Computational Mathematics and Modeling

, Volume 24, Issue 2, pp 271–278 | Cite as

Some algorithms for inversion of vector discrete systems

  • A. V. Kraev

We investigate the inversion problem for a discrete dynamical system with a vector input. Algorithms are proposed that solve the problem subject to given constraints (a wave model of the input is assumed given). Applicability conditions for the proposed algorithms are derived and bounds on their rate of convergence are determined. The results generalize a previously studied problem of inversion of a discrete system with a scalar input.


Vector Input Wave Model Unknown Input Discrete Dynamical System Inversion Problem 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    S. K. Korovin, A. V. Kraev, and V. V. Fomichev, “Some inversion algorithms for discrete systems,” Nelineinaya Dinamika i Upravlenie, No. 4, Fizmatlit, Moscow (2004), pp. 119–126.Google Scholar
  2. 2.
    A. Isidori, Nonlinear Control Systems, Springer, London (1995).MATHCrossRefGoogle Scholar
  3. 3.
    S. K. Korovin and V. V. Fomichev, State Observers for Linear Systems with Uncertainty [in Russian], Fizmatlit, Moscow (2007).Google Scholar
  4. 4.
    A. V. Il’in, S. K. Korovin, and V. V. Fomichev, Robust Inversion Methods for Dynamical Systems [in Russian], Fizmatlit, Moscow (2009).Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • A. V. Kraev
    • 1
  1. 1.Faculty of Computation Mathematics and CyberneticsLomonosov Moscow State UniversityMoscowRussia

Personalised recommendations