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Author : Jacques Louis Lions
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.:/5 (225 download)
Download or read book Some remarks on the optimal control of distributed systems written by Jacques Louis Lions and published by . This book was released on 1979 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ivan V. Sergienko
Publisher : Springer Science & Business Media
ISBN 13 : 9781402081088
Total Pages : 410 pages
Book Rating : 4.0/5 (81 download)
Download or read book Optimal Control of Distributed Systems with Conjugation Conditions written by Ivan V. Sergienko and published by Springer Science & Business Media. This book was released on 2005-02-10 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: At present, in order to resolve problems of ecology and to save mineral resources for future population generations, it is quite necessary to know how to maintain nature arrangement in an efficient way. It is possible to achieve a rational nature arrangement when analyzing solutions to problems concerned with optimal control of distributed systems and with optimization of modes in which main ground medium processes are functioning (motion of liquids, generation of temperature fields, mechanical deformation of multicomponent media). Such analysis becomes even more difficult because of heterogeneity of the region that is closest to the Earth surface, and thin inclusions/cracks in it exert their essential influence onto a state and development of the mentioned processes, especially in the cases of mining. Many researchers, for instance, A.N. Tikhonov - A.A. Samarsky [121], L. Luckner - W.M. Shestakow [65], Tien-Mo Shih, K.L. Johnson [47], E. Sanchez-Palencia [94] and others stress that it is necessary to consider how thin inclusions/cracks exert their influences onto development of these processes, while such inclusions differ in characteristics from main media to a considerable extent (moisture permeability, permeability to heat, bulk density or shear strength may be mentioned). Xll An influence exerted from thin interlayers onto examined processes is taken into account sufficiently adequately by means of various constraints, namely, by the conjugation conditions [4, 8, 10, 15, 17-20, 22-26, 38, 44, 47, 52, 53, 68, 76, 77, 81, 83, 84, 90, 95, 96-100, 112-114, 117, 123].
Author : K.A. Lurie
Publisher : Springer Science & Business Media
ISBN 13 : 147579262X
Total Pages : 503 pages
Book Rating : 4.4/5 (757 download)
Download or read book Applied Optimal Control Theory of Distributed Systems written by K.A. Lurie and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Ivan V. Sergienko
Publisher : Springer Science & Business Media
ISBN 13 : 0387242562
Total Pages : 399 pages
Book Rating : 4.3/5 (872 download)
Download or read book Optimal Control of Distributed Systems with Conjugation Conditions written by Ivan V. Sergienko and published by Springer Science & Business Media. This book was released on 2005-09-19 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: At present, in order to resolve problems of ecology and to save mineral resources for future population generations, it is quite necessary to know how to maintain nature arrangement in an efficient way. It is possible to achieve a rational nature arrangement when analyzing solutions to problems concerned with optimal control of distributed systems and with optimization of modes in which main ground medium processes are functioning (motion of liquids, generation of temperature fields, mechanical deformation of multicomponent media). Such analysis becomes even more difficult because of heterogeneity of the region that is closest to the Earth surface, and thin inclusions/cracks in it exert their essential influence onto a state and development of the mentioned processes, especially in the cases of mining. Many researchers, for instance, A.N. Tikhonov - A.A. Samarsky [121], L. Luckner - W.M. Shestakow [65], Tien-Mo Shih, K.L. Johnson [47], E. Sanchez-Palencia [94] and others stress that it is necessary to consider how thin inclusions/cracks exert their influences onto development of these processes, while such inclusions differ in characteristics from main media to a considerable extent (moisture permeability, permeability to heat, bulk density or shear strength may be mentioned). Xll An influence exerted from thin interlayers onto examined processes is taken into account sufficiently adequately by means of various constraints, namely, by the conjugation conditions [4, 8, 10, 15, 17-20, 22-26, 38, 44, 47, 52, 53, 68, 76, 77, 81, 83, 84, 90, 95, 96-100, 112-114, 117, 123].
Author : A. V. Fursikov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821813829
Total Pages : 305 pages
Book Rating : 4.8/5 (138 download)
Download or read book Optimal Control of Distributed Systems written by A. V. Fursikov and published by American Mathematical Soc.. This book was released on 2000 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the analysis of optimal control problems for systems described by partial differential equations. The book offers simple and clear exposition of main results in this area. The methods proposed by the author cover cases where the controlled system corresponds to well-posed or ill-posed boundary value problems, which can be linear or nonlinear. The uniqueness problem for the solution of nonlinear optimal control problems is analysed in various settings. Solutions of several previously unsolved problems are given. In addition, general methods are applied to the study of two problems connected with optimal control of fluid flows described by the Navier-Stokes equations.
Author : Charles Teo
Publisher : Academic Press
ISBN 13 : 0080956785
Total Pages : 331 pages
Book Rating : 4.0/5 (89 download)
Download or read book Computational Methods for Optimizing Distributed Systems written by Charles Teo and published by Academic Press. This book was released on 1984-08-21 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : J. L. Lions
Publisher : SIAM
ISBN 13 : 9781611970616
Total Pages : 98 pages
Book Rating : 4.9/5 (76 download)
Download or read book Some Aspects of the Optimal Control of Distributed Parameter Systems written by J. L. Lions and published by SIAM. This book was released on 1972-01-01 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Alfred C. Robinson
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Survey of Optimal Control of Distributed-parameter Systems written by Alfred C. Robinson and published by . This book was released on 1969 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Dan Tiba
Publisher : Springer
ISBN 13 : 3540467556
Total Pages : 166 pages
Book Rating : 4.5/5 (44 download)
Download or read book Optimal Control of Nonsmooth Distributed Parameter Systems written by Dan Tiba and published by Springer. This book was released on 2006-11-14 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Jean-Pierre Babary
Publisher : Elsevier
ISBN 13 : 1483153231
Total Pages : 661 pages
Book Rating : 4.4/5 (831 download)
Download or read book Control of Distributed Parameter Systems 1982 written by Jean-Pierre Babary and published by Elsevier. This book was released on 2014-05-16 with total page 661 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Felix E. Browder
Publisher : American Mathematical Soc.
