本文叙述矩阵测度的来龙去脉,它的意义和使用。早在2001年,在文章

• Chen T P. and Amari S. Stability of asymmetric Hopfield networks [J]. IEEE Transactions on Neural Networks. 2001, 12(1): 159-163

• Chen T P. Global exponential stability of delayed Hopfield neural networks [J]. Neural Networks. 2001, 14(8): 977-980

• Tianping Chen, Libin Rong, "Robust Global Exponential Stability of Cohen-Grossberg Neural Networks with Time-Delays", IEEE Transactions on Neural Networks, 15(1), 2004, 203-206

中,已经指出,把轨道长度有限性与矩阵不等式结合起来,许多神经网络~(包括 Hopfield Cohen-Grossberg 神经网络)~ 的平衡点存在性,稳定性都迎刃而解.