He Yong, Wang Qing-Guo, Wu Min, Lin Chong
IEEE Trans Neural Netw. 2006 Jul;17(4):1077-1081. doi: 10.1109/TNN.2006.875969.
In this letter, the delay-dependent state estimation problem for neural networks with time-varying delay is investigated. A delay-dependent criterion is established to estimate the neuron states through available output measurements such that the dynamics of the estimation error is globally exponentially stable. The proposed method is based on the free-weighting matrix approach and is applicable to the case that the derivative of a time-varying delay takes any value. An algorithm is presented to compute the state estimator. Finally, a numerical example is given to demonstrate the effectiveness of this approach and the improvement over existing ones.
在这封信中,研究了具有时变延迟的神经网络的延迟依赖状态估计问题。建立了一个延迟依赖准则,通过可用的输出测量来估计神经元状态,使得估计误差的动态全局指数稳定。所提出的方法基于自由加权矩阵方法,适用于时变延迟的导数取任意值的情况。提出了一种计算状态估计器的算法。最后,给出一个数值例子来说明该方法的有效性以及与现有方法相比的改进。