关键词: 细胞神经网络, 完全稳定性, 图像分割

Abstract: Stability is of great importance in the research of Cellular Neural Networks（CNN）.Some references have shown that not all CNNs are completely stable.Several CNN templates give rise to an oscillatory periodic steady state，while others even exhibit an eternally transient phenomenon called chaos.In this paper，several mathematical criteria are proposed for complete stability of CNN，then primary application of image segmentation is introduced.Experimental results demonstrate that CNN has great advantages over traditional arithemetic operators（Prewitt，Sobel，Canny） respectively，which is suitable for image segmentation especially.

Key words: cellular neural network, complete stability, image segmentation