Robust stability analysis of impulsive quaternion-valued neural networks with distributed delays and parameter uncertainties

Abstract

Abstract In this paper, an impulsive quaternion-valued neural networks (QVNNs) model with leakage, discrete, and distributed delays is considered. Based on the homeomorphic mapping method, Lyapunov stability theorem, and linear matrix inequality (LMI) approach, sufficient conditions for the existence, uniqueness, and global robust stability of the equilibrium point of the impulsive QVNNs are provided. A numerical example is provided to confirm the obtained results. A conclusion is presented in the end.

Keywords

• Quaternion-valued neural networks
• Distributed delays
• Global robust stability
• Lyapunov stability theorem