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Titlebook: Exact Controllability and Stabilization of the Wave Equation; Enrique Zuazua Textbook 2024 The Editor(s) (if applicable) and The Author(s)

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Modelling and Controlling Hydropower Plantshere in the interior of the domain. We introduce and use LaSalle‘s invariance principle and build suitable Lyapunov functionals, as perturbations of the energy, allowing to get explicit decay rates as a function of the dissipative nonlinearity.
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https://doi.org/10.1007/978-3-658-00811-6solutions under general conditions on the partition of the boundary and on the nonlinearity. We also prove explicit decay rates under suitable assumptions on the damping term. In addition, we present a second proof of the exponential decay for the linear dissipation, of interest when dealing with mo
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https://doi.org/10.1007/978-3-031-58857-0Wave equation; Stabilization; Control; Lyapunov functionals; Energy estimates
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Textbook 2024ons and their control. Whether you are a seasoned mathematician or a newcomer to the field, this book serves as an indispensable guide, offering a thorough introduction and essential tools for understanding and controlling wave phenomena..
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