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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
Information Flows in Cooperative Networked
Control Systems
Girish Nair
University of Melbourne, Australia
Thursday, June 19, 2008 2:00-3:00pm ESB 2001
Abstract:
The control-theoretic equivalent of Ahlswede et. al's network information theory is
the problem of determining the rates at which information must flow between con-
trol system components in order to be able to cooperatively achieve closed loop
stability. This talk considers the case of a linear, time-invariant plant with multiple
sensors and actuators that communicate with each other over a network of direc-
tional digital channels with finite bit rates. A necessary and almost sufficient condi-
tion for determining uniform stabilizability is derived, in terms of the feasibility of a
set of linear inequalities in the unstable eigenvalues of the plant and the bit rates
of the channels. This provides an exact characterization, up to boundary points,
of the region of all stabilizing channel bit rate vectors. The auxiliary variables in

  

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

 

Collections: Mathematics