Abstract
Complex networks have been judiciously developed during the last decades. Much attention has been given to investigate the synchronization of complex networks in recent years. In this paper, by constructing a drive network and a suitable impulsively controlled slave network, several synchronization criteria for the uncertain complex networks have been obtained based on the adaptive-impulsive method. The tracking parameters are realized simultaneously as the synchronization occurs. Particularly, our hypotheses and the proposed adaptive-impulsive control laws for network synchronization are simple and can be readily applied in practical applications. Finally, numerical simulations are provided to illustrate the effectiveness of the proposed synchronization criteria.
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Acknowledgements
This work was jointly supported by the National Natural Science Foundation of China under Grant Nos. 11047114 and 11271295, the Key Project of Chinese Ministry of Education under Grant No. 210141 and the Youth Project of Hubei Education Department under Grant Nos. Q20111607 and Q20111611.
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Zhang, Q., Luo, J. & Wan, L. Parameter identification and synchronization of uncertain general complex networks via adaptive-impulsive control. Nonlinear Dyn 71, 353–359 (2013). https://doi.org/10.1007/s11071-012-0665-y
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DOI: https://doi.org/10.1007/s11071-012-0665-y