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Journal of Automation and Information Sciences

Erscheint 12 Ausgaben pro Jahr

ISSN Druckformat: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Invariant Sets (Limit Cycles) of Families of Autonomous Nonlinear Discrete Systems

Volumen 45, Ausgabe 2, 2013, pp. 24-32
DOI: 10.1615/JAutomatInfScien.v45.i2.30
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ABSTRAKT

For a rather large family of autonomous nonlinear discrete systems the conditions for the existence of invariant sets (stable limit cycles) are determined. The algorithm for calculation of upper-bound interval estimates for the limit cycles is presented. The algorithm is illustrated with an example.

REFERENZEN
  1. Kuntsevich V.M., Pshenichnyi B.N. , Minimal invariant sets of dynamic systems with bounded disturbances.

  2. Kuntsevich V.M., Polyak B.T. , Invariant sets of nonlinear discrete systems with bounded disturbances and control problems.

  3. Kuntsevich A.V., Kuntsevich V.M. , Control synthesis for invariant sets of families of linear and nonlinear discrete systems with bounded disturbances.

  4. Kuntsevich A.V., Kuntsevich V.M. , Invariant sets of families of linear and nonlinear discrete systems with bounded disturbances.

  5. Khlebnikov M.V., Polyak B.T., Kuntsevich V.M. , Optimization of linear systems under bounded external disturbances (technique of invariant ellipsoids).

  6. Kuntsevich A.V., Kuntsevich V.M. , Stability in the domain of nonlinear difference inclusions.

  7. Kuntsevich A.V., Kuntsevich V.M. , Estimates of stable limit cycles of nonlinear discrete systems.

  8. Kuntsevich V.M., Kurzhanski A.B. , Attainability domains for linear and some classes of nonlinear discrete systems and their control.

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