Exotic Configuration Spaces and Swarm ControlDate: 2014-01-15
Time: 3 p.m.
Location: Holmes Hall 389
Speaker: Yuliy Baryshnikov, Professor, University of Illinois at Urbana-Champaign
Configuration spaces in topology are defined by simple exclusion conditions, as sets of tuples of pairwise different points. This is a very convenient model to set up basic questions of control theory for the swarms of autonomous agent subject to non-collision constraints.
Yuliy Baryshnikov will describe how the topology of these spaces impacts the complexity of the feedback stabilization, and how to extract the relevant topological information in some rather general settings.
Yuliy Baryshnikov grew up in Moscow, then in Soviet Union, and got his PhD in applied mathematics, from Institute of Control Sciences in Moscow, in 1987. He spent his Humboldt Research Fellowship University of Osnabruck in Germany, and then worked as a faculty member in the Netherlands, UK and France, before joining Bell Labs in Murray Hill, NJ in 2001. In 2011 he resigned from his position as a department head there and moved West, to become professor of mathematics and electrical and computer engineering at the University of Illinois at Urbana-Champaign.
His research interests include probability theory, singularities, dynamical systems, combinatorics. Among applied areas his favorites are sensor networks, nonlinear control, mathematical economics, self-assembly.