Your browser does not support JavaScript!
http://iet.metastore.ingenta.com
1887

New stability criterion for a class of linear systems with time-varying delay and nonlinear perturbations

New stability criterion for a class of linear systems with time-varying delay and nonlinear perturbations

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

Buy article PDF
£12.50
(plus tax if applicable)
Buy Knowledge Pack
10 articles for £75.00
(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
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IEE Proceedings - Control Theory and Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

The problem of robust stability for linear time-delay systems under nonlinear perturbations is discussed. The delay is assumed to be time-varying. A less conservative delay-dependent robust stability condition is derived by using some free matrices to express the relationship of the terms in the Leibniz–Newton formula within the framework of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed method.

References

    1. 1)
      • S. Boyd , L. El Ghaoui , E. Feron , V. Balakrishnan . (1994) Linear matrix inequalities in systems and control theory.
    2. 2)
    3. 3)
      • J. Hale , Verduyn , S.M. Lunel . (1993) Introduction to functional differential equations.
    4. 4)
    5. 5)
    6. 6)
    7. 7)
      • A. Goubet-Batholomeus , M. Dambrine , J.P. Richard . Stability of perturbed systems with time-varying delays. Syst. Control Lett. , 155 - 163
    8. 8)
    9. 9)
      • K.K. Shyu , J.J. Yan . Robust stability of uncertain time-delay systems and its stabilization by variable structure control. Int. J. Control , 237 - 246
    10. 10)
    11. 11)
      • Z.Q. Zuo , Y.J. Wang . Robust stabilization for non-linear discrete-time systems. Int. J. Control , 384 - 388
    12. 12)
      • D.D. Siljak , D.M. Stipanovic . Robust stabilization of non-linear systems: the LMI approach. Math. Probl. Eng. , 461 - 493
    13. 13)
    14. 14)
      • S.S. Wang , B.S. Chen , T.P. Lin . Robust stability of uncertain time-delays systems. Int. J. Control , 963 - 976
    15. 15)
    16. 16)
      • S.-I. Niculescu , C.E. de Souza , L. Dugard , J.-M. Dion . Robust exponential stability with time-varying delays. IEEE Trans. Autom. Control , 743 - 748
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-cta_20045258
Loading

Related content

content/journals/10.1049/ip-cta_20045258
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address