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Synchronization control in arrays of coupled Lur'e type networks with nonlinear delayed coupling

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3 Author(s)
Tao Li ; School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China ; Aiguo Song ; Shumin Fei

This paper deals with global synchronization in arrays of coupled Lur'e systems with nonlinear delayed coupling. Together with Krasovskii-Lyapunov functional and Kronecker product technique, two novel synchronization criteria are presented in terms of linear matrix inequalities (LMIs) based on convex combination, in which the conditions are heavily dependent on the bounds of time delay and its derivative. Through employing LMI in Matlab Toolbox and adjusting some matrix parameters in the derived results, we can realize the designing and applications of the coupled systems. The effectiveness of the proposed methods can be demonstrated by one numerical example with simulations.

Published in:

Proceedings of the 29th Chinese Control Conference

Date of Conference:

29-31 July 2010