Modelling And Inverse Problems Of Control For Distributed Parameter Systems

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Estimation Techniques for Distributed Parameter Systems

Author : H.T. Banks,K. Kunisch
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 47,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461237006

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Estimation Techniques for Distributed Parameter Systems by H.T. Banks,K. Kunisch Pdf

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.

Research Directions in Distributed Parameter Systems

Author : Ralph C. Smith,Michael Demetriou
Publisher : SIAM
Page : 290 pages
File Size : 44,5 Mb
Release : 2003-01-01
Category : Biomedical modeling and computing
ISBN : 0898717523

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Research Directions in Distributed Parameter Systems by Ralph C. Smith,Michael Demetriou Pdf

Written by the plenary speakers for the Conference on Future Directions in Distributed Parameter Systems (October 2000), the volume addresses the state of the art, open questions, and important research directions in applications modeled by partial differential equations and delay systems. Topics include electromagnetic theory for dielectric and conductive materials, flow control, cardiovascular and respiratory models, homogenization and systems theory, optimal and geometric control, reduced-order models for large-scale systems, smart materials, and nondestructive evaluation and structural health monitoring for systems, including nuclear power plants.

Control and Optimal Design of Distributed Parameter Systems

Author : John E. Lagnese,David L. Russell,Luther W. White
Publisher : Springer Science & Business Media
Page : 253 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461384601

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Control and Optimal Design of Distributed Parameter Systems by John E. Lagnese,David L. Russell,Luther W. White Pdf

The articles in this volume focus on control theory of systems governed by nonlinear linear partial differential equations, identification and optimal design of such systems, and modelling of advanced materials. Optimal design of systems governed by PDEs is a relatively new area of study, now particularly relevant because of interest in optimization of fluid flow in domains of variable configuration, advanced and composite materials studies and "smart" materials which include possibilities for built in sensing and control actuation. The book will be of interest to both applied mathematicians and to engineers.

Control and Estimation in Distributed Parameter Systems

Author : H. T. Banks
Publisher : SIAM
Page : 239 pages
File Size : 45,7 Mb
Release : 1992-01-01
Category : Technology & Engineering
ISBN : 1611970989

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Control and Estimation in Distributed Parameter Systems by H. T. Banks Pdf

Research in control and estimation of distributed parameter systems encompasses a wide range of applications including both fundamental science and emerging technologies. The latter include smart materials (piezoceramics, shape memory alloys, magnetostrictives, electrorheological fluids) fabrication and testing, design of high-pressure chemical vapor deposition (CVD) reactors for production of microelectronic surfaces (e.g., semiconductors), while the former include groundwater contamination cleanup and other environmental modeling questions, climatology, flow control, and fluid-structure interactions as well as more traditional topics in biology, mechanics, and acoustics. These expository papers provide substantial stimulus to both young researchers and experienced investigators in control theory. Includes a comprehensive and lucid presentation that relates frequency domain techniques to state-space or time domain approaches for infinite-dimensional systems including design of robust stabilizing and finite-dimensional controllers for infinite-dimensional systems. It focuses on these two approaches to control design in an integrated system theoretic framework. This is excellent reading for researchers in both the frequency domain and time domain control communities. In other articles, topics considered include pointwise control of distributed parameter systems, bounded and unbounded sensors and actuators, stabilization issues for large flexible structures, and an overview discussion of damping models for flexible structures.

Control of Distributed Parameter Systems 1989

Author : M. Amouroux,A. El Jai
Publisher : Elsevier
Page : 523 pages
File Size : 48,5 Mb
Release : 2014-06-28
Category : Technology & Engineering
ISBN : 9781483298818

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Control of Distributed Parameter Systems 1989 by M. Amouroux,A. El Jai Pdf

This volume presents state-of-the-art reports on the theory, and current and future applications of control of distributed parameter systems. The papers cover the progress not only in traditional methodology and pure research in control theory, but also the rapid growth of its importance for different applications. This title will be of interest to researchers working in the areas of mathematics, automatic control, computer science and engineering.

