Velocity Stabilization of a Wave Equation With a Nonlinear Dynamic Boundary Condition
نویسندگان
چکیده
This paper deals with a one-dimensional wave equation nonlinear dynamic boundary condition and Neumann-type control acting on the other extremity. We consider class of stabilizing feedbacks that only depend velocity at controlled The uncontrolled is subject to first-order term, which may represent anti-damping. Initial data taken in optimal energy space associated problem. Exponential decay mechanical investigated different cases. Stability attractivity suitable invariant sets are established.
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ژورنال
عنوان ژورنال: IEEE Transactions on Automatic Control
سال: 2022
ISSN: ['0018-9286', '1558-2523', '2334-3303']
DOI: https://doi.org/10.1109/tac.2021.3136086