Skip to main content

Global Stabilization for Delayed Fuzzy Inertial Neural Networks

  • Conference paper
  • First Online:
Advances in Neural Networks – ISNN 2019 (ISNN 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11555))

Included in the following conference series:

  • 1887 Accesses

Abstract

This paper studies the global stabilization problem for a class of fuzzy inertial neural networks (FINN) with time delays and deals with the FINN directly by non-reduced order method. By Lyapunov theory and some analytical techniques, some criteria of global asymptotic and exponential stabilization for the considered FINN are obtained. An example is given to show the effectiveness and validity of the theoretical results.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

References

  1. Liu, X., Zeng, Z., Wen, S.: Implementation of memristive neural networks with full-function Pavlov associative memory. IEEE Trans. Circuits Syst. I Reg. Papers 63(9), 1454–1463 (2016)

    Google Scholar 

  2. Hayakawa, Y., Nakajima, K.: Design of the inverse function delayed neural networks for solving combinatorial optimization problems. IEEE Trans. Neural Netw. 21, 224–237 (2010)

    Google Scholar 

  3. Cheng, G., Zhou, P., Han, J.: Learning rotation-invariant convolutional neural networks for object detection in VHR optical remote sensing images. IEEE Trans. Geosci. Remote Sens. 54, 7405–7415 (2016)

    Google Scholar 

  4. Zhao, X., Shi, P., Zheng, X., Zhang, J.: Intelligent tracking control for a class of uncertain high-order nonlinear systems. IEEE Trans. Neural Netw. Learn. Syst. 27, 1976–1982 (2016)

    Google Scholar 

  5. Guo, Z., Yang, S., Wang, J.: Global synchronization of memristive neural networks subject to random disturbances via distributed pinning control. Neural Netw. 84, 67–79 (2016)

    Google Scholar 

  6. Yang, W., Yu, W., Cao, J., Alsaadi, F., Hayat, T.: Global exponential stability and lag synchronization for delayed memristive fuzzy Cohen-Grossberg BAM neural networks with impulses. Neural Netw. 98, 122–153 (2018)

    Google Scholar 

  7. Zhou, Y., Li, C., Chen, L., Huang, T.: Global exponential stability of memristive Cohen-Grossberg neural networks with mixed delays and impulse time window. Neurocomputing 31, 2384–2391 (2018)

    Google Scholar 

  8. Wen, S., Zeng, Z., Huang, T., Yu, X.: Noise cancellation of memristive neural networks. Neural Netw. 60, 74–83 (2014)

    Google Scholar 

  9. Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modelling and control. IEEE Trans. Syst. Man Cybern. 15, 116–132 (1985)

    Google Scholar 

  10. Zhao, X., Yin, Y., Niu, B., Zheng, X.: Stabilization for a class of switched nonlinear systems with novel average dwell time switching by T-S fuzzy modeling. IEEE Trans. Cybern. 46, 1952–1957 (2016)

    Google Scholar 

  11. Li, Y., Liu, L., Feng, G.: Adaptive finite-time controller design for T-S fuzzy systems. IEEE Trans. Cybern. 47(9), 2425–2436 (2017). https://doi.org/10.1109/TCYB.2017.2671902

    Google Scholar 

  12. Babcock, K., Westervelt, R.: Stability and dynamics of simple electronic neural networks with added inertia. Physica D 23, 464–469 (1986)

    Google Scholar 

  13. Cao, J., Wan, Y.: Matrix measure strategies for stability and synchronization of inertial BAM network with time delays. Neural Netw. 53, 165–172 (2014)

    Google Scholar 

  14. Tu, Z., Cao, J., Hayat, T.: Matrix measure based dissipativity analysis for inertial delayed uncertain neural networks. Neural Netw. 75, 47–55 (2016)

    Google Scholar 

  15. Li, X., Li, X., Hu, C.: Some new results on stability and synchronization for delayed inertial neural networks based on non-reduced order method. Neural Netw. 96, 91–100 (2017)

    Google Scholar 

  16. Zhang, G., Zeng, Z.: Exponential stability for a class of memristive neural networks with mixed time-varying delays. Appl. Math. Comput. 321, 544–554 (2018)

    Google Scholar 

  17. Xiao, Q., Huang, Z., Zeng, Z.: Passivity analysis for memristor-based inertial neural networks with discrete and distributed delays. IEEE Trans. Syst. Man Cybern: Syst. 49, 375–385 (2019)

    Google Scholar 

  18. Xiao, Q., Huang, T., Zeng, Z.: Passivity and passification of fuzzy memristive inertial neural networks on time scales. IEEE Trans. Fuzzy Syst. 26, 3342–3355 (2018)

    Google Scholar 

  19. Xiao, Q., Huang, T., Zeng, Z.: Global exponential stability and synchronization for a class of generalized discrete-time inertial neural networks with time delays. IEEE Trans. Neural Netw. Learn. Syst. https://doi.org/10.1109/TNNLS.2018.2874982

  20. Gong, S., Yang, S., Guo, Z., Huang, T.: Global exponential synchronization of inertial memristive neural networks with time-varying delay via nonlinear controller. Neural Netw. 102, 138–148 (2018)

    Google Scholar 

  21. Guo, Z., Gong, S., Huang, T.: Finite-time synchronization of inertial memristive neural networks with time delay via delay-dependent control. Neurocomputing 293, 100–107 (2018)

    Google Scholar 

  22. Popov, V.: Hyperstability of Control Systems. Springer, New York (1973)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhigang Zeng .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Xiao, Q., Huang, T., Zeng, Z. (2019). Global Stabilization for Delayed Fuzzy Inertial Neural Networks. In: Lu, H., Tang, H., Wang, Z. (eds) Advances in Neural Networks – ISNN 2019. ISNN 2019. Lecture Notes in Computer Science(), vol 11555. Springer, Cham. https://doi.org/10.1007/978-3-030-22808-8_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-22808-8_7

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-22807-1

  • Online ISBN: 978-3-030-22808-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics