Global Synchronization for Coupled Lur’e Dynamical Networks

This paper studies the global exponential synchronization for coupled Lur’e dynamical networks. Based on Lyapunov stability theory and novel matrix techniques, several sufficient conditions are established to ensure the global synchronization of the proposed network model. These conditions are expressed in terms of matrix and algebraic inequalities, which can be verified and solved easily. It is noted that, unlike existing approaches which may involve heavy computation when the number of subsystems is large, the method developed in this paper can be applied to tackle this case efficiently. Finally, the coupled chaotic Chua system is used to show the effectiveness of the obtained results.

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