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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 2008 Seminar Series
Presents
Solution of a distributed linear system stabilisation
problem
Brian Anderson
Australian National University
Thursday, October 2, 2008 1:00-2:00pm ESB 1001
Abstract:
This talk deals with the problem of how to construct decentralized feedback control laws
used by agents in a two-dimensional formation, where the shape of the formation is to
be preserved through a sufficient number of agent pairs each maintaining a prescribed
separation, and the open-loop system may be unstable. Only one agent of an agent pair
is responsible for the maintenance of the separation, the other agent being unconscious
of that control objective. A linearized or small signal version of the problem comes down
to an unusual linear systems problem. Given a real square matrix A, when is there a
real diagonal matrix such that A has all its eigenvalues with negative real part, and
how may such a matrix be constructed? The diagonal matrix in effect constitutes a set
of controller gains.

  

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

 

Collections: Mathematics