On discrete-time cellular neural networks for associative memories

In this paper, discrete-time cellular neural networks (DTCNNs) with a globally asymptotically stable equilibrium point, are designed to behave as associative memories. The objective is achieved by considering feedback parameters related to circulant matrices and by satisfying frequency domain stability criteria. The approach, by generating DTCNNs where the input data are fed via external inputs rather than initial conditions, enables both heteroassociative and autoassociative memories to be designed. Numerical examples are reported in order to show the capabilities of the proposed tool.

[1]  Leon O. Chua,et al.  Stability analysis of generalized cellular neural networks , 1993, Int. J. Circuit Theory Appl..

[2]  G. Grassi,et al.  A new approach to design cellular neural networks for associative memories , 1997 .

[3]  M. Brucoli,et al.  A global approach to the design of discrete-time cellular neural networks for associative memories , 1996 .

[4]  Joos Vandewalle,et al.  Cellular neural networks as a model of associative memories , 1990, IEEE International Workshop on Cellular Neural Networks and their Applications.

[5]  Derong Liu,et al.  Sparsely interconnected neural networks for associative memories with applications to cellular neural networks , 1994 .

[6]  R. Perfetti.  Frequency domain criteria for cellular neural networks , 1997 .

[7]  Hui Ye,et al.  Qualitative limitations incurred in implementations of recurrent neural networks , 1995 .

[8]  M. Brucoli,et al.  Discrete-time cellular neural networks for associative memories with learning and forgetting capabilities , 1995 .

[9]  R. Perfetti,et al.  Associative memory design using space-varying cellular neural networks , 1992, CNNA '92 Proceedings Second International Workshop on Cellular Neural Networks and Their Applications.

[10]  R. Perfetti,et al.  Dual-mode space-varying self-designing cellular neural networks for associative memory , 1999 .

[11]  Vedat Tavsanoglu,et al.  Circulant matrices and the stability of a class of CNNs , 1996 .

[12]  M. Brucoli,et al.  Associative memory design using discrete-time second-order neural networks with local interconnections , 1997 .

[13]  Leon O. Chua,et al.  Autonomous cellular neural networks: a unified paradigm for pattern formation and active wave propagation , 1995 .