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Aperiodically intermittent control for synchronization of switched complex networks with unstable modes via matrix \(\varvec{\omega }\)-measure approach

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Abstract

The study, by using aperiodically intermittent pinning control, is to synchronize switched delayed complex networks with unstable subsystems. Matrix \(\omega \)-measure and mode-dependent average dwell time method are used to achieve globally exponential synchronization for such system. By designing the useful switching rule and control scheme, we obtain the novel synchronization criteria, which improve the conventional results. Finally, simulation analysis demonstrates the advantages of proposed innovations.

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Acknowledgements

The contribution of all authors is equal. Thanks to Professor Fawaz Alsaadi and Doctor Xinli Shi for their help in language checking and theoretical analysis. This study was supported by the National Natural Science Foundation of China under Grant Nos. 61403179, 61273012 and 61573102, the Natural Science Foundation of Jiangsu Province of China under Grant no. BK20170019, the Key Research and Development Project of Shandong Province of China under Grant no. 2017GGX10143, the Key Research and Development Project of Linyi City of China under Grant no. 2017GGH009, the Applied Mathematics Enhancement Program of Linyi University.

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Authors and Affiliations

  1. School of International Trade and Economics, Dongbei University of Finance and Economics, Dalian, 116025, China

    Liyan Cheng

  2. School of Automation and Electrical Engineering, and Key Laboratory of Complex Systems and Intelligent Computing in Universities of Shandong, Linyi University, Linyi, 276005, China

    Liyan Cheng, Xiangyong Chen & Jianlong Qiu

  3. School of Mathematics, Southeast University, Nanjing, 211189, China

    Xiangyong Chen, Jianquan Lu & Jinde Cao

  4. School of Electrical Engineering, Nantong University, Nantong, 226000, China

    Jinde Cao

  5. School of Mathematical Sciences, Shandong Normal University, Ji’nan, 250014, China

    Jinde Cao

  6. Department of Information Technology, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Jianlong Qiu

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  1. Liyan Cheng
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Correspondence to Xiangyong Chen.

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Cheng, L., Chen, X., Qiu, J. et al. Aperiodically intermittent control for synchronization of switched complex networks with unstable modes via matrix \(\varvec{\omega }\)-measure approach. Nonlinear Dyn 92, 1091–1102 (2018). https://doi.org/10.1007/s11071-018-4110-8

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