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

Robust stability for perturbed large-scale time-delay systems

Robust stability for perturbed large-scale time-delay systems

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.

A robust stability criterion for perturbed large-scale time-delay systems with delay dependence is presented. The properties of a matrix measure and a comparison theorem are used in the formulation. The robust stability criterion obtained eliminates the need to solve the complex Lyapunov equation and can be used to estimate the size of the delay time for which stability is guaranteed. An example is given to illustrate the proposed method.

References

    1. 1)
      • A. Hmamed . Note on the stability of large-scale systems withdelays. Int. J. Syst. Sci. , 7 , 1083 - 1089
    2. 2)
      • W.A. Coppel . (1965) Stability and asymptotic behavior of differentialequations.
    3. 3)
      • J. Hale . (1977) Theory of functional differential equation.
    4. 4)
      • A. Halanay . (1966) Differential equation: stability oscillation,time lags.
    5. 5)
      • V. Lakshmikantham , S. Leela . (1969) Differential and integral inequalities.
    6. 6)
      • J. Lyou , Y.S. Kim , Z. Bien . A note on the stability ofa class of interconnected dynamic systems. Int. J. Control , 4 , 743 - 747
    7. 7)
      • Z. Hu . Decentralized stabilisation of large scale interconnectionsystem. IEEE Trans. , 1 , 180 - 182
    8. 8)
      • S.J. Ho , I.R. Horng , J.H. Chou . Decentralized stabilisationof large-scale systems with structured uncertainties. Int. J. Syst. Sci. , 3 , 425 - 434
    9. 9)
      • J. Lunze . (1992) Feedback control of large-scale systems.
    10. 10)
      • T. Mori , N. Fukuma , M. Kuwahar . Simple stability criteriafor single and composite linear systems with time delays. Int. J. Control , 6 , 1175 - 1184
    11. 11)
      • W.J. Wang , C.C. Song . A new stability criterion forlarge scale systems with delays. Control Theory Adv. Technol. , 3 , 315 - 322
    12. 12)
      • M. Vidyasagar . (2002) Nonlinear systems analysis.
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-cta_19960304
Loading

Related content

content/journals/10.1049/ip-cta_19960304
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address