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Estimation On Nonlinear Damping In Second Order Distributed Parameter Systems
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Book Synopsis Estimation Techniques for Distributed Parameter Systems by : H.T. Banks
Download or read book Estimation Techniques for Distributed Parameter Systems written by H.T. Banks and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research detailed in this monograph was originally motivated by our interest in control problems involving partial and delay differential equations. Our attempts to apply control theory techniques to such prob lems in several areas of science convinced us that in the need for better and more detailed models of distributed/ continuum processes in biology and mechanics lay a rich, interesting, and challenging class of fundamen tal questions. These questions, which involve science and mathematics, are typical of those arising in inverse or parameter estimation problems. Our efforts on inverse problems for distributed parameter systems, which are infinite dimensional in the most common realizations, began about seven years ago at a time when rapid advances in computing capabilities and availability held promise for significant progress in the development of a practically useful as well as theoretically sound methodology for such problems. Much of the research reported in our presentation was not begun when we outlined the plans for this monograph some years ago. By publishing this monograph now, when only a part of the originally intended topics are covered (see Chapter VII in this respect), we hope to stimulate the research and interest of others in an area of scientific en deavor which has exceeded even our optimistic expectations with respect to excitement, opportunity, and stimulation. The computer revolution alluded to above and the development of new codes allow one to solve rather routinely certain estimation problems that would have been out of the question ten years ago.
Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781722208783 Total Pages :34 pages Book Rating :4.2/5 (87 download)
Book Synopsis Estimation on Nonlinear Damping in Second Order Distributed Parameter Systems by : National Aeronautics and Space Administration (NASA)
Download or read book Estimation on Nonlinear Damping in Second Order Distributed Parameter Systems written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-02 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: An approximation and convergence theory for the identification of nonlinear damping in abstract wave equations is developed. It is assumed that the unknown dissipation mechanism to be identified can be described by a maximal monotone operator acting on the generalized velocity. The stiffness is assumed to be linear and symmetric. Functional analytic techniques are used to establish that solutions to a sequence of finite dimensional (Galerkin) approximating identification problems in some sense approximate a solution to the original infinite dimensional inverse problem. Banks, H. T. and Reich, Simeon and Rosen, I. G. Unspecified Center NAS1-18107; NAS1-18605; F49620-86-C-0111; AF-AFOSR-0356-87; NSF MCS-85-04316; NAG1-517...
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Book Synopsis World Congress of Nonlinear Analysts '92 by : V. Lakshmikantham
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Book Synopsis System Modeling and Optimization by : John Cagnol
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Book Synopsis Numerical Analysis and Its Applications by : Zhilin Li
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Book Synopsis Analytic Semigroups: Applications to Inverse Problems for Flexible Structures by : H. T. Banks
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Book Synopsis Vibration Control Methods of Mechanical Distributed Parameter Systems by : Xueyan Xing
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