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The Center for Control, Dynamical Systems, and Computation University of California at Santa Barbara
 

Summary: The Center for Control, Dynamical Systems, and Computation
University of California at Santa Barbara
Spring 2008 Seminar Series
Presents
Effect of Topological Dimension on Rigidity of
Vehicle Formations: Fundamental Limitations of
Local Feedback
Bassam Bamieh
University of California, Santa Barbara
Friday, May 9, 2008 3:00-4:00pm Harold Frank Hall 1104
Abstract:
We consider the role of topological dimension in problems of network
consensus and vehicular formations where only local feedback is available.
In particular, we consider the simple network topologies of regular lattices
in 1, 2 and higher dimensions. We address the question of rigidity of such
formations, or in other words, how closely do such formations resemble solid
objects. A common phenomenon appears where in dimensions 1 and 2, rigid
formations are impossible in the presence of any amount of additive stochastic
perturbations, and in the limit of large formations. In dimensions 3 and higher,
tightformationsareindeedpossible!Weshowthatmicroscopicerrormeasures

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics