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Control theory on lie groups

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Abstract

Lecture notes of an introductory course on control theory on Lie groups. Controllability and optimal control for left-invariant problems on Lie groups are addressed. A general theory is accompanied by concrete examples. The course is intended for graduate students; no preliminary knowledge of control theory or Lie groups is assumed.

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Authors and Affiliations

  1. Program Systems Institute, Pereslavl-Zalessky, Russia

    Yu. L. Sachkov

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  1. Yu. L. Sachkov
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Correspondence to Yu. L. Sachkov.

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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 27, Optimal Control, 2007.

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Sachkov, Y.L. Control theory on lie groups. J Math Sci 156, 381–439 (2009). https://doi.org/10.1007/s10958-008-9275-0

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