Wave Motion in a Vibrating String
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چکیده
Waves are familiar to us all--such as ocean waves, sound waves, light waves, and waves in a string. Waves may appear to be traveling or appear to be standing still. There are those being transported by a medium as for the ocean or in a guitar string and those that travel best through empty space such as the electromagnetic spectrum including visible light. Waves are a common means by which energy is transmitted in our physical world--the energy of the sun reaching and heating the earth, a clap of thunder vibrating our eardrums, or a vibration traveling down a string and back again.
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Tracking Control of a Vibrating String with an Interior Mass Viewed as Delay System
A vibrating string, modelled by the wave equation, with an interior mass is considered. It is viewed as a linear delay system. A trajectory tracking problem is solved using a new type of controllability.
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