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Dynamical Behaviors of a Large Class of Delayed Differential Systems with Discontinuous Right-Hand Side

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Neural Information Processing (ICONIP 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4232))

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Abstract

In this paper, we investigate dynamical behaviors of a large class of delayed differential systems with discontinuous right-hand side. This class of delayed differential systems includes Hopfield and Cellular neural networks with discontinuous activations as special cases. We prove that under some mild conditions, this system has a unique almost-periodic solution, which is globally exponential stable.

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© 2006 Springer-Verlag Berlin Heidelberg

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Lu, W., Chen, T. (2006). Dynamical Behaviors of a Large Class of Delayed Differential Systems with Discontinuous Right-Hand Side. In: King, I., Wang, J., Chan, LW., Wang, D. (eds) Neural Information Processing. ICONIP 2006. Lecture Notes in Computer Science, vol 4232. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11893028_43

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  • DOI: https://doi.org/10.1007/11893028_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-46479-2

  • Online ISBN: 978-3-540-46480-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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