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Global steady-state stabilization and controllability of 1D semilinear wave equations. (English) Zbl 1101.93039
The authors consider the problem of exact boundary controllability of semilinear wave equation in one-space dimension. The main result asserts that it is possible to move from any steady-state to any other one by means of a boundary control, provided that they are in the same connected component of the set of steady-states. The proof relies on an explicit construction of the control in a feedback form, and of a Lyapunov functional.

MSC:
93C20 Control/observation systems governed by partial differential equations
35B37 PDE in connection with control problems (MSC2000)
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