Abstract
In this paper, some sufficient conditions are obtained to guarantee that discrete time cellular neural networks (DTCNNs) can have some stable memory patterns. These conditions can be directly derived from the structure of the neural networks. Moreover, the method of how to estimate of the attracting domain of such stable memory patterns is also described in this paper. In addition, a new design algorithm for DTCNNs is developed based on stability theory (not based on the well-known perceptron training algorithm), and the convergence of the design algorithm can be guaranteed by some stability theorems. Finally, the simulating results demonstrate the validity and feasibility of our proposed approach.
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References
Chua, L.O., Yang, L.: Cellular Neural Networks: Theory. IEEE Trans. Circuits Syst. 35, 1257–1272 (1988)
Lu, Z.J., Liu, D.R.: A New Synthesis Procedure for A Class of Cellular Neural Networks with Space-invariant Cloning Template. IEEE Trans. Circuits Syst., 1601–1605 (1998)
Brucoli, M., Carnimeo, L., Grassi, G.: Discrete-time Cellular Neural Networks for Associative Memories with Learning and Forgetting Capabilities. IEEE Trans. Circuits Syst. I 42, 396–399 (1995)
Chua, L.O., Roska, T.: The CNN Paradigm. IEEE Trans. Circuits Syst. I 40, 147–156 (1993)
Liu, D.R.: Cloning Template Design of Cellular Neural Networks for Associative Memories. IEEE Trans. Circuits Syst. I 44, 646–650 (1997)
Liu, D.R., Lu, Z.: A New Synthesis Approach for Feedback Neural Networks Based on the Perceptron Training Algorithm. IEEE Trans. Neural Networks 8, 1468–1482 (1997)
Michel, A.N., Farrell, J.A.: Associative Memories via Artificial Neural Networks. IEEE Contr. Syst. Mag. 10, 6–17 (1990)
Seiler, G., Schuler, A.J., Nossek, J.A.: Design of Robust Cellular Neural Networks. IEEE Trans. Circuits Syst. I 40, 358–364 (1993)
Liao, X.X., Wang, J.: Algebraic Criteria for Global Exponential Stability of Cellular Neural Networks with Multiple Time Delays. IEEE Trans. Circuits and Systems I 50, 268–275 (2003)
Zeng, Z.G., Wang, J., Liao, X.X.: Global Exponential Stability of A General Class of Recurrent Neural Networks with Time-varying Delays. IEEE Trans. Circuits and Systems Part I 50, 1353–1358 (2003)
Mohamad, S., Gopalsamy, K.: Exponential Stability of Continuous-time and Discrete-time Cellular Neural Networks with Delays. Applied Mathematics and Computation 135, 17–38 (2003)
Nikita, E.B., Danil, V.P.: Stability Analysis of Discrete-Time Recurrent Neural Networks. IEEE Trans. Neural Networks 13, 292–303 (2002)
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© 2004 Springer-Verlag Berlin Heidelberg
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Zeng, Z., Huang, DS., Wang, Z. (2004). Pattern Recognition Based on Stability of Discrete Time Cellular Neural Networks. In: Yin, FL., Wang, J., Guo, C. (eds) Advances in Neural Networks – ISNN 2004. ISNN 2004. Lecture Notes in Computer Science, vol 3173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28647-9_166
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DOI: https://doi.org/10.1007/978-3-540-28647-9_166
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22841-7
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