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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1007/bf01505832

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1573-269X

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Global exponential stability for quaternionvalued

Authors: Yang Liu Dandan Zhang Jianquan Lu
Publish Date: 2016/09/10
Volume: 87, Issue: 1, Pages: 553-565
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Abstract

In this paper we employ a novel method for solving the problem of the global exponential stability of quaternionvalued recurrent neural networks QVNNs with timevarying delays Theoretically a QVNN can be separated into four realvalued systems forming an equivalent realvalued system From the view of matrix measure based on Halanay inequality instead of Lyapunov function some sufficient conditions are derived to guarantee the global exponential stability for QVNNs Moreover the activation functions are not assumed to be derivative any more which makes the analytical procedure compact Finally a numerical example is provided to validate the advantage of the proposed method and to show the effectiveness of the main resultsThe authors wish to thank the editors and the anonymous reviewers for a number of constructive comments and suggestions that have improved the quality of the paper This work was partially supported by Zhejiang Provincial Natural Science Foundation of China under Grant LY14A010008 the China Postdoctoral Science Foundation under Grants 2016T90406 2015M580378 2014M560377 2015T80483 and the National Natural Science Foundation of China under Grants 11671361 61573102

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