On the convergence of reciprocal discrete-time cellular neural networks

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.<
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