Associative Memories Based on Discrete-Time Cellular Neural Networks with One-Dimensional Space-Invariant Templates

In this paper, discrete-time cellular neural networks with one-dimensional space invariant are designed to associative memories. The obtained results enable both heteroassociative and autoassociative memories to be synthesized by assuring the global asymptotic stability of the equilibrium point and the feeding data via external inputs rather than initial conditions. It is shown that criteria herein can ensure the designed input matrix to be obtained by using one-dimensional space-invariant cloning template. Finally, one specific example is included to demonstrate the applicability of the methodology.

[1]  Zhigang Zeng,et al.  Stability analysis of delayed cellular neural networks described using cloning templates , 2004, IEEE Trans. Circuits Syst. I Regul. Pap..

[2]  G. Grassi,et al.  On discrete-time cellular neural networks for associative memories , 2001 .

[3]  Zhigang Zeng,et al.  Global Stability of a General Class of Discrete-Time Recurrent Neural Networks , 2005, Neural Processing Letters.

[4]  Lin-Bao Yang,et al.  Cellular neural networks: theory , 1988 .

[5]  Jun Wang,et al.  Algebraic criteria for global exponential stability of cellular neural networks with multiple time delays , 2003 .

[6]  Derong Liu,et al.  A new synthesis approach for feedback neural networks based on the perceptron training algorithm , 1997, IEEE Trans. Neural Networks.

[7]  Jun Wang,et al.  Global exponential stability of a general class of recurrent neural networks with time-varying delays , 2003 .

[8]  Zhigang Zeng,et al.  Global asymptotic stability and global exponential stability of neural networks with unbounded time-varying delays , 2005, IEEE Trans. Circuits Syst. II Express Briefs.

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

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

[11]  Josef A. Nossek,et al.  Design of robust cellular neural networks , 1993 .

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