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Elementary Feedback Stabilization of the Linear Reaction-Convection-Diffusion Equation and the Wave Equation [electronic resource] / by Weijiu Liu.

By: Liu, Weijiu [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Mathématiques et Applications: 66Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Description: X, 296 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642046131.Subject(s): Mathematics | Differential equations, partial | Mathematics | Partial Differential Equations | Applications of Mathematics | ControlDDC classification: 515.353 Online resources: Click here to access online
Contents:
Examples of Control Systems -- Elementary Functional Analysis -- Finite Dimensional Systems -- Linear Reaction-Convection-Diffusion Equation -- One-dimensional Wave Equation -- Higher-dimensional Wave Equation.
In: Springer eBooksSummary: This book addresses the feedback stabilization of the linear reaction-convection-diffusion equation and the linear wave equation. Both interior and boundary control problems are discussed. Methods employed to handle the problems include the eigenfunction expansion, integral transform, perturbed energy method, and optimal control technique. These powerful methods are frequently used for solving control problems of partial differential equations. Unlike the existing advanced control theory books written in an abstract setting, this book presents control theory by means of concrete examples. Therefore, this book is easy to read. Once readers learn about the ideas and methods from these concrete control examples, they can apply them to solve other control problems of partial differential equations.
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Examples of Control Systems -- Elementary Functional Analysis -- Finite Dimensional Systems -- Linear Reaction-Convection-Diffusion Equation -- One-dimensional Wave Equation -- Higher-dimensional Wave Equation.

This book addresses the feedback stabilization of the linear reaction-convection-diffusion equation and the linear wave equation. Both interior and boundary control problems are discussed. Methods employed to handle the problems include the eigenfunction expansion, integral transform, perturbed energy method, and optimal control technique. These powerful methods are frequently used for solving control problems of partial differential equations. Unlike the existing advanced control theory books written in an abstract setting, this book presents control theory by means of concrete examples. Therefore, this book is easy to read. Once readers learn about the ideas and methods from these concrete control examples, they can apply them to solve other control problems of partial differential equations.

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