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Stability and almost periodicity for delayed high-order Hopfield neural networks with discontinuous activations

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Abstract

In this paper, the stability and almost periodicity for delayed high-order Hopfield neural networks with discontinuous activations are investigated. Some new criteria ensuring the existence and global exponential stability of almost periodic solution for the considered neural network model are established by employing the differential inclusion theory, differential inequality technique, and Lyapunov functional approach, the results of this paper improve and complement previously known results. Finally, examples with numerical simulations are presented to demonstrate the effectiveness of theoretical results.

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Acknowledgments

The authors would like to thank the Editor-in-Chief, the associate editor and the anonymous reviewers for their valuable comments and constructive suggestions, which helped to enrich the content and greatly improve the presentation of this paper. Research supported by National Natural Science Foundation of China (11371127,11101133) and Hunan Provincial Innovation Foundation For Postgraduate.

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Correspondence to Lihong Huang.

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Duan, L., Huang, L. & Guo, Z. Stability and almost periodicity for delayed high-order Hopfield neural networks with discontinuous activations. Nonlinear Dyn 77, 1469–1484 (2014). https://doi.org/10.1007/s11071-014-1392-3

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  • DOI: https://doi.org/10.1007/s11071-014-1392-3

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