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Asymptotic theory of attainable sets to linear periodic impulsive control systems

  • Systems Theory and General Control Theory
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Journal of Computer and Systems Sciences International Aims and scope

Abstract

In this paper, asymptotic large-time dynamics of attainable sets to linear periodic control systems with bounded total impulse of control is studied. Asymptotic formulas for attainable sets and their shapes, i.e., the same sets considered up to an arbitrary nonsingular linear transformation, are found. It is shown that all limit shapes are obtained as the join of the limit shapes for neutral, stable-neutral, and unstable-neutral system components.

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Authors and Affiliations

  1. Institute for Systems Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia

    E. V. Goncharova

  2. Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, Moscow, 117526, Russia

    A. I. Ovseevich

Authors
  1. E. V. Goncharova
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  2. A. I. Ovseevich
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Additional information

Original Russian Text © E.V. Goncharova, A.I. Ovseevich, 2010, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2010, No. 4, pp. 3–12.

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Goncharova, E.V., Ovseevich, A.I. Asymptotic theory of attainable sets to linear periodic impulsive control systems. J. Comput. Syst. Sci. Int. 49, 515–523 (2010). https://doi.org/10.1134/S1064230710040015

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  • DOI: https://doi.org/10.1134/S1064230710040015

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