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Globally Attractive Periodic State of Discrete-Time Cellular Neural Networks with Time-Varying Delays

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Advances in Neural Networks – ISNN 2005 (ISNN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3496))

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Abstract

For the convenience of computer simulation, the discrete-time systems in practice are often considered. In this paper, Discrete-time cellular neural networks (DTCNNs) are formulated and studied in a regime where they act as a switchboard for oscillating inputs. Several sufficient conditions are obtained to ensure DTCNNs with delays have a periodic orbit and this periodic orbit is globally attractive using a method based on the inequality method and the contraction mapping principle. Finally, simulations results are also discussed via one illustrative example.

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© 2005 Springer-Verlag Berlin Heidelberg

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Zeng, Z., Chen, B., Wang, Z. (2005). Globally Attractive Periodic State of Discrete-Time Cellular Neural Networks with Time-Varying Delays. In: Wang, J., Liao, X., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427391_44

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  • DOI: https://doi.org/10.1007/11427391_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25912-1

  • Online ISBN: 978-3-540-32065-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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