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The Heavy Chain PDE: Rapid Stabilization by Backstepping

Krstic, Miroslav
arXiv (OAI Expanded) · Papers
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optimization-and-controlsystems-and-control
We consider boundary stabilization of a heavy chain hanging from a moving trolley with no tip load. Because the tension vanishes at the free end, the wave speed vanishes there; in Riemann coordinates the model becomes a degenerate $2\times2$ hyperbolic system in which the coupling is singular and th
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