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Lei Guo: Synchronization and Intervention in Flocks with Large Population

Time: Fri 2014-11-21 11.15

Location: Room V2, Teknikringen 76, KTH

Participating: Lei Guo, The Chinese Academy of Science

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A fundamental issue in complex systems theory is to understand how locally interacting agents (or particles) leads to global behaviors (or structures) of the systems. Such problems arise naturally from diverse fields ranging from material and life sciences to social and engineering systems, and have attracted much research attention in recent years. In this lecture, we will focus on the synchronization problem of a basic class of non-equilibrium multi-agent systems (or flocks) described by the well-known Vicsek model. By working in a stochastic framework and by overcoming the widely recognized theoretical difficulty---- establishing some kind of dynamical connectivity needed for guaranteeing synchronization of the flocks, we are able to provide a rigorous and fairly complete theory for synchronization of flocks with large population. The main theorems are established based on analyses of the nonlinear dynamical equations involved and of the asymptotic properties of the spectrum of random geometric graphs. Furthermore, we will show how the global behaviors of the flocks may be intervened by using the “soft control” idea, without changing the existing interaction rules of the agents.

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