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Journal of Control Science and Engineering
Volume 2010 (2010), Article ID 106780, 6 pages
http://dx.doi.org/10.1155/2010/106780
Research Article

Robust Exponential Stabilization of Uncertain Impulsive Bilinear Time-Delay Systems with Saturating Actuators

Institute of System Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, China

Received 24 September 2010; Accepted 14 November 2010

Academic Editor: Onur Toker

Copyright © 2010 Yang Shujie et al. 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. V. Lakshmikantham, D. D. Bainov, and P. S. Simeonov, Theoery of Impulsive Differential Equations, World Scientific, Singapore, 1989.
  2. D. D. Bainov and P. S. Simeonov, Systems with Impulsive Effect: Stability, Theory and Applications, Ellis Horwood, Chichester, UK, 1989.
  3. Z. Li, C. B. Soh, and X. Xu, “Stability of impulsive differential systems,” Journal of Mathematical Analysis and Applications, vol. 216, no. 2, pp. 644–653, 1997. View at Publisher · View at Google Scholar · View at Scopus
  4. Z. Li, C. B. Soh, and X. Xu, “Robust stability of a class of hybrid dynamic uncertain systems,” International Journal of Robust and Nonlinear Control, vol. 8, no. 12, pp. 1059–1072, 1998. View at Google Scholar · View at Scopus
  5. Z. G. Li, C. Y. Wen, and Y. C. Soh, “Analysis and design of impulsive control systems,” IEEE Transactions on Automatic Control, vol. 46, no. 6, pp. 894–897, 2001. View at Google Scholar · View at Scopus
  6. T. Yang, Impulsive Systems and Control: Theory and Applications, Nova Science, New York, NY, USA, 2001.
  7. W. H. Chen and W. X. Zheng, “Robust stability and H-control of uncertain impulsive systems with time-delay,” Automatica, vol. 45, no. 1, pp. 109–117, 2009. View at Publisher · View at Google Scholar · View at Scopus
  8. A. Barreiro and A. Baños, “Delay-dependent stability of reset systems,” Automatica, vol. 46, no. 1, pp. 216–221, 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. H. Xu and K. L. Teo, “Robust stabilization of uncertain impulsive switched systems with delayed control,” Computers and Mathematics with Applications, vol. 56, no. 1, pp. 63–70, 2008. View at Publisher · View at Google Scholar
  10. Y. Liu, A. Eberhard, and K. L. Teo, “A Numerical method for a class of mixed switching and impulsive optimal control problems,” Computers and Mathematics with Applications, vol. 52, no. 5, pp. 625–636, 2006. View at Publisher · View at Google Scholar · View at Scopus
  11. S. Ma and C. Zhang, “Robust stability and H control for uncertain discrete Markovian jump singular systems with mode-dependent time-delay,” International Journal of Robust and Nonlinear Control, vol. 19, no. 9, pp. 965–985, 2009. View at Publisher · View at Google Scholar · View at Scopus
  12. A. T. Fuller, “In-the-large stability of relay and saturating control systems with linear controllers,” International Journal of Control, vol. 10, no. 4, pp. 457–480, 1969. View at Google Scholar · View at Scopus
  13. E. D. Sontag and H. J. Sussmann, “Nonlinear output feedback design for linear systems with saturating controls,” in Proceedings of the 29th IEEE Conference on Decision and Control, pp. 3414–3416, December 1990. View at Scopus
  14. H. Y. Su, J. Chu, R. Q. Lu, and X. F. Ji, Robust Control Theory of Uncertain Systems with Timedelays, Science Press, Beijing, China, 2007.