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Pinning Synchronization of Independent Chaotic Systems on Complex Networks with Double Delays

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Abstract

In this paper, aiming at the problem of different signals acting on the same node on a complex network with double time delay, two independent chaotic systems are established, a complex network model with both node delay and coupling delay is constructed. And the synchronization error condition of complex networks with double time delay is analyzed, by applying appropriate pinning controller on the complex network nodes with double time delay, some network nodes are controlled to investigate the problem of hybrid synchronization. Selecting the appropriate Lyapunov function, basing on the Lasalle invariance principle and the linear matrix inequality characteristic, the sufficient conditions for hybrid synchronization of node delay and coupling delay complex networks are given. Finally, the numerical simulation is presented, and the results indicate it is feasible and verified to realize the hybrid synchronization of two independent chaotic systems on the complex network with node delay and coupling delay.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (No: 61263019), Program for International S & T Cooperation Projects of Gansu province (No. 144WCGA166), Program for Longyuan Young Innovation Talents and the Doctoral Foundation of LUT.

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  1. School of Computer and Communication, Lanzhou University of Technology, Lanzhou, 730050, China

    Fuzhong Nian & Jia Li

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  1. Fuzhong Nian
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  2. Jia Li
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Correspondence to Fuzhong Nian.

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Nian, F., Li, J. Pinning Synchronization of Independent Chaotic Systems on Complex Networks with Double Delays. Wireless Pers Commun 114, 1453–1464 (2020). https://doi.org/10.1007/s11277-020-07430-y

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  • DOI: https://doi.org/10.1007/s11277-020-07430-y

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