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Global Exponential Stability of a Class of Generalized Neural Networks with Variable Coefficients and Distributed Delays

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Advances in Intelligent Computing (ICIC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3644))

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Abstract

In this paper, the requirement of Lipschitz condition on the activation functions is essentially dropped. By using Lyapunov functional and Young inequality, some new criteria concerning global exponential stability are obtained for generalized neural networks with variable coefficients and distributed delays. Since these new criteria do not require the activation functions to be differentiable, bounded or monotone nondecreasing and the connection weight matrices to be symmetric, they are mild and more general than previously known criteria.

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References

  1. Arik, S., Tavanoglu, V.: Equilibrium Analysis of Delayed CNNs. IEEE Trans. Circuits syst. I 45, 168–171 (1998)

    Article  Google Scholar 

  2. Cao, J.D., Wang, J.: Absolute Exponential Stability of Recurrent Neural Networks with Lipschitz-continuous Activation Functions and Time Delays. Neural network 17, 379–390 (2004)

    Article  MATH  Google Scholar 

  3. Chen, A.P., Cao, J.D., Huang, L.H.: Periodic Solution and Global Exponential Stability for Shunting Inhibitory Delayed Cellular Neural Networks. Electronic Journal of Differential Equation 29, 1–16 (2004)

    MathSciNet  Google Scholar 

  4. Liang, J.L., Cao, J.D.: Boundedness and Stability for Recurrent Neural Networks with Variable Coefficients and Time-varying Delays. Physics Letters A 318, 53–64 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  5. Guo, S.J., Huang, L.H., Dai, B.X., Zhang, Z.Z.: Global Existence of Periodic Solutions of BAM Neural Networks with Variable Cofficients. Physics Letters A 317, 97–106 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  6. Liao, X.F., Wong, K., Li, C.G.: Global Exponential Stability for A Class of Generalized Neural Networks with Distributed Delays. Nonliner Analysis: Real World Applications 5, 527–547 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  7. Hamori, J., Rosks, T.: The Use of CNN Models in the Subcortical Visual Pathway. IEEE Trans. on Circuits and Systems 40, 182–194 (1993)

    Article  MATH  Google Scholar 

  8. Liang, J.L., Cao, J.D.: Global Asymptotic Stability of Bi-directional Associative Memory Networks with Distributed Delays. Applied Mathematics and Computation 152, 415–424 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  9. Zeng, Z.G., Wang, J., Liao, X.X.: Global Exponential Stability of A General Class of Recurrent Neural Networks with Time-varying Delays. IEEE Trans. on Circuits and Systems 50, 1353–1358 (2003)

    Article  MathSciNet  Google Scholar 

  10. Cao, J.D., Wang, J.: Global Asymptotic Stability of A General Class of Recurrent Neural Networks with Time-varying Delays. IEEE Trans. on Circuits and Systems 50, 34–44 (2003)

    Article  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Key Laboratory of Process Industry Automation of Ministry of Education, Northeastern University, China

    Huaguang Zhang & Gang Wang

  2. College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, P.R. China

    Huaguang Zhang & Gang Wang

Authors
  1. Huaguang Zhang
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  2. Gang Wang
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Editor information

Editors and Affiliations

  1. Intelligent Computing Lab, Institute of Intelligent Machines, Chinese Academy of Sciences,, China

    De-Shuang Huang

  2. School of Computer & Information Technology, Beijing Jiaotong University, 100044, Beijing, P.R. China

    Xiao-Ping Zhang

  3. School of Electrical and Electronic Engineering, Nanyang Technological University, P.O. Box, Singapore

    Guang-Bin Huang

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© 2005 Springer-Verlag Berlin Heidelberg

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Zhang, H., Wang, G. (2005). Global Exponential Stability of a Class of Generalized Neural Networks with Variable Coefficients and Distributed Delays. In: Huang, DS., Zhang, XP., Huang, GB. (eds) Advances in Intelligent Computing. ICIC 2005. Lecture Notes in Computer Science, vol 3644. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11538059_84

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  • DOI: https://doi.org/10.1007/11538059_84

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28226-6

  • Online ISBN: 978-3-540-31902-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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