On a Matrix Inequality and its Application to the Synchronization in Coupled Chaotic Systems

We study a matrix inequality problem which was found to be useful in deriving a sufficient condition for the synchronization in arrays of coupled chaotic systems. We consider classes of matrices for which this problem has an exact solution and solve the general case by solving sequentially a series of semidefinite programming problems.

By: Chai Wah Wu

Published in: RC23155 in 2004

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