Multistability Analysis of Quaternion-Valued Neural Networks With Time Delays.
Song, Qiankun;Chen, Xiaofeng;
IEEE Transactions on Neural Networks and Learning Systems2018Vol. 29pp. 5430-5440
234
song2018multistabilityieee
Abstract
This paper addresses the multistability issue for quaternion-valued neural networks (QVNNs) with time delays. By using the inequality technique, sufficient conditions are proposed for the boundedness and the global attractivity of delayed QVNNs. Based on the geometrical properties of the activation functions, several criteria are obtained to ensure the existence of equilibrium points, of which are locally stable. Two numerical examples are provided to illustrate the effectiveness of the obtained results.