Jorge Cortés
Professor
Cymer Corporation Endowed Chair
When does a digraph admit a doubly stochastic adjacency matrix?
B. Gharesifard, J. Cortés
Proceedings of the American Control
Conference, Baltimore, Maryland, 2010, pp. 2440-2445
Abstract
Digraphs with doubly stochastic adjacency matrices play
an essential role in a variety of cooperative control
problems including distributed averaging and
optimization. In this paper, we fully characterize the
class of digraphs that admit an edge weight assignment
that makes the digraph adjacency matrix doubly
stochastic. As a by-product of our approach, we also
unveil the connection between weight-balanced and doubly
stochastic adjacency matrices. Several examples
illustrate our results.
pdf   |
  ps.gz
Mechanical and Aerospace Engineering,
University of California, San Diego
9500 Gilman Dr,
La Jolla, California, 92093-0411
Ph: 1-858-822-7930
Fax: 1-858-822-3107
cortes at ucsd.edu
Skype id:
jorgilliyo