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Finite-Time Anti-synchronization of Multi-weighted Coupled Neural Networks With and Without Coupling Delays

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Abstract

The multi-weighted coupled neural networks (MWCNNs) models with and without coupling delays are investigated in this paper. Firstly, the finite-time anti-synchronization of MWCNNs with fixed topology and switching topology is analyzed respectively by utilizing Lyapunov functional approach as well as some inequality techniques, and several anti-synchronization criteria are put forward for the considered networks. Furthermore, when the parameter uncertainties appear in MWCNNs, some conditions for ensuring robust finite-time anti-synchronization are obtained. Similarly, we also consider the finite-time anti-synchronization and robust finite-time anti-synchronization for MWCNNs with coupling delays under fixed and switched topologies respectively. Lastly, two numerical examples with simulations are provided to confirm the effectiveness of these derived results.

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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 and valuable suggestions which helped to improve this paper. This work was supported in part by the Natural Science Foundation of Tianjin city under Grant 18JCQNJC74300, in part by China Scholarship Council (No. 201808120044), and in part by the National Natural Science Foundation of China under Grant 61773285. Dr E. Yang is supported in part under the RSE-NNSFC Joint Project (2017–2019) (6161101383) with China University of Petroleum (East China).

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Authors and Affiliations

  1. School of Computer Science and Technology, Tianjin Polytechnic University, Tianjin, 300387, China

    Jie Hou

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

    Yanli Huang

  3. Department of Design, Manufacture and Engineering Management, Faculty of Engineering, University of Strathclyde, Glasgow, G1 1XJ, Scotland, UK

    Erfu Yang

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  1. Jie Hou
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Correspondence to Yanli Huang.

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Hou, J., Huang, Y. & Yang, E. Finite-Time Anti-synchronization of Multi-weighted Coupled Neural Networks With and Without Coupling Delays. Neural Process Lett 50, 2871–2898 (2019). https://doi.org/10.1007/s11063-019-10069-x

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