 
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 1:002:00pm ESB 1001
Abstract:
This talk deals with the problem of how to construct decentralized feedback control laws
used by agents in a twodimensional 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 openloop 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.
