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Discrete Dynamics in Nature and Society
Volume 2011, Article ID 381571, 9 pages
http://dx.doi.org/10.1155/2011/381571
Research Article

Delay-Dependent Stability Analysis and Synthesis for Uncertain Impulsive Switched System with Mixed Delays

Naval Aeronautical Engineering Institute Qingdao Branch, Qingdao 266041, China

Received 27 November 2010; Accepted 15 March 2011

Academic Editor: Guang Zhang

Copyright © 2011 Binbin Du and Xiaojie Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. D Liberzon, Switching in Systems and Control, Birkhäuser, Boston, Mass, USA, 2003. View at Zentralblatt MATH
  2. J Liu, X. Liu, and W.-C. Xie, “Delay-dependent robust control for uncertain switched systems with time-delay,” Nonlinear Analysis. Hybrid Systems, vol. 2, no. 1, pp. 81–95, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. R. Yuan, Z. Jing, and L. Chen, “Uniform asymptotic stability of hybrid dynamical systems with delay,” IEEE Transactions on Automatic Control, vol. 48, no. 2, pp. 344–348, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  4. S. Kim, S. Campbell, and X. Liu, “Stability of a class of linear switching systems with time delay,” IEEE Transactions on Circuits and Systems. I, vol. 53, no. 2, pp. 384–393, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  5. Z. G. Li, C. Y. Wen, and Y. C. Soh, “Unified approach for stability analysis of impulsive hybrid systems,” in Proceedings of the IEEE Conference on Decision and Control, vol. 5, pp. 4398–4403, 1999.
  6. H. Xu and K. L. Teo, “Robust stabilization of uncertain impulsive switched systems with delayed control,” Computers & Mathematics with Applications, vol. 56, no. 1, pp. 63–70, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  7. H. Xu, X. Liu, and K. L. Teo, “A LMI approach to stability analysis and synthesis of impulsive switched systems with time delays,” Nonlinear Analysis. Hybrid Systems, vol. 2, no. 1, pp. 38–50, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  8. H. Xu, X. Liu, and K. L. Teo, “Robust H stabilisation with definite attenuance of an uncertain impulsive switched system,” The ANZIAM Journal, vol. 46, no. 4, pp. 471–484, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. S.-H. Lee and J.-T. Lim, “Stability analysis of switched systems with impulse effects,” in Proceedings of the IEEE International Symposium on Intelligent Control, pp. 79–83, 1999.
  10. X. Ding and H. Xu, “Robust stability and stabilization of a class of impulsive switched systems,” Dynamics of Continuous Discrete and Impulsive system. Series B, vol. 2, pp. 795–798, 2005. View at Google Scholar
  11. Z.-H. Guan, D. J. Hill, and X. Shen, “On hybrid impulsive and switching systems and application to nonlinear control,” IEEE Transactions on Automatic Control, vol. 50, no. 7, pp. 1058–1062, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  12. K. Gu and S.-I. Niculescu, “Survey on recent results in the stability and control of time-delay systems,” in Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME, vol. 125, no. 2, pp. 158–165, 2003. View at Publisher · View at Google Scholar
  13. K. Gu, V. L. Khartnov, and J. Chen, Stability and Robust Stability of Time Delay Systems, Birkhauser, Boston, Mass, USA, 2003.
  14. X. Li and C. E. de Souza, “Delay-dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach,” IEEE Transactions on Automatic Control, vol. 42, no. 8, pp. 1144–1148, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet