Global exponential stability in Lagrange sense for quaternion-valued neural networks with leakage delay and mixed time-varying delays
Hanqi Shu, Qiankun Song, Jing Lu Liang, Zhenjiang Zhao, Yurong Liu, Fuad E. Alsaadi · International Journal of Systems Science · 2019
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.