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Synchronization of a Riemann–Liouville Fractional Time-Delayed Neural Network with Two Inertial Terms

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Abstract

The synchronization of a Riemann–Liouville-type fractional inertial neural network with a time delay and two inertial terms is studied in this paper. Some new Lyapunov functions are constructed. Based on the properties of the Riemann–Liouville fractional derivative, two new synchronization criteria are given in terms of linear matrix inequalities (LMIs). Suitable controllers are designed to ensure that synchronization can be achieved between the master system and slave system. Four numerical examples are provided to show the effectiveness and superiority of the obtained criteria.

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Acknowledgements

The authors would like to thank the editor and anonymous reviewers for their valuable comments and suggestions.

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Correspondence to Meilan Tang or Xinge Liu.

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This work is partly supported by the National Science Foundation of China under Grants 61773404 and 61271355.

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Zhang, S., Tang, M. & Liu, X. Synchronization of a Riemann–Liouville Fractional Time-Delayed Neural Network with Two Inertial Terms. Circuits Syst Signal Process 40, 5280–5308 (2021). https://doi.org/10.1007/s00034-021-01717-6

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