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On the convergence of reciprocal discrete-time cellular neural networks

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1 Author(s)
Perfetti, R. ; Inst. di Elettronica, Perugia Univ., Italy

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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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:40 ,  Issue: 4 )