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Journal of Automation and Information Sciences

年間 12 号発行

ISSN 印刷: 1064-2315

ISSN オンライン: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Estimates of Stable Limit Cycles of Nonlinear Discrete Systems

巻 44, 発行 9, 2012, pp. 1-10
DOI: 10.1615/JAutomatInfScien.v44.i9.10
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要約

For rather large family of autonomous nonlinear discrete systems the conditions of the existence of invariant sets (stable limit cycles) are found. The methods of determining the upper-bound estimates of limit cycles are proposed. Illustrative examples are given. The main attention is paid to the determining the radius of the estimate of a limit cycle, since it determines the maximum deviation of the system from the origin during the motion of the system on the limit cycle.

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

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

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

によって引用された
  1. Hakimi Ali Reza, Binazadeh Tahereh, Robust limit cycle control in a class of nonlinear discrete-time systems, International Journal of Systems Science, 49, 15, 2018. Crossref

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