Design and Modeling of Networked Dynamical Systems with Strategic Interactions
Mar 13, 2013
from 11:00 AM to 12:30 PM
|Where||Engr. IV Bldg., Shannon Room 54-134|
|Contact Name||Prof. Paulo Tabuada|
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University of Illinois, Urbana-Champaign
Complex networked dynamical systems are widespread in a variety of disciplines including engineering systems (e.g., oscillator synchronization, distributed robotic networks, electric power systems, and internet), biological systems (e.g. swarming and animal groupings), as well as social and economic networks. In this talk, I present some of the challenges in the design and analysis of these systems from a systems and control perspective. The focus of the first part of the talk will be on characterizing fundamental limitations that unidirectional information structures impose on the convergence properties of the continuous-time consensus-based distributed optimization dynamics. I introduce an alternative distributed dynamics which is guaranteed to converge, on any strongly connected weight-balanced digraph, to the set of minimizers of a sum of convex differentiable functions with globally Lipschitz gradients. In the second part of the talk, I introduce new classes of strategic (rather than just cooperative) networked dynamical systems, including scenarios in which two networks of agents have opposing objectives with regards to the optimization of a common objective function. I will explain how strategic interactions are present in many distributed scenarios and will enrich the class of complex networked dynamical systems we can design. The technical approach combines tools from algebraic graph theory, nonsmooth analysis, set-valued dynamical systems, and game theory.
Bahman Gharesifard is a Postdoctoral Research Associate with the Coordinated Science Laboratory (CSL) at the University of Illinois, Urbana-Champaign. Prior to joining CSL he was a Postdoctoral Researcher at the Cymer Center for Controls and Dynamics at the University of California in San Diego (2009-2012). He received a PhD degree in Mathematics from Queen's University, Canada, in 2009. His research interests include systems and controls, autonomy, distributed optimization, sensor networks, social and economic networks, game theory, geometric control and mechanics, and Riemannian geometry.