Advertisement

Automation and Remote Control

, Volume 65, Issue 11, pp 1800–1807 | Cite as

Observability and Identifiability of the States of the Two-parameter Discrete System over a Commutative Ring

  • I. V. Gaishun
Article
  • 29 Downloads

Abstract

Consideration was given to a class of two-parameter discrete systems defined over a commutative ring with identity. An observability criterion was established, and an operation restoring uniquely the initial function from the known output sequence was specified at that. An algorithm to construct the identifier determining the states in a finite number of steps was proposed.

Keywords

Mechanical Engineer System Theory Finite Number Commutative Ring Discrete System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

REFERENCES

  1. 1.
    Kaczorek, T., Two-dimensional Linear Systems, Berlin: Springer-Verlag, 1985.Google Scholar
  2. 2.
    Gaishun, I.V., Mnogoparametricheskie sistemy upravleniya (Multiple-parameter Control Systems), Minsk: Nauka i Tekhnika, 1996.Google Scholar
  3. 3.
    Pratt, W.K., Digital Image Processing, New York: Wiley, 1978. Translated under the title Tsifrovaya obrabotka izobrazhenii, Moscow: Nauka, dy1982.Google Scholar
  4. 4.
    Edvards, J.B. and Owens, D.H., Analysis and Control of Multipass Processes, Chichester: Willey, 1982.Google Scholar
  5. 5.
    Amman, N., Owens, D.H., and Rogers, E., Predicative Linearing Control, Int. J. Control, 1998, vol. 69(2), pp. 203–226.Google Scholar
  6. 6.
    Blyumin, S.L. and Faradzhev, R.G., Analysis and Design of Finite Linear Sequential Cellular Machines, Avtom. Telemekh., 1981, no. 6, pp. 57–66.Google Scholar
  7. 7.
    Gaishun, I.V., Two-parameter Discrete Systems over the Residue Ring and Some of Their Properties, Avtom. Telemekh., 2002, no. 11, pp. 24–31.Google Scholar
  8. 8.
    Gaishun, I.V., Designing Nilpotent Two-parameter Discrete Systems over a Commutative Ring, Diff Uravn., 2003, vol. 39, no. 2, pp. 253–260.Google Scholar
  9. 9.
    Lang, S., Algebra, Reading: Addison-Wesley, 1965. Translated under the title Algebra, Moscow:Mir, dy1968.Google Scholar
  10. 10.
    Kurosh, A.G., Lektsii po obshchei algebre (Lectures on General Algebra), Moscow: Nauka, 1973.Google Scholar
  11. 11.
    Lidl, R. and Niederreiter, H., Finite Fields, Cambridge: Cambridge Univ. Press, 1984. Translated under the title Konechnye polya, Moscow: Mir, dy1988.Google Scholar
  12. 12.
    Vladimirov, V.S., Generalized Functions over the Field of p-adic Numbers, Usp. Mat. Nauk, 1988, vol. 43, no. 5(263), pp. 17–53.Google Scholar
  13. 13.
    Kurosh, A.G., Teoriya grupp (Theory of Groups), Moscow: Nauka, 1967.Google Scholar
  14. 14.
    Pontryagin, L.S., Nepreryvnye gruppy (Continuous Groups), Moscow: Nauka, 1973.Google Scholar
  15. 15.
    Kwakernaak, H. and Sivan, R., Linear Optimal Control Systems, New York: Wiley, 1972. Translated under the title Lineinye optimal'nye sistemy upravleniya, Moscow: Mir, dy1977.Google Scholar

Copyright information

© MAIK “Nauka/Interperiodica” 2004

Authors and Affiliations

  • I. V. Gaishun
    • 1
  1. 1.Institute of MathematicsBelarussian National Academy of SciencesMinskBelarus

Personalised recommendations