Results on reachable set estimation for linear systems with both discrete and distributed delays

Results on reachable set estimation for linear systems with both discrete and distributed delays

For access to this article, please select a purchase option:

Buy article PDF
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
IET Control Theory & Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

This study reconsiders the problem of reachable set bounding for a class of linear systems in the presence of both discrete and distributed delays. Some new criteria are established where the useful term is retained when we estimate the upper bound of the derivative of the Lyapunov–Krasovskii functional. The free-weighting matrix technique is utilised to realise such a purpose. Moreover, the special structure constraint on the final expression of the derivative of the Lyapunov functional in the previous result of authors is removed. Consequently, a tighter bound of the reachable set is obtained. Numerical examples are given to illustrate the merit of the proposed method comparing with the existing ones.


    1. 1)
    2. 2)
      • T. Hu , Z. Lin . (2001) Control systems with actuator saturation: analysis and design.
    3. 3)
    4. 4)
    5. 5)
    6. 6)
      • S. Boyd , L.E. Ghaoui , E. Feron , V. Balakrishnan . (1994) Linear matrix inequalities in system and control theory.
    7. 7)
    8. 8)
      • Gu, K.: `An integral inequality in the stability problem of time-delay systems', Proc. 39th IEEE Conf. on Decision and Control, 2000, p. 2805–2810.
    9. 9)
      • J. Hale . (1977) Theory of functional differential equations.
    10. 10)
    11. 11)
    12. 12)
    13. 13)
    14. 14)
    15. 15)
    16. 16)
    17. 17)
    18. 18)
    19. 19)
      • D. Yue , Q. Han . Robust H∞ filter design of uncertain descriptor systems with discrete and distributed delays. IEEE Trans. Signal Proc. , 3200 - 3212
    20. 20)

Related content

This is a required field
Please enter a valid email address