Jorge Cortés

Professor





On synchronous robotic networks - Part II: Time complexity of rendezvous and deployment algorithms
S. Martínez, F. Bullo, J. Cortés, E. Frazzoli
IEEE Transactions on Automatic Control, 52 (12) (2007), 2214-2226


Abstract

This paper analyzes a number of basic coordination algorithms running on synchronous robotic networks. We provide upper and lower bounds on the time complexity of the move-toward average and circumcenter laws, both achieving rendezvous, and of the centroid law, achieving deployment over a region of interest. The results are derived via novel analysis methods, including a set of results on the convergence rates of linear dynamical systems defined by tridiagonal Toeplitz and circulant matrices.

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