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P-Moment Asymptotic Behavior of Nonautonomous Stochastic Differential Equation with Delay

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Advances in Neural Networks - ISNN 2010 (ISNN 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6063))

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Abstract

In this paper, we consider p-moment asymptotic behaviors of a nonautonomous delay stochastic differential equation. By using L-operator differential inequality techniques, we get some sufficient criterions for p-moment ultimately bounded and exponential stability. These results are fit for stochastic neural networks model.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Chongqing Jiaotong University, Chongqing, 400074, China

    Bing Li & Qiankun Song

  2. College of Mathematic and Software Science, Sichuan Normal University, Chengdu, 610066, China

    Yafei Zhou

Authors
  1. Bing Li
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  2. Yafei Zhou
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  3. Qiankun Song
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, 200240, Shanghai, China

    Liqing Zhang

  2. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800, Dongchuan Road, 200240, Shanghai, China

    Bao-Liang Lu

  3. Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clear Water bay, Kowloon, Hong Kong, China

    James Kwok

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© 2010 Springer-Verlag Berlin Heidelberg

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Li, B., Zhou, Y., Song, Q. (2010). P-Moment Asymptotic Behavior of Nonautonomous Stochastic Differential Equation with Delay. In: Zhang, L., Lu, BL., Kwok, J. (eds) Advances in Neural Networks - ISNN 2010. ISNN 2010. Lecture Notes in Computer Science, vol 6063. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13278-0_72

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  • DOI: https://doi.org/10.1007/978-3-642-13278-0_72

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13277-3

  • Online ISBN: 978-3-642-13278-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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