Skip to main content

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6839))

Included in the following conference series:

  • 3411 Accesses

Abstract

In this paper, the exponential stability of a class of nonlinear switched systems with time-varying disturbances is considered. A new piecewise time-varying Lyapunov functionals which are decreasing at switching times by construction are introduced to investigate exponential stability of switched delay systems, sufficient conditions expressed as linear matrix inequalities are obtained.

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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Morse, A.: Control using logic-based switching. LNCIS, vol. 222. Springer, London (1997)

    Book  MATH  Google Scholar 

  2. Van Der Schaft, A., Schumacher, H.: An introduction to hybrid dynamical systems. LNCIS, vol. 251. Springer, London (2000)

    Book  MATH  Google Scholar 

  3. Daafouz, J., Riedinger, P., Lung, C.: Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach. IEEE Trans. Automat. Contr. 47, 1883–1887 (2002)

    Article  MathSciNet  Google Scholar 

  4. Branicky, M.S.: Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Trans. Automat. Contr. 43(4), 475–482 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  5. Peleties, P., Wicks, M., DeCarlo, R.: Switched controller synthesis for quadratic stabilization of a pair of unstable linear systems. European Journal of Control 4, 140–147 (1998)

    Article  MATH  Google Scholar 

  6. Zhai, G., Hu, B., Yasuda, K., Michael, A.N.: Stability analysis of switched systems with stable and unstable subsystems: An average dwell time approach. In: Proceeding of the American Control Conference, Chicago, Illinois, USA, pp. 200–204 (2000)

    Google Scholar 

  7. Peterson, I.R.: A stabilization algorithm for a class of uncertain linear system. Syst. Control Lett. 8(4), 351–357 (1987)

    Article  MathSciNet  Google Scholar 

  8. Li, X., Souza, C.E.: Criteria for robust stability and stabilization of uncertain linear system with state delay. Automatica 33, 1657–1662 (1997)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Liu, X., Zhong, S., Xiang, C. (2012). Exponential Stability of Nonlinear Switched Delay Systems. In: Huang, DS., Gan, Y., Gupta, P., Gromiha, M.M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence. ICIC 2011. Lecture Notes in Computer Science(), vol 6839. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25944-9_81

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-25944-9_81

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25943-2

  • Online ISBN: 978-3-642-25944-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics