Method for computing the stability margin of 2-D discrete systems

Access Full Text

Method for computing the stability margin of 2-D discrete systems

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

Buy article PDF
£12.50
(plus tax if applicable)
Add to cart
Buy Knowledge Pack
10 articles for £75.00
(plus taxes if applicable)
Add to cart

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:
 
 
 
 
 
Electronics Letters — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

© The Institution of Electrical Engineers
Published

A method to compute the stability margin of 2-D discrete systems described in state-space is presented. This method is based on results on the 1-D Lyapunov equation with complex coefficients.

Inspec keywords: multidimensional systems; stability; discrete systems

Other keywords: stability margin computing method; 1-D Lyapunov equation with complex coefficients; state-space; 2-D discrete systems

Subjects: Discrete control systems; Stability in control theory; Distributed parameter control systems

References

    1. 1)
      • Agathoklis, P.: `Estimation of the stability margin of 2-D discrete systems using the 2-D Lyapunov equation', Proc. 1985 Int. Symp. Circuits and Systems, June 1985, Kyoto, Japan, p. 1091–1092.
    2. 2)
      • P. Agathoklis , E.I. Jury , M. Mansour . The margin of stability of 2-D linear discrete systems. IEEE Trans. , 6 , 869 - 873
    3. 3)
      • R.P. Roesser . A discrete state-space model for linear image processing. IEEE Trans. , 1 - 10
    4. 4)
      • W.-S. Lu , E.B. Lee . Stability analysis for two-dimensional systems. IEEE Trans. , 455 - 461
    5. 5)
      • L.M. Roytman , M.N.S. Swamy , G. Eichmann . An efficient numerical scheme to compute 2-D stability thresholds. IEEE Trans. , 3 , 322 - 324
    6. 6)
      • W.-S. Lu , E.B. Lee . Stability analysis for two-dimensional systems via a Lyapunov approach. IEEE Trans. , 61 - 68
    7. 7)
      • W.S. Lu , A. Antoniou , P. Agathoklis . Stability of 2-D digital filters under parameter variations. IEEE Trans. , 5 , 476 - 482
    8. 8)
      • E. Walach , E. Zeheb . N-dimensional stability margins computation and a variable transformation. IEEE Trans. , 6 , 887 - 893
    9. 9)
      • E.I. Jury , S. Tzafestas . (1986) Stability of multidimensional systems and related problems, Multidimensional systems, techniques and applications.
    10. 10)
      • T.S. Huang . Stability of two-dimensional recursive filters. IEEE Trans. , 2 , 158 - 163
http://iet.metastore.ingenta.com/content/journals/10.1049/el_19900737
Loading

Related content

content/journals/10.1049/el_19900737
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading