Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2006 (2006), Article ID 42489, 10 pages
http://dx.doi.org/10.1155/MPE/2006/42489

Discrete-time systems with time-varying time delay: Stability and stabilizability

Département de Génie Mécanique, École Polytechnique de Montréal, C.P. 6079, succ. Centre-Ville, Montréal, QC, Canada H3C 3A7

Received 7 December 2005; Accepted 2 January 2006

Copyright © 2006 El-Kébir Boukas. 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. E.-K. Boukas and Z. K. Liu, “Robust H control of discrete-time Markovian jump linear systems with mode-dependent time-delays,” IEEE Transactions on Automatic Control, vol. 46, no. 12, pp. 1918–1924, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. E.-K. Boukas and Z. K. Liu, Deterministic and Stochastic Time Delay Systems, Birkhäuser, Massachusetts, 2002. View at Zentralblatt MATH
  3. E.-K. Boukas and P. Shi, “-control for discrete-time linear systems with Markovian jumping parameters,” in Proceedings of 36th IEEE Conference on Decision and Control, pp. 4134–4139, California, 1997. View at Google Scholar
  4. Y.-C. Chang, S.-F. Su, and S.-S. Chen, “LMI approach to static output feedback simultaneous stabilization of discrete-time interval systems with time delay,” in Proceedings of International Conference on Machine Learning and Cybernetics, vol. 7, pp. 4144–4149, Shanghai, 2004. View at Google Scholar
  5. H. Gao, J. Lam, C. Wang, and Y. Wang, “Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay,” IEE Proceedings-Control Theory and Applications, vol. 151, no. 6, pp. 691–698, 2004. View at Publisher · View at Google Scholar
  6. J. H. Kim and H. B. Park, “H state feedback control for generalized continuous/discrete time-delay system,” Automatica, vol. 35, no. 8, pp. 1443–1451, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. H. Mukaidani, S. Sakaguchi, and T. Tsuji, “LMI-based neurocontroller for guaranteed cost control of uncertain time-delay systems,” in Proceedings of IEEE International Symposium on Circuits and Systems, vol. 4, pp. 3047–3050, Kobe, 2005. View at Google Scholar
  8. P. Shi, E.-K. Boukas, and R. K. Agarwal, “Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay,” IEEE Transactions on Automatic Control, vol. 44, no. 11, pp. 2139–2144, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. S.-H. Song and J.-K. Kim, “H control of discrete-time linear systems with norm-bounded uncertainties and time delay in state,” Automatica, vol. 34, no. 1, pp. 137–139, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet