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Passivity and Synchronization of Coupled Reaction–Diffusion Cohen–Grossberg Neural Networks with Fixed and Switching Topologies

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Abstract

This paper investigates the passivity and synchronization of coupled reaction–diffusion Cohen–Grossberg neural networks (CRDCGNNs) with constant and delayed couplings respectively. On the one side, a CRDCGNNs model with fixed topology is introduced, and several sufficient conditions which ensure passivity and synchronization for this type of network are derived respectively by exploiting some inequality techniques and constructing appropriate Lyapunov functional. On the other side, considering that topology structure of a network may change by switches in some cases, we also concern on the passivity and synchronization of CRDCGNNs with switching topology. Finally, the correctness of the obtained passivity and synchronization criteria are corroborated by two illustrative examples.

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Acknowledgements

The authors would like to thank the Associate Editor and anonymous reviewers for their valuable comments and suggestions. They also wish to express their sincere appreciation to Prof. Jinliang Wang for the fruitful discussions with him and good suggestions which helped to improve this paper. This work was supported in part by the National Natural Science Foundation of China under Grants 11501411, 61503010 and 61773285, in part by the open fund of Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis (No. HCIC201704), and in part by the Fundamental Research Funds for the Central Universities (No.YWF-18-BJ-Y-108).

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Authors and Affiliations

  1. School of Computer Science and Software Engineering, Tianjin Key Laboratory of Optoelectronic Detection Technology and System, Tianjin Polytechnic University, Tianjin, 300387, China

    Yanli Huang

  2. Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis, Guangxi University for Nationalities, Nanning, 530006, China

    Yanli Huang

  3. School of Computer Science and Software Engineering, Tianjin Polytechnic University, Tianjin, 300387, China

    Weizhong Chen

  4. School of Mechanical Engineering, Tianjin Polytechnic University, Tianjin, 300387, China

    Shunyan Ren

  5. School of of Automation Science and Electrical Engineering, Beihang University, Beijing, 100191, China

    Zewei Zheng

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Huang, Y., Chen, W., Ren, S. et al. Passivity and Synchronization of Coupled Reaction–Diffusion Cohen–Grossberg Neural Networks with Fixed and Switching Topologies. Neural Process Lett 49, 1433–1457 (2019). https://doi.org/10.1007/s11063-018-9879-4

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