation problems. The third technique exploits a clustered structure commonly found in networks for a time-scale-based model reduction. The ideas will be illustrated on mathematical models of biomolecular circuits, Internet congestion control, and cooperative vehicle systems.
Bio:
Murat Arcak received his B.S. degree in Electrical Engineering from Bogazici University, Istanbul, Turkey (1996) and M.S. and Ph.D. degrees from the University of California, Santa Barbara (1997 and 2000). Prior to joining Berkeley, he was an Assistant Professor (2001-06) and an Associate Professor (2006-08) at the Rensselaer Polytechnic Institute, Troy, New York. His research is in nonlinear systems and control theory with applications to biological networks, power systems, communication networks, and cooperative robotics. He received a CAREER Award from the National Science Foundation in 2003, the Donald P. Eckman Award from the American Automatic Control Council in 2006, and the Control Systems Theory Prize from the Society for Industrial and Applied Mathematics in 2007.
Bio:
Murat Arcak received his B.S. degree in Electrical Engineering from Bogazici University, Istanbul, Turkey (1996) and M.S. and Ph.D. degrees from the University of California, Santa Barbara (1997 and 2000). Prior to joining Berkeley, he was an Assistant Professor (2001-06) and an Associate Professor (2006-08) at the Rensselaer Polytechnic Institute, Troy, New York. His research is in nonlinear systems and control theory with applications to biological networks, power systems, communication networks, and cooperative robotics. He received a CAREER Award from the National Science Foundation in 2003, the Donald P. Eckman Award from the American Automatic Control Council in 2006, and the Control Systems Theory Prize from the Society for Industrial and Applied Mathematics in 2007.
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Kristen Woyach and Pulkit Grover Last Modification Date: Wednesday, August 19, 2009
Kristen Woyach and Pulkit Grover Last Modification Date: Wednesday, August 19, 2009