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International Symposium on Neural Networks

ISNN 2005: Advances in Neural Networks – ISNN 2005 pp 199–202Cite as

Stability Analysis of Uncertain Neural Networks with Linear and Nonlinear Time Delays

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

Abstract

A method is proposed for stability analysis of neural networks with linear and nonlinear time delays. Given a neural network and the corresponding generalized algebraic Riccati equation with two unknown positive matrices, using the Razumikhin-type theory, the problem of insuring the globally asymptotic stability of the neural networks with linear and nonlinear time delays is obtained.

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References

  1. Liang, X.B., Wu, L.D.: Globally Exponential Stability of a Class of Neural Circuits. IEEE Trans. Circuits Syst. I 46, 748–751 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  2. Liao, X.X., Xiao, D.M.: Globally Exponential Stability of Hopfield Neural Networks with Time-varying Delays. ACTA Electronica Sinica 28, 1–4 (2000)

    Google Scholar 

  3. Cao, J.D., Li, Q.: On the Exponential Stability and Periodic Solution of Delayed Cellular Neural Networks. J. Math. Anal. and Appl. 252, 50–64 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  4. Zhang, Y., Heng, P.A., Leung, K.S.: Convergence Analysis of Cellular Neural Networks with Unbounded Delay. IEEE Trans. Circuits Syst. I 48, 680 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  5. Li, S.Y., Xu, D.Y.: Exponential Attractions Domain and Exponential Convergent Rate of Associative Memory Neural Networks with Delays. Control Theory and Applications 19, 442–444 (2002)

    MATH  Google Scholar 

  6. Liao, X.X., Wang, J.: Algebraic Criteria for Global Exponential Stability of Cellular Neural Networks with Multiple Time Delays. IEEE Trans. Circuits and Systems I. 50, 268–275 (2003)

    Article  MathSciNet  Google Scholar 

  7. 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. Circuits and Syst. I 50, 1353–1358 (2003)

    Article  MathSciNet  Google Scholar 

  8. Sun, C., Feng, C.: Exponential Periodicity of Continuous-time and Discrete-time Neural Networks with Delays. Neural Processing Letters 19, 131–146 (2004)

    Article  MathSciNet  Google Scholar 

  9. Zeng, Z.G., Wang, J., Liao, X.X.: Stability Analysis of Delayed Cellular Neural Networks Described Using Cloning Templates. IEEE Trans. Circuits and Syst. I 51, 2313–2324 (2004)

    Article  MathSciNet  Google Scholar 

  10. Wang, Z.S., He, H.L., Liao, X.X.: Stability Analysis of Uncertain Neural Networks with Delay. In: Yin, F.-L., Wang, J., Guo, C. (eds.) ISNN 2004. LNCS, vol. 3173, pp. 44–48. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  11. Xu, B.G., Liu, Y.Q.: An Improved Razumikhin Type Theorem and Its Applications. IEEE Transaction on Automatic Control 39, 839–841 (1994)

    Article  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. College of Sciences, Naval University of Engineering, Wuhan, Hubei, 430033, China

    Hanlin He

  2. Department of Electrical Engineering, ZhongYuan Institute of Technology, Zhengzhou, Henan, 450007, China

    Zhongsheng Wang

  3. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, China

    Xiaoxin Liao

Authors
  1. Hanlin He
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  2. Zhongsheng Wang
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  3. Xiaoxin Liao
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Editor information

Editors and Affiliations

  1. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

    Jun Wang

  2. The Key Laboratory of Optoelectric Technology & Systems, Ministry of Education, China

    Xiaofeng Liao

  3. Computational Intelligence Laboratory, School of Computer Science and Engineering, University of Electronic Science and Technology of China, 610054, Chengdu, P.R. China

    Zhang Yi

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© 2005 Springer-Verlag Berlin Heidelberg

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Cite this paper

He, H., Wang, Z., Liao, X. (2005). Stability Analysis of Uncertain Neural Networks with Linear and Nonlinear Time Delays. 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_30

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  • DOI: https://doi.org/10.1007/11427391_30

  • 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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