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Mathematical Problems in Engineering
Volume 2009, Article ID 457468, 14 pages
http://dx.doi.org/10.1155/2009/457468
Research Article

Output Feedback Stabilization of Linear Time-Varying Uncertain Delay Systems

1Department of Electrical and Electronic Engineering, Shinshu University, 4-17-1 Wakasato, Nagano 380-8553, Japan
2Department of Business Administration and Information, Setsunan University, 17-8 Ikeda-naka-machi, Neyagawa, Osaka 572-8508, Japan

Received 27 February 2009; Accepted 24 May 2009

Academic Editor: John Burns

Copyright © 2009 Tomoaki Hashimoto and Takashi Amemiya. 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. M. S. Mahmoud and N. F. Al-Muthairi, “Quadratic stabilization of continuous time systems with state-delay and norm-bounded time-varying uncertainties,” IEEE Transaction on Automatic Control, vol. 39, no. 10, pp. 2135–2139, 1994. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. S.-I. Niculescu, “H memoryless control with an α-stability constraint for time-delay systems: an LMI approach,” IEEE Transaction on Automatic Control, vol. 43, no. 5, pp. 739–743, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  3. E. Fridman and U. Shaked, “Parameter dependent stability and stabilization of uncertain time-delay systems,” IEEE Transaction on Automatic Control, vol. 48, no. 5, pp. 861–866, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  4. K. H. Wei, “Quadratic stabilizability of linear systems with structural independent time-varying uncertainties,” IEEE Transaction on Automatic Control, vol. 35, no. 3, pp. 268–277, 1990. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. T. Amemiya and G. Leitmann, “A method for designing a stabilizing control for a class of uncertain linear delay systems,” Dynamics and Control, vol. 4, no. 2, pp. 147–167, 1994. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. T. Amemiya, “A stabilizing control for a class of uncertain delay systems with limited measurable state variables,” Dynamics and Control, vol. 7, no. 3, pp. 235–262, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. T. Amemiya, “Triangular configuration of uncertain systems stabilizable by means of feedback controller,” Applied Mathematics and Computation, vol. 120, no. 1–3, pp. 45–54, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  8. T. Hashimoto and T. Amemiya, “Controllability and observability invariance of linear time-invariant uncertain systems,” in Proceedings of the International Automatic Control Conference, Tainan, Taiwan, 2008, CD-ROM FA06-4.
  9. T. Hashimoto and T. Amemiya, “A note on a criterion for M-matrix,” Computational Mathematics and Modeling, vol. 20, no. 3, pp. 318–325, 2009. View at Google Scholar