Automation and Remote Control

, Volume 80, Issue 1, pp 16–29 | Cite as

Energy-Optimal Control of Harmonic Oscillator

  • A. A. GalyaevEmail author
  • P. V. Lysenko
Nonlinear Systems


The problem of optimal control of a harmonic oscillator is considered. The energy of oscillator at the final time instant is used as the optimization criterion. The optimal control and optimal value of energy as function of this time instant is determined. The result obtained was compared with the solution of the problem of time-optimal operation at bringing the oscillator in the state of rest.


optimal control Pontryagin maximum principle harmonic oscillator 


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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Trapeznikov Institute of Control SciencesRussian Academy of SciencesMoscowRussia

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