Distributed prescribed performance pinning synchronization for complex dynamical networks with event-triggered communication protocols

Abstract This paper proposes a distributed synchronization strategy of complex dynamical networks with prescribed performance under pinning control, via event-triggered communication protocols. Besides guaranteeing the transient performance of synchronization process, the provided pinning control can ensure the synchronization errors converge to the origin. Moreover, a sufficient condition of the synchronization is also given on the basis of the Lyapunov stability theory. The novelties of this paper are that not only transient performance of synchronization for complex dynamical networks is guaranteed, but also continuous communication among network nodes can be avoided under event-triggered pinning control, which can decrease the number of both controlled nodes and information updates. What is more, the Zeno behavior is eliminated in communication process of the networks. At last, the validity and the effectiveness of the theoretic results obtained are verified by means of the application in the complex dynamical network with Chua’s circuit.

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