In this paper, we investigate the global stability of quaternion-valued neural networks
(QVNNs) with time-varying delays. On one hand, in order to avoid the noncommutativity of …

In this paper, we first propose quaternion-valued neural networks (QVNNs) with unbounded
time-varying delays. Some sufficient conditions on the global μ-stability in the form of both …

In this paper, by using the quaternion algebra, the conventional complex-type moments
(CTMs) for gray-scale images are generalized to color images as quaternion-type moments …

A class of nonlinear quaternion-valued adaptive filtering algorithms is proposed based on
locally analytic nonlinear activation functions. To circumvent the stringent standard …

Quaternions are still largely misunderstood and often considered an “exotic” signal
representation without much practical utility despite the fact that they have been around the …

In the paper, the quaternion-valued neural networks (QVNNs) with non-differentiable time-
varying delays are considered. Firstly, by using the method of plural decomposition, we …

Complex-valued signals occur in many areas of science and engineering and are thus of
fundamental interest. When developing signal processing methods in the complex domain …

To solve the estimation problem in three-dimensional space, the quaternion Kalman filter
(QKF) is developed for quaternion-valued signals using the well-known minimum mean …

This article investigates the quasi-projective synchronization (QPS) of non-identical
quaternion-valued neural networks (QVNNs) with time-varying delays and interaction terms …

A widely linear quaternion-valued least-mean kurtosis (WL-QLMK) algorithm is introduced
for adaptive filtering of quaternion-valued circular and noncircular signals. In the design …