Song Qiankun, Chen Xiaofeng
IEEE Trans Neural Netw Learn Syst. 2018 Nov;29(11):5430-5440. doi: 10.1109/TNNLS.2018.2801297. Epub 2018 Mar 2.
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.
本文研究了具有时滞的四元数神经网络（QVNNs）的多重稳定性问题。通过使用不等式技术，提出了时滞QVNNs有界性和全局吸引性的充分条件。基于激活函数的几何性质，得到了几个确保平衡点存在且局部稳定的准则。给出了两个数值例子来说明所得结果的有效性。
