Global exponential stability conditions for quaternion-valued neural networks with leakage, transmission and distribution delays

Abstract

This paper studies the global exponential stability problem of quaternion-valued neural networks (QVNNs) with leakage, transmission, and distribution delays. To address this issue, a direct method based on system solutions is proposed to ensure the global exponential stability of the considered network models. In addition, this method does not need to construct any Lyapunov-Krasovskii functional, which greatly reduces the amount of computation. Finally, a numerical example is given to demonstrate the effectiveness of the proposed results.

Keywords

• global exponential stability
• distribution delays
• transmission time-varying delays
• quaternion-valued neural networks
• leakage delay