Exponential stability analysis for discrete-time quaternion-valued neural networks with leakage delay and discrete time-varying delays

摘要

In this paper, we consider the issue of exponential stability analysis for discrete-time quaternion-valued neural networks(DTQVNNs) with leakage delay and discrete time-varying delays. The DTQVNNs are investigated directly rather than through real decomposition method or plural decomposition method. Firstly, the existence and uniqueness of the equilibrium point for DTQVNNs are proposed by using homeomorphic mapping theorem and Cauchy-Schwarz inequality. Then, based on Lyapuinov-Krasovskii functional and matrix inequality, a delay-dependent sufficient condition is provided to guarantee the exponential stability of the equilibrium point for DTQVNNs. Finally, a numerical example is utilized to illustrate the effectiveness of the obtained results. (C) 2020 Elsevier B.V. All rights reserved.