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Exponentially convergent state estimation for delayed switched recurrent neural networks

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Abstract

This paper deals with the delay-dependent exponentially convergent state estimation problem for delayed switched neural networks. A set of delay-dependent criteria is derived under which the resulting estimation error system is exponentially stable. It is shown that the gain matrix of the proposed state estimator is characterised in terms of the solution to a set of linear matrix inequalities (LMIs), which can be checked readily by using some standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed state estimator.

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References

  1. M.M. Gupta, L. Jin, N. Homma, Static and Dynamic Neural Networks (Wiley-Interscience, 2003).

  2. S. Arik, IEEE Trans. Circ. Syst. I 49, 1211 (2002).

    Article  MathSciNet  Google Scholar 

  3. J. Park, Chaos, Solitons & Fractals 37, 444 (2008).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. J. Cao, Int. J. Syst. Sci. 31, 1313 (2000).

    Article  MATH  Google Scholar 

  5. S. Arik, IEEE Trans. Neural Networks 13, 1239 (2002).

    Article  Google Scholar 

  6. C. Hua, C. Long, X. Guan, Phys. Lett. A 352, 335 (2006).

    Article  ADS  MATH  Google Scholar 

  7. T. Li, L. Guo, C. Sun, C. Lin, IEEE Trans. Neural Networks 18, 726 (2008).

    Google Scholar 

  8. V. Singh, Chaos, Solitons & Fractals 41, 348 (2009).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. S. Lee, T. Kim, J. Lim, Automatica 36, 917 (2000).

    Article  MathSciNet  MATH  Google Scholar 

  10. J. Daafouz, P. Riedinger, C. Iung, IEEE Trans. Autom. Control 47, 1883 (2002).

    Article  MathSciNet  Google Scholar 

  11. H. Huang, Y. Qu, H. Li, Phys. Lett. A 345, 345 (2005).

    Article  ADS  MATH  Google Scholar 

  12. K. Yuan, J. Cao, H. Li, IEEE Trans. Syst., Man, Cybernet., Part B 36, 1356 (2006).

    Article  Google Scholar 

  13. P. Li, J. Cao, Nonlinear Dynamics 49, 295 (2007).

    Article  MathSciNet  MATH  Google Scholar 

  14. X. Lou, B. Cui, Int. J. Autom. Comput. 4, 304 (2007).

    Article  Google Scholar 

  15. Z. Wang, D. Ho, X. Liu, IEEE Trans. Neural Networks 16, 279 (2005).

    Article  Google Scholar 

  16. Y. He, Q. Wang, M. Wu, C. Lin, IEEE Trans. Neural Networks 17, 1077 (2006).

    Article  MATH  Google Scholar 

  17. C. Lu, IEEE Trans. Circ. Syst. II 55, 1163 (2008).

    Article  Google Scholar 

  18. H. Huang, G. Feng, IEEE Trans. Circ. Syst. I 56, 846 (2009).

    Article  MathSciNet  Google Scholar 

  19. H. Huang, G. Feng, IEEE Trans. Circ. Syst. II 57, 36 (2010).

    Article  MathSciNet  Google Scholar 

  20. S. Boyd, L.E. Ghaoui, E. Feron, V. Balakrishinan, Linear Matrix Inequalities in Systems and Control Theory (SIAM, Philadelphia, PA, 1994).

  21. P. Gahinet, A. Nemirovski, A.J. Laub, M. Chilali, LMI Control Toolbox (The Mathworks Inc., 1995).

  22. E. Noldus, Int. J. Control 41, 947 (1985).

    Article  MathSciNet  MATH  Google Scholar 

  23. H. Bao, J. Cao, Phys. Scr. 83, 065004 (2011).

    Article  ADS  Google Scholar 

  24. H. Bao, J. Cao, Neural Networks 24, 19 (2011).

    Article  MATH  Google Scholar 

  25. X. Liu, J. Cao, IEEE Trans. Syst., Man, Cybernet., Part B 40, 1425 (2010).

    Article  MathSciNet  Google Scholar 

  26. H. Huang, G. Feng, J. Cao, IEEE Trans. Neural Networks 19, 1329 (2008).

    Article  Google Scholar 

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Authors and Affiliations

  1. Seoul National University of Science & Technology, 172 Gongneung 2-dong, Nowon-gu, 139-743, Seoul, Korea

    Choon Ki Ahn

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  1. Choon Ki Ahn
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Correspondence to Choon Ki Ahn.

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Ahn, C.K. Exponentially convergent state estimation for delayed switched recurrent neural networks. Eur. Phys. J. E 34, 122 (2011). https://doi.org/10.1140/epje/i2011-11122-8

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  • DOI: https://doi.org/10.1140/epje/i2011-11122-8

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