State Estimation for Quaternion-Valued Neural Networks With Multiple Time Delays
研究了具有泄漏、离散和分布时滞的四元数值神经网络的状态估计问题，利用李雅普诺夫稳定性和四元数矩阵理论，以四元数值和复数值线性矩阵不等式形式给出了状态估计器存在和稳定的判据，并用两个数值例子验证了结果的有效性。
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.