Stability of cellular neural networks with opposite-sign templates

Cellular neural networks (CNNs) with opposite-sign templates have been successfully applied by T. Matsumoto et al. in connected component detection (CCD) in feature extraction (see ibid., vol.37, p.633-5, 1990). A stability analysis of this class of nonreciprocal CNN is provided by L.O. Chua et al. (see ibid., vol.37, p.1520-7, 1990). In this paper, a thorough stability analysis of this type of CNNs which shows the dependence of complete stability on the template values is presented. Parameter regions for complete stability and instability are determined, and the parameter region for the functionality of CCD is also given based on this investigation. Simulation examples verify that the complete stability of CNN with opposite-sign templates is not always preserved