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The axially moving string system is divided into two spans, i.e., a controlled span and an uncontrolled span, by a hydraulic touch-roll actuator which is located in the middle section of the string.
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The transverse vibration of the controlled span part of the string is controlled by the hydraulic touch-roll actuator, and the position of the actuator is considered as the right boundary of the controlled span part.
The Lyapunov method is employed to design a robust boundary control law and adaptation laws for ensuring the vibration reduction of the controlled span part.
The Lyapunov stability guarantees the convergence of the transverse vibration of the controlled span of the string as well as the estimation error of the unknown parameters to zero.
Even with selection carried out in a controlled manner by an expert researcher, the prospects for change during the span of a human lifetime are modest.
A controlled leak?
"A controlled emergency," he explained.
Was there a controlled experiment?
This was a controlled population.
It's a controlled risk".
Marijuana is a controlled drug.
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