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Reachability and Controllability of Discrete-Time Systems under Control Actions Bounded in Magnitude and Norm

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Abstract

Control systems described by linear difference equations are studied, assuming that control actions are bounded both in magnitude (geometrically) and norm (integrally). The states in the phase space to which a system can be transferred from the origin and the states from which a system can be transferred to the origin are studied. Examples are given.

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Authors and Affiliations

  1. Russian Academy of Sciences, Moscow State Aviation Institute, Institute of Space Research, Moscow, Russia

    A. N. Sirotin

  2. Research Institute of Mechanics, Moscow State University, Moscow, Russia

    A. M. Formal'skii

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  1. A. N. Sirotin
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  2. A. M. Formal'skii
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Sirotin, A.N., Formal'skii, A.M. Reachability and Controllability of Discrete-Time Systems under Control Actions Bounded in Magnitude and Norm. Automation and Remote Control 64, 1844–1857 (2003). https://doi.org/10.1023/B:AURC.0000008423.93495.be

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  • DOI: https://doi.org/10.1023/B:AURC.0000008423.93495.be

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