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Covering Method for Trajectory Generation and Orbital Decomposition of Systems

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Abstract

Based on previously stated approaches, we propose a method for solving point-topoint steering problems in the case where a 2n-parametric family of solutions of a nonlinear system is known and for Liouville systems. Two examples of the helicopter motions in the vertical plane and the Kapitsa pendulum are considered to demonstrate the efficiency of the proposed method.

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Authors and Affiliations

  1. Bauman Moscow State Technical University, Moscow, 105005, Russia

    Yu. S. Belinskaya & V. N. Chetverikov

Authors
  1. Yu. S. Belinskaya
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  2. V. N. Chetverikov
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Correspondence to Yu. S. Belinskaya.

Additional information

Original Russian Text © Yu.S. Belinskaya, V.N. Chetverikov, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 4, pp. 502–513.

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Belinskaya, Y.S., Chetverikov, V.N. Covering Method for Trajectory Generation and Orbital Decomposition of Systems. Diff Equat 54, 497–508 (2018). https://doi.org/10.1134/S0012266118040079

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  • DOI: https://doi.org/10.1134/S0012266118040079

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