Optimal Control Of Distributed Systems Theory And Applications

Author : A. V. Fursikov
Publisher : American Mathematical Soc.
Page : 305 pages
File Size : 45,8 Mb
Release : 2000
Category : Mathematics
ISBN : 082181382X

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Optimal Control of Distributed Systems by A. V. Fursikov Pdf

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 : A. V. Fursikov
Publisher : American Mathematical Soc.
Page : 324 pages
File Size : 42,7 Mb
Release : 1999-11-16
Category : Mathematics
ISBN : 082189790X

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Optimal Control of Distributed Systems. Theory and Applications by A. V. Fursikov Pdf

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 : K. A. Lurie
Publisher : Unknown
Page : 512 pages
File Size : 55,7 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 1475792638

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

Author : K.A. Lurie
Publisher : Springer Science & Business Media
Page : 503 pages
File Size : 47,7 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 : Spyros G. Tzafestas
Publisher : Elsevier
Page : 526 pages
File Size : 48,9 Mb
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 9781483147383

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Distributed Parameter Control Systems by Spyros G. Tzafestas Pdf

Distributed Parameter Control Systems: Theory and Application is a two-part book consisting of 10 theoretical and five application-oriented chapters contributed by well-known workers in the distributed-parameter systems. The book covers topics of distributed parameter control systems in the areas of simulation, identification, state estimation, stability, control (optimal, stochastic, and coordinated), numerical approximation methods, optimal sensor, and actuator positioning. Five applications works include chemical reactors, heat exchangers, petroleum reservoirs/aquifers, and nuclear reactors. The text will be a useful reference for both graduate students and professional researchers working in the field.

Author : QUAN-FANG WANG
Publisher : Lambert Academic Publishing
Page : 216 pages
File Size : 45,8 Mb
Release : 2011-11-11
Category : Mathematics
ISBN : 9783846554647

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PRACTICAL APPLICATION O OPTIMAL CONTROL THEORY by QUAN-FANG WANG Pdf

Author : A.K. Aziz,J.W. Wingate,M.J. Balas
Publisher : Academic Press
Page : 289 pages
File Size : 45,6 Mb
Release : 2014-05-10
Category : Technology & Engineering
ISBN : 9781483216300

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Control Theory of Systems Governed by Partial Differential Equations by A.K. Aziz,J.W. Wingate,M.J. Balas Pdf

Control Theory of Systems Governed by Partial Differential Equations covers the proceedings of the 1976 Conference by the same title, held at the Naval Surface Weapons Center, Silver Spring, Maryland. The purpose of this conference is to examine the control theory of partial differential equations and its application. This text is divided into five chapters that primarily focus on tutorial lecture series on the theory of optimal control of distributed systems. It describes the many manifestations of the theory and its applications appearing in the other chapters. This work also presents the principles of the duality and asymptotic methods in control theory, including the variational principle for the heat equation. A chapter highlights systems that are not of the linear quadratic type. This chapter also explores the control of free surfaces and the geometrical control variables. The last chapter provides a summary of the features and applications of the numerical approximation of problems of optimal control. This book will prove useful to mathematicians, engineers, and researchers.

Author : Alfred C. Robinson
Publisher : Unknown
Page : 54 pages
File Size : 47,5 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 : Ivan V. Sergienko,Vasyl S. Deineka
Publisher : Springer Science & Business Media
Page : 399 pages
File Size : 52,9 Mb
Release : 2005-09-19
Category : Mathematics
ISBN : 9780387242569

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Optimal Control of Distributed Systems with Conjugation Conditions by Ivan V. Sergienko,Vasyl S. Deineka Pdf

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 : Larry W. Mays
Publisher : CRC Press
Page : 385 pages
File Size : 46,5 Mb
Release : 2018-02-06
Category : Science
ISBN : 9781351083652

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Optimal Control of Hydrosystems by Larry W. Mays Pdf

"Combines the hydraulic simulation of physical processes with mathematical programming and differential dynamic programming techniques to ensure the optimization of hydrosystems. Presents the principles and methodologies for systems and optimal control concepts; features differential dynamic programming in developing models and solution algorithms for groundwater, real-time flood and sediment control of river-reservoir systems, and water distribution systems operations, as well as bay and estuary freshwater inflow reservoir oprations; and more."

Author : Giorgio Fabbri,Fausto Gozzi,Andrzej Święch
Publisher : Springer
Page : 916 pages
File Size : 44,7 Mb
Release : 2017-06-22
Category : Mathematics
ISBN : 9783319530673

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Stochastic Optimal Control in Infinite Dimension by Giorgio Fabbri,Fausto Gozzi,Andrzej Święch Pdf

Providing an introduction to stochastic optimal control in infinite dimension, this book gives a complete account of the theory of second-order HJB equations in infinite-dimensional Hilbert spaces, focusing on its applicability to associated stochastic optimal control problems. It features a general introduction to optimal stochastic control, including basic results (e.g. the dynamic programming principle) with proofs, and provides examples of applications. A complete and up-to-date exposition of the existing theory of viscosity solutions and regular solutions of second-order HJB equations in Hilbert spaces is given, together with an extensive survey of other methods, with a full bibliography. In particular, Chapter 6, written by M. Fuhrman and G. Tessitore, surveys the theory of regular solutions of HJB equations arising in infinite-dimensional stochastic control, via BSDEs. The book is of interest to both pure and applied researchers working in the control theory of stochastic PDEs, and in PDEs in infinite dimension. Readers from other fields who want to learn the basic theory will also find it useful. The prerequisites are: standard functional analysis, the theory of semigroups of operators and its use in the study of PDEs, some knowledge of the dynamic programming approach to stochastic optimal control problems in finite dimension, and the basics of stochastic analysis and stochastic equations in infinite-dimensional spaces.

