State Estimation for Quaternion-Valued Neural Networks With Multiple Time Delays

This paper addresses the issue of state estimation for the quaternion-valued neural networks (QVNNs) with leakage, discrete, and distributed delays by employing the Lyapunov stability theory and the quaternion matrix theory. The criteria are developed in two forms of quaternion-valued linear matrix inequalities (LMIs) and complex-valued LMIs for guaranteeing the existence and stability of state estimators of the delayed QVNNs. Two numerical examples are provided to illustrate the effectiveness of the obtained results.