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Finite-Time Stability and Synchronization of the Coupled Switched Neural Networks with Nodes of Different Dimensions

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Abstract

In practical application, the state dimensions may be different in coupled neural networks. A class of coupled switched neural networks (CSNNs) with nodes of different dimensions is studied in this paper. A linear feedback controller is utilized to stabilize the CSNN, and a nonlinear controller is employed to synchronize the derive-response CSNNs under average dwell time switching signals. Sufficient conditions formulated in terms of linear matrix inequalities are derived for the finite-time stability and synchronization of CSNNs. Finally, numerical examples are given to show the effectiveness of theoretical results.

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Acknowledgements

The research is supported by grants from the National Natural Science Foundation of China (Nos. 61572233 and 11471083), and the Science and Technology Program of Guangzhou, China (No. 201707010404).

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Authors and Affiliations

  1. College of Information Science and Technology, Jinan University, Guangzhou, 510632, China

    Manchun Tan, Xiaojun Li & Yunfeng Liu

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  1. Manchun Tan
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  2. Xiaojun Li
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  3. Yunfeng Liu
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Correspondence to Manchun Tan.

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Tan, M., Li, X. & Liu, Y. Finite-Time Stability and Synchronization of the Coupled Switched Neural Networks with Nodes of Different Dimensions. Neural Process Lett 49, 285–303 (2019). https://doi.org/10.1007/s11063-018-9814-8

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