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Local controllability of a one-dimensional beam equation. (English) Zbl 1172.35325

Using the moment theory and the Nash-Moser theorem, the author proves the local controllability of a one-dimensional beam equation with clamped ends in a suitable pair of functional spaces for control and state.

MSC:

35B37 PDE in connection with control problems (MSC2000)
93C10 Nonlinear systems in control theory
93C20 Control/observation systems governed by partial differential equations
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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