Galerkin Approximation for Inverse Problems for Nonautonomous Nonlinear Distributed Systems
Author: H. T. Banks
Publisher:
Published: 1988
Total Pages: 28
ISBN-13:
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Author: H. T. Banks
Publisher:
Published: 1988
Total Pages: 28
ISBN-13:
DOWNLOAD EBOOKAuthor: Han-Xiong Li
Publisher: Springer Science & Business Media
Published: 2011-02-24
Total Pages: 175
ISBN-13: 940070741X
DOWNLOAD EBOOKThe purpose of this volume is to provide a brief review of the previous work on model reduction and identifi cation of distributed parameter systems (DPS), and develop new spatio-temporal models and their relevant identifi cation approaches. In this book, a systematic overview and classifi cation on the modeling of DPS is presented fi rst, which includes model reduction, parameter estimation and system identifi cation. Next, a class of block-oriented nonlinear systems in traditional lumped parameter systems (LPS) is extended to DPS, which results in the spatio-temporal Wiener and Hammerstein systems and their identifi cation methods. Then, the traditional Volterra model is extended to DPS, which results in the spatio-temporal Volterra model and its identification algorithm. All these methods are based on linear time/space separation. Sometimes, the nonlinear time/space separation can play a better role in modeling of very complex processes. Thus, a nonlinear time/space separation based neural modeling is also presented for a class of DPS with more complicated dynamics. Finally, all these modeling approaches are successfully applied to industrial thermal processes, including a catalytic rod, a packed-bed reactor and a snap curing oven. The work is presented giving a unifi ed view from time/space separation. The book also illustrates applications to thermal processes in the electronics packaging and chemical industry. This volume assumes a basic knowledge about distributed parameter systems, system modeling and identifi cation. It is intended for researchers, graduate students and engineers interested in distributed parameter systems, nonlinear systems, and process modeling and control.
Author:
Publisher:
Published: 1988
Total Pages: 968
ISBN-13:
DOWNLOAD EBOOKAuthor: Saber Elaydi
Publisher: World Scientific
Published: 2002
Total Pages: 362
ISBN-13: 9789810247201
DOWNLOAD EBOOKThis volume covers a wide range of areas in mathematics and mathematics education. There is emphasis on applied mathematics, including partial differential equations, dynamical systems, and difference equations. Other areas represented include algebra and number theory, statistics, and issues in mathematics education.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)
Author: H.T. Banks
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 328
ISBN-13: 1461237009
DOWNLOAD EBOOKThe 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: Institute for Computer Applications in Science and Engineering
Publisher:
Published: 1989
Total Pages: 24
ISBN-13:
DOWNLOAD EBOOKAuthor: Society for Industrial and Applied Mathematics
Publisher:
Published: 1990
Total Pages: 782
ISBN-13:
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Publisher:
Published: 1994
Total Pages:
ISBN-13:
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Publisher:
Published: 1988
Total Pages: 64
ISBN-13:
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