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Petrov invariants of Hamiltonian systems with a control parameter

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Abstract

The problem is considered of the classification of Hamiltonian systems with a scalar control parameter relative to feedback transformations. Differential invariants of these systems, which are called Petrov invariants, are set up. The dimensions of algebras of these invariants are found. The conditions of global equivalence of regular Hamiltonian systems with the control parameter are found in terms of Petrov invariants.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    A. G. Kushner & V. V. Lychagin

  2. Moscow State University, Moscow, Russia

    A. G. Kushner

  3. University of Tromsø, Tromsø, Norway

    V. V. Lychagin

Authors
  1. A. G. Kushner
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  2. V. V. Lychagin
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Original Russian Text © A.G. Kushner, V.V. Lychagin, 2013, published in Avtomatika i Telemekhanika, 2013, No. 3, pp. 83–102.

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Kushner, A.G., Lychagin, V.V. Petrov invariants of Hamiltonian systems with a control parameter. Autom Remote Control 74, 385–400 (2013). https://doi.org/10.1134/S0005117913030053

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