Automatic Control and Computer Sciences

, Volume 42, Issue 6, pp 295–299 | Cite as

On the stability of bilinear free systems

Article
  • 32 Downloads

Abstract

Problems of stability of stationary and nonstationary free bilinear discrete systems over a field GF(p) are investigated. Criteria of asymptotic stability of a system status are found, and some properties of the above-mentioned notions are studied.

Key words

bilinear discrete system stability equilibrium state asymptotically stable state 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Speranskii, D.V., “On the Connection between Stability and Synchronizability of the Linear Automatons over Different Fields”, AVT, 2000. no. 1, 63–75.Google Scholar
  2. 2.
    Speranskii, D.V., “Connection between Stability and Synchronizability of Nonstationary Linear Automatons over Different Fields”, Elektronnoe Modelirovanie, 2001. vol. 3, no. 5, 22–32.Google Scholar
  3. 3.
    Speranskii, D.V., “Experiments with Linear and Bilinear Finite State Automatons: Education Guide”, Saratov: Izd. Sarat. Univ., 2004.Google Scholar
  4. 4.
    Pervozvanskii, A.A., “Course of Theory of an Automatic Control”, Moscow: Nauka, 1986.Google Scholar
  5. 5.
    Streitz, V., “Methods of the Space of States in Theory of Linear Discrete Systems”, Moscow: Nauka, 1985.Google Scholar

Copyright information

© Allerton Press, Inc. 2008

Authors and Affiliations

  1. 1.Saratov State UniversitySaratovRussia

Personalised recommendations