A Survey Of Optimal Control Of Distributed Parameter Systems

Author : Alfred C. Robinson
Publisher : Unknown
Page : 54 pages
File Size : 41,9 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.

Author : S. P. Banks,A. J. Pritchard
Publisher : Elsevier
Page : 554 pages
File Size : 48,8 Mb
Release : 2014-05-18
Category : Technology & Engineering
ISBN : 9781483151120

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Control of Distributed Parameter Systems by S. P. Banks,A. J. Pritchard Pdf

Control of Distributed Parameter Systems covers the proceedings of the Second IFAC Symposium, Coventry, held in Great Britain from June 28 to July 1, 1977. The book focuses on the methodologies, processes, and techniques in the control of distributed parameter systems, including boundary value control, digital transfer matrix, and differential equations. The selection first discusses the asymptotic methods in the optimal control of distributed systems; applications of distributed parameter control theory of a survey; and dual variational inequalities for external eigenvalue problems. The book also ponders on stochastic differential equations in Hilbert space and their application to delay systems and linear quadratic optimal control problem over an infinite time horizon for a class of distributed parameter systems. The manuscript investigates the semigroup approach to boundary value control and stability of nonlinear distributed parameter systems. Topics include boundary control action implemented through a dynamical system; classical boundary value controls; stability of nonlinear systems; and feedback control on the boundary. The text also focuses on the functional analysis interpretation of Lyapunov stability; method of multipliers for a class distributed parameter systems; and digital transfer matrix approach to distributed system simulation. The selection is a dependable source of data for readers interested in the control of distributed parameter systems.

Author : J. L. Lions
Publisher : SIAM
Page : 98 pages
File Size : 52,7 Mb
Release : 1972-01-01
Category : Mathematics
ISBN : 161197061X

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Some Aspects of the Optimal Control of Distributed Parameter Systems by J. L. Lions Pdf

The applications of the theory of Optimal Control of distributed parameters is an extremely wide field and, although a large number of questions remain open, the whole subject continues to expand very rapidly. The author does not attempt to cover the field but does discuss a number of the more interesting areas of application.

Author : H. T. Banks
Publisher : SIAM
Page : 239 pages
File Size : 45,9 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.

Author : Wolfgang Desch,Franz Kappel,Karl Kunisch
Publisher : Birkhäuser
Page : 270 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034880015

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Control and Estimation of Distributed Parameter Systems by Wolfgang Desch,Franz Kappel,Karl Kunisch Pdf

Consisting of 16 refereed original contributions, this volume presents a diversified collection of recent results in control of distributed parameter systems. Topics addressed include - optimal control in fluid mechanics - numerical methods for optimal control of partial differential equations - modeling and control of shells - level set methods - mesh adaptation for parameter estimation problems - shape optimization Advanced graduate students and researchers will find the book an excellent guide to the forefront of control and estimation of distributed parameter systems.

Author : Dan Tiba
Publisher : Springer
Page : 166 pages
File Size : 46,5 Mb
Release : 2006-11-14
Category : Science
ISBN : 9783540467557

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Optimal Control of Nonsmooth Distributed Parameter Systems by Dan Tiba Pdf

The book is devoted to the study of distributed control problems governed by various nonsmooth state systems. The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control. In order to give the reader a better overview of the domain, several sections deal with topics that do not enter directly into the announced subject: boundary control, delay differential equations. In a subject still actively developing, the methods can be more important than the results and these include: adapted penalization techniques, the singular control systems approach, the variational inequality method, the Ekeland variational principle. Some prerequisites relating to convex analysis, nonlinear operators and partial differential equations are collected in the first chapter or are supplied appropriately in the text. The monograph is intended for graduate students and for researchers interested in this area of mathematics.

Author : J. L. Lions
Publisher : SIAM
Page : 98 pages
File Size : 41,9 Mb
Release : 1972-01-01
Category : Mathematics
ISBN : 9780898710045

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Some Aspects of the Optimal Control of Distributed Parameter Systems by J. L. Lions Pdf

Discusses a number of the more interesting areas in the application of the theory of Optimal Control of distributed parameters.

