New results for the analysis of linear systems with time-invariant delays

  title={New results for the analysis of linear systems with time-invariant delays},
  author={Jianrong Zhang and Carl R. Knospe and Panagiotis Tsiotras},
This paper presents a comparison system approach for the analysis of stability and H1 performance of linear time-invariant systems with unknown delays. The comparison system is developed by replacing the delay elements with certain parameter-dependent Pad! e approximations. It is shown using the special properties of the Pad! e approximation to e s that the value sets of these approximations provide outer and inner coverings for that of each delay element and that the robust stability of the… CONTINUE READING
Highly Cited
This paper has 47 citations. REVIEW CITATIONS
31 Citations
44 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 31 extracted citations


Publications referenced by this paper.
Showing 1-10 of 44 references

Robust stability test for dynamic systems with short delays by using Pad! e Approximation

  • Z Wang, H. Hu
  • Nonlinear Dynamics
  • 1999
Highly Influential
15 Excerpts

Some remarks on transformations used for stability and robust stability analysis of time-delay systems

  • VL Kharitonov, DA Melchor
  • In Proceedings of the 38th IEEE Conference on…
  • 1999
Highly Influential
4 Excerpts

Robustness analysis with time-delays

  • G. Scorletti
  • In Proceedings of the 36th IEEE Conference on…
  • 1997
Highly Influential
14 Excerpts

Robust stabilization and H1 control of uncertain linear time-delay systems

  • X Li, CE deSouza
  • In Proceedings of the 13th IFAC World Congress,
  • 1996
Highly Influential
7 Excerpts

Delay-dependent stability of linear systems with delayed state: An LMI approach

  • Niculescu S-I, AT Neto, Dion J-M, L Dugard
  • In Proceedings of the 34th IEEE Conference on…
  • 1995
Highly Influential
6 Excerpts

Convergence of a class of Pad! e approximations for delay systems

  • J. Lam
  • International Journal of Control
  • 1990
Highly Influential
15 Excerpts

Transfer functions of generalized Bessel polynomials

  • Martinez
  • IEEE Transactions on Circuits and Systems
  • 1977
Highly Influential
3 Excerpts

Similar Papers

Loading similar papers…