Journal of Computer and Systems Sciences International

, Volume 50, Issue 1, pp 14–19

Optimal rotation deceleration of a dynamically asymmetric body in a resistant medium


  • L. D. Akulenko
    • Institute for Problems of MechanicsRussian Academy of Sciences
  • Ya. S. Zinkevich
    • Odessa State Academy of Civil Engineering and Architecture
  • D. D. Leshchenko
    • Odessa State Academy of Civil Engineering and Architecture
Optimal Control

DOI: 10.1134/S1064230711010035

Cite this article as:
Akulenko, L.D., Zinkevich, Y.S. & Leshchenko, D.D. J. Comput. Syst. Sci. Int. (2011) 50: 14. doi:10.1134/S1064230711010035


A minimum-time problem on deceleration of rotation of a free body is studied. The body is subject to a retarding torque of viscous friction. The body is assumed to be dynamically asymmetric. An optimal control law for deceleration of rotation of the body is synthesized, and the corresponding time and phase trajectories are determined.

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© Pleiades Publishing, Ltd. 2011