Impulsive pinning synchronization on Lur’e dynamical networks with hybrid time-varying delays

Abstract

This paper aims to investigate the exponential synchronization of coupled Lur’e network with hybrid time-varying delays. Consider that the controller could be influenced by the impulses, the distributed pinning controller is thus designed. In combination of generalized comparison principle, average impulsive intervals and vector norm techniques, adequate criteria for achieving the exponential synchronization of the coupled Lur’e networks are eventually derived. Moreover, considering that different impulsive effects may have different influences during the process of synchronization, different situations are analyzed through separate discussion based on the impulsive- effects-related parameter. To confirm the correctness of the theoretical results and the control scheme, a convincing numerical example is given.