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Stability and Synchronization of Neural Networks with Lévy Noise

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Stability and Synchronization Control of Stochastic Neural Networks

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 35))

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Abstract

As a simple model of jump diffusions, Lévy noise is in a more general sense with respect to the description of neural noise than Brownian motion does. This chapter is concentrated on the stability and synchronization issues of neural networks with Lévy noise. Almost surely exponential stability and pth moment asymptotic stability for such networks are discussed in the first two sections. Synchronization via sampled data and adaptive synchronization are investigated in the rest two sections.

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Author information

Authors and Affiliations

  1. School of Information Sciences and Technology, Donghua University, Shanghai, China

    Wuneng Zhou & Liuwei Zhou

  2. Anyang Normal University, Anyang, China

    Jun Yang

  3. Shanghai University of Engineering Science, Shanghai, China

    Dongbing Tong

Authors
  1. Wuneng Zhou
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  2. Jun Yang
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  3. Liuwei Zhou
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  4. Dongbing Tong
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Correspondence to Wuneng Zhou .

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Zhou, W., Yang, J., Zhou, L., Tong, D. (2016). Stability and Synchronization of Neural Networks with Lévy Noise. In: Stability and Synchronization Control of Stochastic Neural Networks. Studies in Systems, Decision and Control, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47833-2_6

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  • DOI: https://doi.org/10.1007/978-3-662-47833-2_6

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  • Online ISBN: 978-3-662-47833-2

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