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Link to original content: https://doi.org/10.1007/11816157_51
Passivity Analysis for Neuro Identifier with Different Time-Scales | SpringerLink
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Passivity Analysis for Neuro Identifier with Different Time-Scales

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Intelligent Computing (ICIC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4113))

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Abstract

Many physical systems contains fast and slow phenomenons. In this paper we propose a dynamic neural networks with different time-scales to model the nonlinear system. Passivity-based approach is used to derive stability conditions for neural identifer. Several stability properties, such as passivity, asymptotic stability, input-to-state stability and bounded input bounded output stability, are guaranteed in certain senses. Numerical examples are also given to demonstrate the effectiveness of the theoretical results.

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References

  1. Amari, S.: Competitive and Cooperative Aspects in Dynamics of Neural Excitation and Self-organization. Competition Cooperation Neural Networks 20, 1–28 (1982)

    Google Scholar 

  2. Grossberg, S.: Adaptive Pattern Classification and Universal Recording. Biol. Cybern. 23, 121–134 (1976)

    Article  MATH  MathSciNet  Google Scholar 

  3. Ioannou, P.A., Sun, J.: Robust Adaptive Control. Prentice-Hall, Englewood Cliffs (1996)

    MATH  Google Scholar 

  4. Jagannathan, S., Lewis, F.L.: Identification of Nonlinear Dynamical Systems Using Multilayered Neural Networks. Automatica 32(12), 1707–1712 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  5. Jin, L., Gupta, M.: Stable Dynamic Dackpropagation Learning in Recurrent Neural Networks. IEEE Trans. Neural Networks 10, 1321–1334 (1999)

    Article  Google Scholar 

  6. Liu, H., Sun, F., Sun, Z.: Stability Analysis and Synthesis of Fuzzy Singularly Perturbed Systems. IEEE Transactions on Fuzzy Systems 13(2), 273–284 (2005)

    Article  Google Scholar 

  7. Lu, H., He, Z.: Global Exponential Stability of Delayed Competitive Neural Networks with Different Time Scales. Neural Networks 18(3), 243–250 (2005)

    Article  MATH  Google Scholar 

  8. Meyer-Baese, A., Pilyugin, S.S., Chen, Y.: Global Exponential Stability of Competitive Neural Networks With Different Time Scales. IEEE Trans. on Neural Networks 14(3), 716–719 (2003)

    Article  Google Scholar 

  9. Ye, M., Zhang, Y.: Complete Convergence of Competitive Neural Networks with Different Time Scales. Neural Processing Letters 21(1), 53–60 (2005)

    Article  Google Scholar 

  10. Yu, W., Poznyak, A.S.: Indirect Adaptive Control via Parallel Dynamic Neural Networks. IEE Proceedings - Control Theory and Applications 146(1), 25–30 (1999)

    Article  Google Scholar 

  11. Yu, W., Li, X.: Some Stability Properties of Dynamic Neural Networks. IEEE Trans. Circuits and Systems, Part I 48(1), 256–259 (2001)

    MATH  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Sandoval, A.C., Yu, W., Li, X. (2006). Passivity Analysis for Neuro Identifier with Different Time-Scales. In: Huang, DS., Li, K., Irwin, G.W. (eds) Intelligent Computing. ICIC 2006. Lecture Notes in Computer Science, vol 4113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11816157_51

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  • DOI: https://doi.org/10.1007/11816157_51

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37271-4

  • Online ISBN: 978-3-540-37273-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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