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Nonlinear Dynamics

, Volume 96, Issue 4, pp 2393–2412 | Cite as

Synchronization of random coupling delayed complex networks with random and adaptive coupling strength

  • Yongbao Wu
  • Yucong Li
  • Wenxue LiEmail author
Original Paper
  • 282 Downloads

Abstract

Our paper devotes to synchronization issue of random coupling delayed complex networks with adaptive coupling strength as well as random coupling strength via intermittent control. Different from related literature, intermittent control in this paper is aperiodic. Furthermore, we assume coupling delay is a random variable and coupling function is nonlinear. Meanwhile, adaptive and random coupling strength are, respectively, taken into account in our model compared with most existing literature. Some novel sufficient conditions are derived by utilizing Lyapunov method and graph theory. What is more, synchronization of a second-order Kuramoto model, as an application of our theoretical results, is investigated. Meanwhile, some sufficient conditions are given as well. Eventually, some numerical simulations are given to show the effectiveness of results.

Keywords

Random coupling strength Adaptive coupling strength Random coupling delay Aperiodically intermittent control Synchronization 

Notes

Acknowledgements

The authors really appreciate the valuable comments of the editors and reviewers. This work was supported by Shandong Province Natural Science Foundation (Nos. ZR2018MA005, ZR2018MA020, ZR2017MA008); the Key Project of Science and Technology of Weihai (No. 2014DXGJMS08) and the Innovation Technology Funding Project in Harbin Institute of Technology (No. HIT.NSRIF.201703).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of MathematicsHarbin Institute of Technology (Weihai)WeihaiPeople’s Republic of China

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