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Controllability of a Nonhomogeneous String and Ring under Time Dependent Tension

S. A. AvdoninB. P. BelinskiyL. Pandolfi — 2010

Mathematical Modelling of Natural Phenomena

We study controllability for a nonhomogeneous string and ring under an axial stretching tension that varies with time. We consider the boundary control for a string and distributed control for a ring. For a string, we are looking for a control () ∈ (0) that drives the state solution to rest. We show that for a ring, two forces are required to achieve controllability. The controllability problem is reduced to a moment problem for...

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