Titlebook: Stabilization of Elastic Systems by Collocated Feedback; Kaïs Ammari,Serge Nicaise Book 2015 Springer International Publishing Switzerland

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Asymptotic Behaviour of Concrete Dissipative Systems,We study the large time behavior of the solution of a homogenous string equation with a homogenous Dirichlet boundary condition at the left end and a homogenous Dirichlet or Neumann boundary condition at the right end. A pointwise interior actuator gives a linear viscous damping term.

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Systems with Delay,We end up this book by considering different examples of systems with delay for which our abstract framework can be applied.

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Book 2015omial, or weaker) for the closed loop problem is reduced to an observability estimate for the corresponding uncontrolled system combined with a boundedness property of the transfer function of the associated open loop system. A similar strategy is applied to systems where a delay term is added. The

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0075-8434 re a delay term is added. The book concludes with many concrete examples. This book is addressed to graduate students in mathematics or engineering and also to researchers with an interest in stabilization and control systems governed by partial differential equations.978-3-319-10899-5978-3-319-10900-8Series ISSN 0075-8434 Series E-ISSN 1617-9692

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0075-8434 of numerous concrete examplesBy introducing a new stabilization methodology, this book characterizes the stability of a certain class of systems. The stability (exponential, polynomial, or weaker) for the closed loop problem is reduced to an observability estimate for the corresponding uncontrolled

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