Nonlinear Dynamics

, Volume 92, Issue 3, pp 853–867 | Cite as

Exponential synchronization for second-order nonlinear systems in complex dynamical networks with time-varying inner coupling via distributed event-triggered transmission strategy

  • Hao Dai
  • Weisheng Chen
  • Jin Xie
  • Jinping Jia
Original Paper


This paper focuses on the exponential synchronization problem of complex dynamical networks (CDNs) with time-varying inner coupling via distributed event-triggered transmission strategy. Information update is driven by properly defined event, which depends on the measurement error. Each node is described as a second-order nonlinear dynamic system and only exchanges information with its neighboring nodes over a directed network. Suppose that the network communication topology contains a directed spanning tree. A sufficient condition for achieving exponential synchronization of second-order nonlinear systems in CDNs with time-varying inner coupling is derived. Detailed theoretical analysis on exponential synchronization is performed by the virtues of algebraic graph theory, distributed event-triggered transmission strategy, matrix inequality and the special Lyapunov stability analysis method. Moreover, the Zeno behavior is excluded as well by the strictly positive sampling intervals based on the upper right-hand Dini derivative. It is noted that the amount of communication among network nodes and network congestion have been significantly reduced so as to avoid the waste of network resources. Finally, a simulation example is given to show the effectiveness of the proposed exponential synchronization criteria.


Complex dynamical networks (CDNs) Exponential synchronization Time-varying coupling Second-order nonlinear systems Event-triggered strategy 



This work was supported by the National Natural Science Foundation of China (Grant Numbers 61503292, 61673308 and 61502373)and Fundamental Research Funds for the Central Universities(Grant Numbers JB181305 and XJS15030).


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© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Aerospace Science and TechnologyXidian UniversityXi’anPeople’s Republic of China
  2. 2.School of Mathematics and StatisticsXidian UniversityXi’anPeople’s Republic of China

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