Skip to main content

Synchronization of Impulsive Fuzzy Cellular Neural Networks with Parameter Mismatches

  • Conference paper
Advances in Neural Networks – ISNN 2007 (ISNN 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4492))

Included in the following conference series:

Abstract

In this paper, we study the effect of parameter mismatches on the fuzzy neural networks with impulses. Since it is impossible to make two non-identical neural networks complete synchronized, we study the synchronization of two neural networks in terms of quasi-synchronization. Using Lyapunov method and linear matrix inequality method, we obtain a sufficient condition for a global synchronization error bound of the two neural networks.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Arik, S.: Global Robust Stability of Delayed Neural Networks. IEEE Trans. Circ. Syst. I 50, 156–160 (2003)

    Article  MathSciNet  Google Scholar 

  2. Astakhov, V., Hasler, M., Kapitaniak, T., Shabunin, A., Anishchenko, V.: Effect of Parameter Mismatch on The Mechanism of Chaos Synchronization Loss in Coupled Systems. Physical Review E 58, 5620–5628 (1998)

    Article  Google Scholar 

  3. Cao, J., Li, P., Wang, W.: Global Synchronization in Arrays of Delayed Neural Networks with Constant and Delayed Coupling. Physics Letters A 353, 318–325 (2006)

    Article  Google Scholar 

  4. Cao, J., Li, H., Ho, D.: Synchronization Criteria of Lur’e Systems with Time-delay Feedback Control. Chaos Solitons & Fractals 23, 1285–1298 (2005)

    MATH  MathSciNet  Google Scholar 

  5. Huang, T.: Exponential Stability of Fuzzy Cellular Neural Networks with Distributed Delay. Physics Letters A 351, 48–52 (2006)

    Article  Google Scholar 

  6. Jalnine, A., Kim, S.-Y.: Characterization of The Parameter-mismatching Effect on The Loss of Chaos Synchronization. Physical Review E 65, 026210 (2002)

    Google Scholar 

  7. Leung, H., Zhu, Z.: Time-varying Synchronization of Chaotic Systems in The Presence of System Mismatch. Physical Review E 69, 026201 (2004)

    Google Scholar 

  8. Liu, Y., Tang, W.: Exponential Stability of Fuzzy Cellular Neural Networks with Constant and Time-varying Delays. Physics Letters A 323, 224–233 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  9. Li, C., Chen, G., Liao, X., Fan, Z.: Chaos Quasisynchronization Induced by Impulses with Parameter Mismatches. Chaos 16, 02102 (2006)

    Google Scholar 

  10. Li, C., Chen, G., Liao, X., Zhang, X.: Impulsive Synchronization of Chaotic Systems. Chaos 15, 023104 (2005)

    Google Scholar 

  11. Li, C., Liao, X., Yang, X., Huang, T.: Impulsive Stabilization and Synchronization of A Class of Chaotic Delay Systems. Chaos 15, 043103 (2005)

    Google Scholar 

  12. Li, C., Liao, X., Wong, K.-w.: Chaotic Lag Synchronization of Coupled Time-delayed Systems and Its Applications in Secure Communication. Physica D 194, 187–202 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  13. Liao, X., Wu, Z., Yu, J.: Stability Analyses for Cellular Neural Networks with Continuous Delay. Journal of Computational and Applied Mathematics 143, 29–47 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  14. Lu, J., Cao, J.: Adaptive Complete Synchronization of Two Identical or Different Chaotic (Hyperchaotic) Systems with Fully Unknown Parameters. Chaos 15, 043901 (2005)

    Google Scholar 

  15. Lu, W., Chen, T.: New Approach to Synchronization Analysis of Linearly Coupled Ordinary Differential Systems. Physica D 213, 214–230 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  16. Pecora, L., Carroll, T.: Synchronization in Chaotic systems. Physical Review Letters 64, 821–824 (1990)

    Article  MathSciNet  Google Scholar 

  17. Wang, W., Cao, J.: Synchronization in An Array of Linearly Coupled Networks with Time-varying Delay. Physica A 366, 197–211 (2006)

    Article  Google Scholar 

  18. Wu, C.W., Chua, L.O.: A Unified Framework for Synchronization and Control of Dynamical Systems. Int. J. Bifurcation Chaos 4, 979–989 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  19. Xiong, W., Xie, W., Cao, J.: Adaptive Exponential Synchronization of Delayed Chaotic Networks. Physica A 370, 832–842 (2006)

    Article  Google Scholar 

  20. Yang, T., Yang, L.B., Wu, C.W., Chua, L.O.: Fuzzy Cellular Neural Networks: Theory. In: Proc. of IEEE International Workshop on Cellular Neural Networks and Applications, pp. 181–186 (1996)

    Google Scholar 

  21. Yang, T., Yang, L.B., Wu, C.W., Chua, L.O.: Fuzzy Cellular Neural Networks: Applications. In: Proc. of IEEE International Workshop on Cellular Neural Networks and Applications, pp. 225–230 (1996)

    Google Scholar 

  22. Yang, T., Yang, L.B.: The Global Stability of Fuzzy Cellular Neural Network. Circuits and Systems I: Fundamental Theory and Applications 43, 880–883 (1996)

    Article  Google Scholar 

  23. Yang, Y.: Impulsive Control Theory. Springer, Berlin (2001)

    MATH  Google Scholar 

  24. Zhang, X., Liao, X., Li, C.: Impulsive Control, Complete and Lag Synchronization of Unified Chaotic System with Continuous Periodic Switch. Chaos Solitons & Fractals 26, 845–854 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  25. Zhou, J., Chen, T., Xiang, L.: Robust Synchronization of Delayed Neural Networks Based on Adaptive Control and Parameters Identification. Chaos Solitons & Fractals 27, 905–913 (2006)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Derong Liu Shumin Fei Zengguang Hou Huaguang Zhang Changyin Sun

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Huang, T., Li, C. (2007). Synchronization of Impulsive Fuzzy Cellular Neural Networks with Parameter Mismatches. In: Liu, D., Fei, S., Hou, Z., Zhang, H., Sun, C. (eds) Advances in Neural Networks – ISNN 2007. ISNN 2007. Lecture Notes in Computer Science, vol 4492. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72393-6_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-72393-6_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72392-9

  • Online ISBN: 978-3-540-72393-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics