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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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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DOI: https://doi.org/10.1007/s11071-018-4110-8