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Classification of Controllable Systems on Low-Dimensional Solvable Lie Groups

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Abstract

Right-invariant control systems on simply connected solvable Lie groups are studied. A complete and explicit description of controllable single-input right-invariant systems on such Lie groups up to dimension 6 is obtained.

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Authors and Affiliations

  1. Program Systems Institute, Russian Academy of Sciences, 152140, Pereslavl-Zalessky, Russia

    Yu. L. Sachkov

  2. SISSA, Via Beirut 2–4, Trieste, Italy

    Yu. L. Sachkov

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  1. Yu. L. Sachkov
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Sachkov, Y.L. Classification of Controllable Systems on Low-Dimensional Solvable Lie Groups. Journal of Dynamical and Control Systems 6, 159–217 (2000). https://doi.org/10.1023/A:1009577803607

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  • DOI: https://doi.org/10.1023/A:1009577803607

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