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Pinning synchronization of complex directed dynamical networks under decentralized adaptive strategy for aperiodically intermittent control

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Abstract

In this paper, the problem of global synchronization for complex directed dynamical networks via adaptive aperiodically intermittent pinning control is studied. By constructing a piecewise Lyapunov function, some sufficient conditions to guarantee global synchronization are derived based on the analytical technique and theory of series with nonnegative terms. Different from previous works, the adaptive intermittent pinning control is aperiodic with non-fixed both control period and control width, and moreover, the adaptive approach is decentralized relying only on the state information of the controlled node. Hence, the adaptive intermittent pinning control strategy proposed in this paper is more practically applicable than those in previous works. Additionally, it is noted that the derived synchronization criteria are dependent on the control rates, but not the control widths or the control periods, which makes the theoretical results are less conservative than the corresponding results given in the existing works. A numerical example is finally provided to illustrate the validity of our theoretical results.

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Acknowledgements

This work was supported by the National Science Foundation of China (Grant No. 11402100), National Science Foundation of China, Tian Yuan Special Foundation (Grant No. 11326193), Natural Science Foundation of Jiangsu Province (Grant No. BK20130535), and Young Core Teachers Training Project of Jiangsu University. The authors are grateful to the editor and anonymous reviewers for their constructive comments and suggestions that helped to improve the content as well as the quality of the paper.

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  1. Faculty of Science, Jiangsu University, Zhenjiang, 212013, Jiangsu, China

    Peipei Zhou & Shuiming Cai

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  1. Peipei Zhou
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  2. Shuiming Cai
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Correspondence to Shuiming Cai.

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Zhou, P., Cai, S. Pinning synchronization of complex directed dynamical networks under decentralized adaptive strategy for aperiodically intermittent control. Nonlinear Dyn 90, 287–299 (2017). https://doi.org/10.1007/s11071-017-3661-4

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