By Topic

Linear matrix inequality tests for synchrony of diffusively coupled nonlinear systems

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Arcak, M. ; Dept. of Electr. Eng. & Comput. Sci., Univ. of California, Berkeley, CA, USA

In a recent publication we presented a condition that guarantees spatial uniformity for the asymptotic behavior of the solutions of a reaction-diffusion PDE with Neumann boundary conditions. This condition makes use of the Jacobian matrix of the reaction terms and the second Neumann eigenvalue of the Laplacian operator on the given spatial domain. In the present paper we derive an analogous result for the synchronization of a network of identical ODE models coupled by diffusion terms.

Published in:

Communication, Control, and Computing (Allerton), 2010 48th Annual Allerton Conference on

Date of Conference:

Sept. 29 2010-Oct. 1 2010