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Control Time in Systems of Chaotic Behavior. II. Its Estimation

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Abstract

The control time of dynamic systems is estimated by a method based on the properties of a sequence of reachable sets. It is shown to depend on the rate of growth of the volume of reachable sets. The method for studying controllability is applicable to systems with chaotic behavior of trajectories. For control systems generated by neutral mappings, an asymptotic estimate for the control time is found under arbitrarily small controls.

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Authors and Affiliations

  1. St. Petersburg State Polytechnical University, St. Petersburg, Russia

    S. M. Khryashchev

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  1. S. M. Khryashchev
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Khryashchev, S.M. Control Time in Systems of Chaotic Behavior. II. Its Estimation. Automation and Remote Control 65, 1782–1792 (2004). https://doi.org/10.1023/B:AURC.0000047892.96055.0c

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  • DOI: https://doi.org/10.1023/B:AURC.0000047892.96055.0c

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