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Teleseminar on Topological Perplexity – from Buridan’s Donkey to Hybrid Systems

February 28, 2012 @ 3:00 pm - 5:00 pm

CESG Fishbowl Teleseminar

Tuesday, Feb 28, 2012

3:00 PM – 5:00 PM
One hour teleseminar, followed by one hour discussion (Fishbowl-room 333 WERC)

Prof. Yuliy Baryshnikov,
Professor of Mathematics and Electrical and Computing Engineering, University of Illinois at Urbana-Champaign.

Feedback stabilization problems often lead to emergence of “cut interfaces”, where the control is discontinuous – think about navigating to a goal in a room with several obstacles. The ultimate origin of these discontinuities is topological.

This talk aims at presenting some of the underlying notions and basic results. In particular, we introduce the notion of “topological perplexity”, a measure of the complexity of the cuts, and argue that it is naturally bounded from below by quantfiable mismatch between the topologies of the configuration space and the targeted trajectory.

No preliminary notions from topology will be assumed.

 

Details

Date:
February 28, 2012
Time:
3:00 pm - 5:00 pm