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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
Fall 2006 Seminars
Presents
An Information Theoretic Viewpoint to
Performance Bounds of Feedback Systems:
Optimality Results and Open Problems
by Nuno Martins
University of Maryland
Friday, October 6th, 2006 3:00 - 4:00 PM Harold Frank Hall 4162
Abstract:
In this seminar, discussion will be based on recent results on universal bounds of performance for
feedback systems.
Using notions, from Information Theory, such as mutual information and (differential) entropy, I characterize
conservation laws that hold under causality, which is a basic attribute of physical systems. In particular, I show
that the differential entropy, induced by external excitation, cannot be reduced by feedback. This principle
is related to Bode's integral formula, originally derived for linear and time-invariant feedback systems. This
analysis extends Bode's ideas to arbitrary feedback, while providing a suitable framework, for considering the
case where a finite-horizon preview, of the external excitation, is available. I also characterize an information flow
inequality that can be used for establishing a universal bound of performance, in the frequency domain. These

  

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

 

Collections: Mathematics