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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 印刷: 1064-2315
ISSN オンライン: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v44.i9.10
pages 1-10

Estimates of Stable Limit Cycles of Nonlinear Discrete Systems

Alexey V. Kuntsevich
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv
Vsevolod M. Kuntsevich
Institute of Space Research of National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Kiev, Ukraine

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.


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