Control of Distributed Parameter Systems 1982

Author : Jean-Pierre Babary,Laurent Le Letty
Publisher : Elsevier
Page : 660 pages
File Size : 48,8 Mb
Release : 2014-05-16
Category : Technology & Engineering
ISBN : 9781483153230

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Control of Distributed Parameter Systems 1982 by Jean-Pierre Babary,Laurent Le Letty Pdf

Control of Distributed Parameter Systems 1982 covers the proceeding of the Third International Federation of Automatic Control (IFAC) Symposium on Control of Distributed Parameter Systems. The book reviews papers that tackle issues concerning the control of distributed parameter systems, such as modeling, identification, estimation, stabilization, optimization, and energy system. The topics that the book tackles include notes on optimal and estimation result of nonlinear systems; approximation of the parameter identification problem in distributed parameters systems; and optimal control of a punctually located heat source. This text also encompasses the stabilization of nonlinear parabolic equations and the decoupling approach to the control of large spaceborne antenna systems. Stability of Hilbert space contraction semigroups and the tracking problem in the fractional representation approach are also discussed. This book will be of great interest to researchers and professionals whose work concerns automated control systems.

Spatio-Temporal Modeling of Nonlinear Distributed Parameter Systems

Author : Han-Xiong Li,Chenkun Qi
Publisher : Springer Science & Business Media
Page : 175 pages
File Size : 47,8 Mb
Release : 2011-02-24
Category : Mathematics
ISBN : 9789400707412

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Spatio-Temporal Modeling of Nonlinear Distributed Parameter Systems by Han-Xiong Li,Chenkun Qi Pdf

The 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.

Inverse Problems and Related Topics

Author : Gen Nakamura,Saburou Saitoh,Jin Kean Seo
Publisher : CRC Press
Page : 268 pages
File Size : 54,9 Mb
Release : 2000-02-28
Category : Mathematics
ISBN : 1584881917

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Inverse Problems and Related Topics by Gen Nakamura,Saburou Saitoh,Jin Kean Seo Pdf

Inverse problems arise in many disciplines and hold great importance to practical applications. However, sound new methods are needed to solve these problems. Over the past few years, Japanese and Korean mathematicians have obtained a number of very interesting and unique results in inverse problems. Inverse Problems and Related Topics compiles papers authored by some of the top researchers in Korea and Japan. It presents a number of original and useful results and offers a unique opportunity to explore the current trends of research in inverse problems in these countries. Highlighting the existence and active work of several Japanese and Korean groups, it also serves as a guide to those seeking future scientific exchange with researchers in these countries.

Dynamical Inverse Problems of Distributed Systems

Author : Vyacheslav I. Maksimov
Publisher : Walter de Gruyter GmbH & Co KG
Page : 280 pages
File Size : 48,5 Mb
Release : 2014-07-24
Category : Mathematics
ISBN : 9783110944839

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Dynamical Inverse Problems of Distributed Systems by Vyacheslav I. Maksimov Pdf

This monograph deals with problems of dynamical reconstruction of unknown variable characteristics (distributed or boundary disturbances, coefficients of operator etc.) for various classes of systems with distributed parameters (parabolic and hyperbolic equations, evolutionary variational inequalities etc.).

Control Of Nonlinear Distributed Parameter Systems

Author : Goong Chen,Irena Lasiecka,Jianxin Zhou
Publisher : CRC Press
Page : 376 pages
File Size : 43,7 Mb
Release : 2001-03-14
Category : Mathematics
ISBN : 9780203904190

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Control Of Nonlinear Distributed Parameter Systems by Goong Chen,Irena Lasiecka,Jianxin Zhou Pdf

An examination of progress in mathematical control theory applications. It provides analyses of the influence and relationship of nonlinear partial differential equations to control systems and contains state-of-the-art reviews, including presentations from a conference co-sponsored by the National Science Foundation, the Institute of Mathematics a

A Survey of Optimal Control of Distributed-parameter Systems

Author : Alfred C. Robinson
Publisher : Unknown
Page : 54 pages
File Size : 48,6 Mb
Release : 1969
Category : Control theory
ISBN : UOM:39015017422778

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A Survey of Optimal Control of Distributed-parameter Systems by Alfred C. Robinson Pdf

The report is a survey of theoretical and computational methods in the field of optimal control of distributed parameter systems. This includes systems described by integral equations and partial differential equations. The various studies which have been done are grouped according to the method employed. A number of applications and potential applications of these methods are discussed, and certain deficiencies in the current state of knowledge are noted. Difficulties and opportunities in practical applications are discussed, and suggestions are offered for directions of research to render the results more readily usable. A list of references is included numbering more than 250 items: papers, report, and books.