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Impulsive control of conservative periodic equations and systems: Variational approach

  • * Corresponding author: Pavel Drábek

    * Corresponding author: Pavel Drábek 
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  • Using the variational structure of the second order periodic problems we find an optimal impulsive control which forces the conservative system into a periodic motion. In particular, our main results concern the system of charged planar pendulums with external disturbances and neglected friction. Such a system might serve as a model for coupled micromechanical array.

    Mathematics Subject Classification: 34A37, 34C15, 34C25, 49J15.


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  • Figure 1.  A model of 2 coupled charged pendulums.

    Figure 2.  A model of $N$ mutually attracted pendulums.

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