Global exponential stability in Lagrange sense for quaternion-valued neural networks with leakage delay and mixed time-varying delays

Hanqi Shu, Qiankun Song, Jing Liang, Zhenjiang Zhao, Yurong Liu and Fuad E. Alsaadi

International Journal of Systems Science, 2019, vol. 50, issue 4, 858-870

Abstract: This paper deals with the global exponential stability in Lagrange sense for quaternion-valued neural networks (QVNNs) with leakage delay, discrete time-varying delays and distributed delays. By structuring an advisable Lyapunov–Krasovskii functional in quaternion field, and adopting free-weighting-matrix method and inequality technique, a sufficient condition in quaternion-valued linear matrix inequality (LMI) to guarantee the global exponential stability in Lagrange sense is acquired, and the domain of attraction is estimated. A numerical example with simulations is supplied to confirm the availability and feasibility of the raised result.

Date: 2019
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DOI: 10.1080/00207721.2019.1586001

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