Stability analysis of quaternion-valued neural networks with both discrete and distributed delays

Zhengwen Tu, Yongxiang Zhao, Nan Ding, Yuming Feng and Wei Zhang

Applied Mathematics and Computation, 2019, vol. 343, issue C, 342-353

Abstract: The existence, uniqueness and stability of the equilibrium of quaternion-valued neural networks (QVNNs) with both discrete and distributed delays are investigated in this paper. The considered model is managed as a single entirety without decomposition. Based on homeomorphic mapping theorem and linear matrix inequality, several sufficient criteria are derived to ascertain the aforementioned QVNNs to be globally asymptotically stable and exponentially stable. Moreover, provided criteria can be verified by the linear matrix inequality (LMI) toolbox in MATLAB. Finally, one simulation example is demonstrated to verify the effectiveness of obtained results.

Keywords: Quaternion-valued neural networks (QVNNs); Stability; Distributed delays; Linear matrix inequality (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (22)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:343:y:2019:i:c:p:342-353

DOI: 10.1016/j.amc.2018.09.049

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