Pinning Synchronization of Nonlinear Coupled Lur’e Networks Under Hybrid Impulses

This brief focuses on the pinning synchronization problem of impulsive Lur’e networks with nonlinear and asymmetrical coupling. In order to study the situation in which synchronizing impulses and desynchronizing impulses are allowed to occur simultaneously, a single pinning impulsive controller is designed to investigate the synchronization of Lur’e networks with hybrid impulses based on the methods of average impulsive interval and average impulsive gain. By employing the Lyapunov method, some sufficient conditions are derived to guarantee the exponential synchronization of Lur’e networks with synchronizing impulses and desynchronizing impulses simultaneously. Two numerical examples are given to illustrate the results.

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