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Global Exponential Stability of Delayed Impulsive Hopfield Type Neural Networks

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

Abstract

This paper investigate the problems of global exponential stability and exponential convergence rate for delayed impulsive Hopfield type neural networks. By using the method of Lyapunov functions, some sufficient conditions for ensuring global exponential stability of these networks are derived, and the estimate of exponential convergence rate is also obtained. A numerical example is worked out to illustrate the obtained results.

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References

  1. Liao, X.X., Liao, Y.: Stability of Hopfield-type Neural Networks (II). Science in China (Series A) 40, 813–816 (1997)

    Article  MATH  Google Scholar 

  2. Sun, C.Y., Zhang, K.J., Fei, S.M., Feng, C.B.: On Exponential Stability of Delayed Neural Networks with a General Class of Activation Functions. Physics Letters A 298, 122–132 (2002)

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  3. Xu, B.J., Liu, X.Z., Liao, X.X.: Global Asymptotic Stability of High-Order Hopfield Type Neural Networks with Time Delays. Computers and Mathematics with Applications 45, 1729–1737 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  4. Gopalsamy, K.: Stability of Atificial Neural Networks with Impulses. Applied Mathematics and Computation 154, 783–813 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  5. Acka, H., Alassar, R., Covachev, V., et al.: Continuous-time Additive Hopfield-type Neural Networks with Impulses. Journal of Mathematical Analysis and Applications 290, 436–451 (2004)

    Article  MathSciNet  Google Scholar 

  6. Yue, D., Xu, S.F., Liu, Y.Q.: Differential Inequality with Delay and Impulse and Its Applications to Design Robust Control. Control Theory and Applications 16, 519–524 (1999) (in Chinese)

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© 2005 Springer-Verlag Berlin Heidelberg

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Xu, B., Wang, Q., Shen, Y., Liao, X. (2005). Global Exponential Stability of Delayed Impulsive Hopfield Type Neural Networks. 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_27

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  • DOI: https://doi.org/10.1007/11427391_27

  • 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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