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A Unified Synchronization Criterion for Reaction-Diffusion Neural Networks with Time-Varying Impulsive Delays and System Delay

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Abstract

The paper mainly focuses on the synchronization of the coupled delayed reaction-diffusion neural networks (CDRDNNs) with delayed impulses. Firstly, the synchronization of CDRDNNs is studied by the direct error method instead of weighted average method. Then, a strict comparison principle is derived to solve the synchronization of the systems with delayed impulses. Combined with this comparison principle and the average impulsive delay (AID) method, some sufficient conditions of CDRDNNs are proposed. In addition, the sufficient criteria suggest that the impulsive delay could play a positive role for synchronization of CDRDNNs to a certain extent. Finally, two examples are provided to illustrate the validity of our established results.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant 61503115 and 91538112.

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  1. School of Mathematics, Hefei University of Technology, 230009, Hefei, China

    Qian Cui, Lulu Li & Wei Huang

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  1. Qian Cui
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  2. Lulu Li
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  3. Wei Huang
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Correspondence to Lulu Li.

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Cui, Q., Li, L. & Huang, W. A Unified Synchronization Criterion for Reaction-Diffusion Neural Networks with Time-Varying Impulsive Delays and System Delay. Neural Process Lett 55, 2989–3006 (2023). https://doi.org/10.1007/s11063-022-10994-4

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