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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
Winter 2008 Seminar Series
Presents
Control of Systems Over Finite Alphabets
Danielle Tarraf
California Institute of Technology
Friday, February 8, 2008 3:00pm Harold Frank Hall 1104
Abstract:
This talk presents a systematic and computationally tractable approach
for control of systems over finite alphabets; that is, discrete-time systems
whose input and output signals take their values in finite sets. The ap-
proach, inspired from classical robust control, hinges on the use of ap-
proximate finite state models of the original system for synthesis of certified
controllers. The talk presents the various components of this approach,
namely: A generalized small gain theorem for robust performance verifica-
tion, algorithms for constructing approximate finite state models of systems
over finite alphabets, algorithms for computing error bounds that quantify
the quality of the approximation in a useable way, and a procedure for syn-
thesizing finite state controllers that are robust to approximation errors.

  

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

 

Collections: Mathematics