Abstract
This paper deals with the robust pinning synchronization issue of uncertain fractional-order neural networks with discontinuous activations (FNNDAs) by means of the linear matrix inequalities (LMIs). In this paper, a class of FNNDAs model is presented. Moreover, an appropriate pinning controller is designed to ensure the error dynamical system gets robust Mittag–Leffler stability via Lyapunov function approach, non-smooth analysis theory and inequality analysis technique. In addition, the robust pinning synchronization conditions of FNNDAs drive system and FNNDAs response system are obtained in terms of the LMIs. Finally, a typical numerical simulation is provided to show the effectiveness of the obtained results.
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Acknowledgements
The authors are extremely grateful to Editors and Reviewers for their careful reading of the manuscript and insightful comments, which help to enrich the content of the paper and improve the presentation of the results in the paper. This work was funded by the Program for the Top Young Talents of Higher Learning Institutions of Hebei (BJ2017033) and the Natural Science Foundation of Hebei Province of China (A2018203288).
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Zhang, X., Ma, Y. LMIs conditions to robust pinning synchronization of uncertain fractional-order neural networks with discontinuous activations. Soft Comput 24, 15927–15935 (2020). https://doi.org/10.1007/s00500-020-05315-7
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DOI: https://doi.org/10.1007/s00500-020-05315-7