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Adaptive Cluster Synchronization for Weighted Cellular Neural Networks with Time-Varying Delays

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 338))

Abstract

In this paper, the adaptive cluster synchronization for weighted cellular neural networks with multiple time-varying delays is investigated. The weighted configuration matrix in the networks under consideration is time-varying, which does not need to satisfy the diffusive coupling conditions or be symmetric. Based on Lyapunov stability theory, Kronecker product, and adaptive control method an adaptive strategy is derived to ensure each node in the networks achieves the asymptotical cluster mean square synchronization. The numerical simulations are performed to verify the effectiveness of the theoretical results.

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Correspondence to Yuxiu Li .

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Li, Y., Cai, G. (2015). Adaptive Cluster Synchronization for Weighted Cellular Neural Networks with Time-Varying Delays. In: Deng, Z., Li, H. (eds) Proceedings of the 2015 Chinese Intelligent Automation Conference. Lecture Notes in Electrical Engineering, vol 338. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46466-3_3

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  • DOI: https://doi.org/10.1007/978-3-662-46466-3_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-46465-6

  • Online ISBN: 978-3-662-46466-3

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