ISBN 13 : 0821814729
Total Pages : 591 pages
Book Rating : 4.8/5 (218 download)
Download or read book Nonlinear Functional Analysis and Its Applications, Part 2 written by Felix E. Browder and published by American Mathematical Soc.. This book was released on 1986 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mikhail Z. Zgurovsky
Publisher : Springer Science & Business Media
ISBN 13 : 3642187706
Total Pages : 512 pages
Book Rating : 4.6/5 (421 download)
Download or read book Nonlinear Analysis and Control of Physical Processes and Fields written by Mikhail Z. Zgurovsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern achievements in the intensively developing field of applied mathematics are presented in this monograph. In particular, it proposes a new approach to extremal problem theory for nonlinear operators, differential-operator equations and inclusions, and for variational inequalities in Banach spaces. An axiomatic study of nonlinear maps (including multi-valued ones) is given, and the properties of resolving operators for systems, consisting of operator and differential-operator equations, are stated in nonlinear-map terms. The solvability conditions and the properties of extremal problem solutions are obtained, while their weak expansions and necessary conditions of optimality in variational inequality form are formulated. In addition. the monograph proposes regularization methods and approximation schemes. This book is adressed to scientists, graduates and undergraduates who are interested in nonlinear analysis, control theory, system analysis and differential equations.
Author : Boris Ginsburg
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (87 download)
Download or read book Optimal Control of Distributed Systems written by Boris Ginsburg and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. V. Fursikov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821897904
Total Pages : 324 pages
Book Rating : 4.8/5 (979 download)
Download or read book Optimal Control of Distributed Systems. Theory and Applications written by A. V. Fursikov and published by American Mathematical Soc.. This book was released on 1999-11-16 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the analysis of optimal control problems for systems described by partial differential equations. The book offers simple and clear exposition of main results in this area. The methods proposed by the author cover cases where the controlled system corresponds to well-posed or ill-posed boundary value problems, which can be linear or nonlinear. The uniqueness problem for the solution of nonlinear optimal control problems is analyzed in various settings. Solutions of several previously unsolved problems are given. In addition, general methods are applied to the study of two problems connected with optimal control of fluid flows described by the Navier-Stokes equations.
Author : H. T. Banks
Publisher : SIAM
ISBN 13 : 9781611970982
Total Pages : 239 pages
Book Rating : 4.9/5 (79 download)
Download or read book Control and Estimation in Distributed Parameter Systems written by H. T. Banks and published by SIAM. This book was released on 1992-01-01 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Jan H. van Schuppen
Publisher : Springer
ISBN 13 : 3319104071
Total Pages : 393 pages
Book Rating : 4.3/5 (191 download)
Download or read book Coordination Control of Distributed Systems written by Jan H. van Schuppen and published by Springer. This book was released on 2014-09-25 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes how control of distributed systems can be advanced by an integration of control, communication, and computation. The global control objectives are met by judicious combinations of local and nonlocal observations taking advantage of various forms of communication exchanges between distributed controllers. Control architectures are considered according to increasing degrees of cooperation of local controllers: fully distributed or decentralized control, control with communication between controllers, coordination control, and multilevel control. The book covers also topics bridging computer science, communication, and control, like communication for control of networks, average consensus for distributed systems, and modeling and verification of discrete and of hybrid systems. Examples and case studies are introduced in the first part of the text and developed throughout the book. They include: control of underwater vehicles, automated-guided vehicles on a container terminal, control of a printer as a complex machine, and control of an electric power system. The book is composed of short essays each within eight pages, including suggestions and references for further research and reading. By reading the essays collected in the book Coordination Control of Distributed Systems, graduate students and post-docs will be introduced to the research frontiers in control of decentralized and of distributed systems. Control theorists and practitioners with backgrounds in electrical, mechanical, civil and aerospace engineering will find in the book information and inspiration to transfer to their fields of interest the state-of-art in coordination control.
Author : S.I. Lyashko
Publisher : Springer Science & Business Media
ISBN 13 : 0306475715
Total Pages : 467 pages
Book Rating : 4.3/5 (64 download)
Download or read book Generalized Optimal Control of Linear Systems with Distributed Parameters written by S.I. Lyashko and published by Springer Science & Business Media. This book was released on 2005-12-27 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author of this book made an attempt to create the general theory of optimization of linear systems (both distributed and lumped) with a singular control. The book touches upon a wide range of issues such as solvability of boundary values problems for partial differential equations with generalized right-hand sides, the existence of optimal controls, the necessary conditions of optimality, the controllability of systems, numerical methods of approximation of generalized solutions of initial boundary value problems with generalized data, and numerical methods for approximation of optimal controls. In particular, the problems of optimization of linear systems with lumped controls (pulse, point, pointwise, mobile and so on) are investigated in detail.