Author : Goong Chen,Irena Lasiecka,Jianxin Zhou
Publisher : CRC Press
Page : 376 pages
File Size : 46,6 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

Author : Ralph C. Smith,Michael A. Demetriou
Publisher : SIAM
Page : 283 pages
File Size : 50,5 Mb
Release : 2003-01-01
Category : Mathematics
ISBN : 9780898715484

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

Eleven chapters, written by experts in their respective fields, on topics ranging from control of the Navier-Stokes equations to nondestructive evaluation - all of which are modeled by distributed parameter systems.

Author : Charles Teo
Publisher : Academic Press
Page : 316 pages
File Size : 52,9 Mb
Release : 1984-08-21
Category : Computers
ISBN : 9780080956787

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Computational Methods for Optimizing Distributed Systems by Charles Teo Pdf

Optimal control theory of distributed parameter systems has been a very active field in recent years; however, very few books have been devoted to the studiy of computational algorithms for solving optimal control problems. For this rason the authors decided to write this book. Because the area is so broad, they confined themselves to optimal control problems involving first and second boundary-value problems of a linear second-order parabolic partial differential equation. However the techniques used are by no means restricted to these problems. They can be and in some cases already have been applied to problems involving other types of distributed parameter system. The authors aim is to devise computational algorithms for solving optimal control problems with particular emphasis on the mathematical theory underlying the algorithms. These algorithms are obtained by using a first-order strong variational method or gradient-type methods.

Author : Jean-Pierre Babary,Laurent Le Letty
Publisher : Elsevier
Page : 660 pages
File Size : 44,9 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.

Author : Erhard Bühler
Publisher : Springer-Verlag
Page : 170 pages
File Size : 47,8 Mb
Release : 2013-07-02
Category : Mathematics
ISBN : 9783663139041

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Topics in Identification and Distributed Parameter Systems by Erhard Bühler Pdf

Author : John E. Lagnese,David L. Russell,Luther W. White
Publisher : Springer Science & Business Media
Page : 253 pages
File Size : 51,6 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.

Author : K.A. Lurie
Publisher : Springer Science & Business Media
Page : 503 pages
File Size : 44,7 Mb
Release : 2013-11-21
Category : Science
ISBN : 9781475792621

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Applied Optimal Control Theory of Distributed Systems by K.A. Lurie Pdf

This book represents an extended and substantially revised version of my earlierbook, Optimal Control in Problems ofMathematical Physics,originally published in Russian in 1975. About 60% of the text has been completely revised and major additions have been included which have produced a practically new text. My aim was to modernize the presentation but also to preserve the original results, some of which are little known to a Western reader. The idea of composites, which is the core of the modern theory of optimization, was initiated in the early seventies. The reader will find here its implementation in the problem of optimal conductivity distribution in an MHD-generatorchannel flow.Sincethen it has emergedinto an extensive theory which is undergoing a continuous development. The book does not pretend to be a textbook, neither does it offer a systematic presentation of the theory. Rather, it reflects a concept which I consider as fundamental in the modern approach to optimization of dis tributed systems. Bibliographical notes,though extensive, do not pretend to be exhaustive as well. My thanks are due to ProfessorJean-Louis Armand and ProfessorWolf Stadler whose friendly assistance in translating and polishing the text was so valuable. I am indebted to Mrs. Kathleen Durand and Mrs. Colleen Lewis for the hard job of typing large portions of the manuscript.

Author : Nasir Uddin Ahmed,K. L. Teo
Publisher : New York : North Holland
Page : 456 pages
File Size : 47,8 Mb
Release : 1981
Category : Control theory
ISBN : UCAL:B4406868

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Optimal Control of Distributed Parameter Systems by Nasir Uddin Ahmed,K. L. Teo Pdf