Author : Viorel Barbu,Irena Lasiecka,Dan Tiba,Constantin Varsan
Publisher : Springer
Page : 445 pages
File Size : 51,9 Mb
Release : 2013-06-05
Category : Mathematics
ISBN : 9780387356907

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Analysis and Optimization of Differential Systems by Viorel Barbu,Irena Lasiecka,Dan Tiba,Constantin Varsan Pdf

Analysis and Optimization of Differential Systems focuses on the qualitative aspects of deterministic and stochastic differential equations. Areas covered include: Ordinary and partial differential systems; Optimal control of deterministic and stochastic evolution equations; Control theory of Partial Differential Equations (PDE's); Optimization methods in PDE's with numerous applications to mechanics and physics; Inverse problems; Stability theory; Abstract optimization problems; Calculus of variations; Numerical treatment of solutions to differential equations and related optimization problems. These research fields are under very active development and the present volume should be of interest to students and researchers working in applied mathematics or in system engineering. This volume contains selected contributions presented during the International Working Conference on Analysis and Optimization of Differential Systems, which was sponsored by the International Federation for Information Processing (IFIP) and held in Constanta, Romania in September 2002. Among the aims of this conference was the creation of new international contacts and collaborations, taking advantage of the new developments in Eastern Europe, particularly in Romania. The conference benefited from the support of the European Union via the EURROMMAT program.

Author : C. T. Leondes
Publisher : Elsevier
Page : 376 pages
File Size : 47,9 Mb
Release : 2014-12-01
Category : Technology & Engineering
ISBN : 9781483194653

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Advances in Control Systems by C. T. Leondes Pdf

Advances in Control Systems: Theory and Applications, Volume 1 provides information pertinent to the significant progress in the field of automatic control. This book presents several fundamental approaches to algorithms for the determination of optimum control inputs to a system. Organized into six chapters, this volume begins with an overview of the optimal method of controlling a given system with respect to the given criterion of performance. This text then summarizes some of the basic results of the maximum principle and illustrates how they may be exploited in control system studies. Other chapters consider the fundamental approach underlying almost all the existing works on the control of distributed parameter systems. This book discusses as well some important concepts in the theory of optimal control. The final chapter deals with the problem of controlling processes under the condition of uncertain changes in the process to be controlled. This book is a valuable resource for practicing engineers, applied mathematicians, and scientists.

Author : Simon Serovajsky
Publisher : CRC Press
Page : 657 pages
File Size : 45,9 Mb
Release : 2024-07-30
Category : Mathematics
ISBN : 9781040089217

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Optimization by Simon Serovajsky Pdf

Optimization: 100 Examples is a book devoted to the analysis of scenarios for which the use of well-known optimization methods encounter certain difficulties. Analysing such examples allows a deeper understanding of the features of these optimization methods, including the limits of their applicability. In this way, the book seeks to stimulate further development and understanding of the theory of optimal control. The study of the presented examples makes it possible to more effectively diagnose problems that arise in the practical solution of optimal control problems, and to find ways to overcome the difficulties that have arisen. Features Vast collection of examples Simple. accessible presentation Suitable as a research reference for anyone with an interest in optimization and optimal control theory, including mathematicians and engineers Examples differ in properties, i.e. each effect for each class of problems is illustrated by a unique example. Simon Serovajsky is a professor of mathematics at Al-Farabi Kazakh National University in Kazakhstan. He is the author of many books published in the area of optimization and optimal control theory, mathematical physics, mathematical modelling, philosophy and history of mathematics as well as a long list of high-quality publications in learned journals.

Author : Ulrich Derigs
Publisher : EOLSS Publications
Page : 438 pages
File Size : 53,7 Mb
Release : 2009-02-09
Category : Electronic
ISBN : 9781905839506

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OPTIMIZATION AND OPERATIONS RESEARCH – Volume III by Ulrich Derigs Pdf

Optimization and Operations Research is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Optimization and Operations Research is organized into six different topics which represent the main scientific areas of the theme: 1. Fundamentals of Operations Research; 2. Advanced Deterministic Operations Research; 3. Optimization in Infinite Dimensions; 4. Game Theory; 5. Stochastic Operations Research; 6. Decision Analysis, which are then expanded into multiple subtopics, each as a chapter. These four volumes are aimed at the following five major target audiences: University and College students Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers and NGOs.