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ISSN Druckformat: 1064-2315
ISSN Online: 2163-9337
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Invariant Sets (Limit Cycles) of Families of Autonomous Nonlinear Discrete Systems
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.
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Kuntsevich V.M., Pshenichnyi B.N. , Minimal invariant sets of dynamic systems with bounded disturbances.
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Kuntsevich V.M., Polyak B.T. , Invariant sets of nonlinear discrete systems with bounded disturbances and control problems.
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Kuntsevich A.V., Kuntsevich V.M. , Control synthesis for invariant sets of families of linear and nonlinear discrete systems with bounded disturbances.
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Kuntsevich A.V., Kuntsevich V.M. , Invariant sets of families of linear and nonlinear discrete systems with bounded disturbances.
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Khlebnikov M.V., Polyak B.T., Kuntsevich V.M. , Optimization of linear systems under bounded external disturbances (technique of invariant ellipsoids).
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Kuntsevich A.V., Kuntsevich V.M. , Stability in the domain of nonlinear difference inclusions.
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Kuntsevich A.V., Kuntsevich V.M. , Estimates of stable limit cycles of nonlinear discrete systems.
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Kuntsevich V.M., Kurzhanski A.B. , Attainability domains for linear and some classes of nonlinear discrete systems and their control.