On the convergence of reciprocal discrete-time cellular neural networks
R. Perfetti · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 1993
Two results are proved concerning the global convergence of reciprocal discrete-time cellular neural networks (DTCNNs). The first result regards DTCNNs with a piecewise-linear nonlinearity and is an extension of a theorem by N. Fruehauf et al. (1992). The second result regards DTCNNs with threshold-type nonlinearity. Here, convergence is proved under mild conditions assuming a semiparallel operation, that is, only noninteracting cells are updated all at once.>