Cheng Chao-Jung, Liao Teh-Lu, Yan Jun-Juh, Hwang Chi-Chuan
IEEE Trans Syst Man Cybern B Cybern. 2006 Oct;36(5):1191-5. doi: 10.1109/tsmcb.2006.874677.
Several stability conditions for a class of systems with retarded-type delays are presented in the literature. However, no results have yet been presented for neural networks with neutral-type delays. Accordingly, this correspondence investigates the globally asymptotic stability of a class of neutral-type neural networks with delays. This class of systems includes Hopfield neural networks, cellular neural networks, and Cohen-Grossberg neural networks. Based on the Lyapunov stability method, two delay-independent sufficient stability conditions are derived. These stability conditions are easily checked and can be derived from the connection matrix and the network parameters without the requirement for any assumptions regarding the symmetry of the interconnections. Two illustrative examples are presented to demonstrate the validity of the proposed stability criteria.
文献中给出了一类具有滞后型时滞系统的若干稳定性条件。然而，对于具有中立型时滞的神经网络，尚未有相关结果。因此，本文研究了一类具有时滞的中立型神经网络的全局渐近稳定性。这类系统包括霍普菲尔德神经网络、细胞神经网络和科恩 - 格罗斯伯格神经网络。基于李雅普诺夫稳定性方法，推导了两个与时滞无关的充分稳定性条件。这些稳定性条件易于检验，并且可以从连接矩阵和网络参数得出，无需对互连的对称性做任何假设。给出了两个示例以证明所提出稳定性准则的有效性。
