Differential Equations

, Volume 54, Issue 4, pp 497–508 | Cite as

Covering Method for Trajectory Generation and Orbital Decomposition of Systems

  • Yu. S. Belinskaya
  • V. N. Chetverikov
Control Theory


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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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Bauman Moscow State Technical UniversityMoscowRussia

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