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The speed-gradient method of control design used previously for problems of regulation and tracking is extended to oscillating systems with energy-based objective functions. The concept of swinging control is introduced, meaning achievement of arbitrary large level of the objective function by arbitrary small control level. The existence of swinging control for hamiltonian systems is established. Simulation results for pendulum swinging problem are demonstrated.
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Аlexander L. Fradkov (1996) studied this question.
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