Finite-time synchronization of delayed complex dynamic networks via aperiodically intermittent control |
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| Authors: | Taiyan Jing Daoyuan Zhang Jun Mei Yuling Fan |
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| Institution: | 1. School of Mathematics and Information Science Henan Polytechnic University, Jiaozuo 454000, China;2. School of Economics and Trade, Xinhua College of Sun Yat-Sen University, Guangdong Province 523133, China;3. Centre of New Energy Systems Department of Electrical, Electronic and Computer Engineering University of Pretoria, Pretoria 0002, South Africa;4. College of Informatics Huazhong Agricultural University, Wuhan, Hubei 430072, China |
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| Abstract: | In this paper, the finite-time synchronization problem of complex dynamic networks with time delay is studied via aperiodically intermittent control. By compared with the existed results concerning aperiodically intermittent control, some new results are obtained to guarantee the synchronization of networks in a finite time. Especially, a new lemma is proposed to reduce the convergence time. In addition, based on aperiodically intermittent control scheme, the essential condition ensuring finite-time synchronization of dynamic networks is also obtained, and the convergence time is closely related to the topological structure of networks and the maximum ratio of the rest width to the aperiodic time span. Finally, a numerical example is provided to verify the validness of the proposed theoretical results. |
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| Keywords: | Corresponding author |
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