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A Generalized LMI-Based Approach to the Global Exponential Stability of Recurrent Neural Networks with Delay

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3496))

Abstract

A new theoretical result on the global exponential stability of recurrent neural networks with delay is presented. It should be noted that the activation functions of recurrent neural network do not require to be bounded. The presented criterion, which has the attractive feature of possessing the structure of linear matrix inequality (LMI), is a generalization and improvement over some previous criteria. A example is given to illustrate our results.

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References

  1. Cao, J., Wang, J.: Global Asymptotic Stability of Recurrent Neural Networks with Lipschitz-continuous Activation Functions and Time-Varying Delays. IEEE Trans. Circuits Syst. I 50, 34–44 (2003)

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© 2005 Springer-Verlag Berlin Heidelberg

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Shen, Y., Jiang, M., Liao, X. (2005). A Generalized LMI-Based Approach to the Global Exponential Stability of Recurrent Neural Networks with Delay. In: Wang, J., Liao, X., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427391_17

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  • DOI: https://doi.org/10.1007/11427391_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25912-1

  • Online ISBN: 978-3-540-32065-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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