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Robust Mittag-Leffler Synchronization for Uncertain Fractional-Order Discontinuous Neural Networks via Non-fragile Control Strategy

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Abstract

This paper deals with the global robust non-fragile Mittag-Leffler synchronization issue for uncertain fractional-order neural networks with discontinuous activations. Firstly, a new inequality, which is concerned with the fractional derivative of the variable upper limit integral for the non-smooth integrable functional, is developed, and to be applied in the main results analysis. Then, the appropriate non-fragile controller with two types of gain perturbations is designed, and the global asymptotical stability is discussed for the synchronization error dynamical system by applying Lyapunov functional approach, non-smooth analysis theory and inequality analysis technique. In addition, the robust non-fragile Mittag-Leffler synchronization conditions are addressed in terms of linear matrix inequalities. Finally, two numerical examples are given to demonstrate the feasibility of the proposed non-fragile controller and the validity of the theoretical results.

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Acknowledgements

The authors would like to thank Editors and Reviewers for their insightful and constructive comments, which help to enrich the content and improve the presentation of the results in this paper.

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  1. School of Science, Yanshan University, Qinhuangdao, 066001, China

    Xiao Peng & Huaiqin Wu

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  1. Xiao Peng
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Correspondence to Huaiqin Wu.

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Peng, X., Wu, H. Robust Mittag-Leffler Synchronization for Uncertain Fractional-Order Discontinuous Neural Networks via Non-fragile Control Strategy. Neural Process Lett 48, 1521–1542 (2018). https://doi.org/10.1007/s11063-018-9787-7

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