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Exponential Stability of Stochastic Neural Networks with Mixed Time-Delays

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Advances in Neural Networks – ISNN 2011 (ISNN 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6675))

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Abstract

This paper investigates the exponential stability of stochastic neural networks with unbounded discrete delays and infinitely distributed delays. By using Lyapunov functions, the semi-martingale convergence theorem and some inequality techniques, the exponential stability in mean square and almost sure exponential stability are obtained. To overcome the difficulties from unbounded delays, some new techniques are introduced. Some earlier results are improved and generalized. An example is given to illustrate the results.

This research was supported by the fundamental research funds for the central universities under grant No.2010MS130.

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Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China

    Xuejing Meng, Peng Hu & Shigeng Hu

  2. State Engineering Research Center of Numerical Control System of Huazhong University of Science and Technology, Wuhan, 430074, P.R. China

    Maosheng Tian

Authors
  1. Xuejing Meng
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  2. Maosheng Tian
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  3. Peng Hu
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  4. Shigeng Hu
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Editor information

Editors and Affiliations

  1. Institute of Automation, Key Laboratory of Complex Systems and Intelligence Science, Chinese Academy of Sciences, 100190, Beijing, China

    Derong Liu

  2. College of Information Science and Engineering, Shenyang, Northeastern University, 110004, Liaoing, China

    Huaguang Zhang

  3. Department of Electrical and Computer Engineering, University of Cyprus, 75 Kallipoleos Avenue, 1678, Nicosia, Cyprus

    Marios Polycarpou

  4. Dipartimento di Elettronica, Politecnico di Milano, Piazza L. da Vinci 32, 20133, Milano, Italy

    Cesare Alippi

  5. Deptartment of Electrical, Computer and Biomedical Engineering, University of Rhode Island, RI 02881, Kingston, USA

    Haibo He

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© 2011 Springer-Verlag Berlin Heidelberg

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Meng, X., Tian, M., Hu, P., Hu, S. (2011). Exponential Stability of Stochastic Neural Networks with Mixed Time-Delays. In: Liu, D., Zhang, H., Polycarpou, M., Alippi, C., He, H. (eds) Advances in Neural Networks – ISNN 2011. ISNN 2011. Lecture Notes in Computer Science, vol 6675. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21105-8_24

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  • DOI: https://doi.org/10.1007/978-3-642-21105-8_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21104-1

  • Online ISBN: 978-3-642-21105-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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