Generalized Optimal Control Of Linear Systems With Distributed Parameters

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Generalized Optimal Control of Linear Systems with Distributed Parameters

Author : S.I. Lyashko
Publisher : Springer Science & Business Media
ISBN 13 : 0306475715
Total Pages : 467 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Generalized Optimal Control of Linear Systems with Distributed Parameters by : S.I. Lyashko

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.

A Survey of Optimal Control of Distributed-parameter Systems

Author : Alfred C. Robinson
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Survey of Optimal Control of Distributed-parameter Systems by : Alfred C. Robinson

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.

Optimal Control of Nonsmooth Distributed Parameter Systems

Author : Dan Tiba
Publisher : Springer
ISBN 13 : 3540467556
Total Pages : 166 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Optimal Control of Nonsmooth Distributed Parameter Systems by : Dan Tiba

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.

Applied Optimal Control Theory of Distributed Systems

Author : K.A. Lurie
Publisher : Springer Science & Business Media
ISBN 13 : 147579262X
Total Pages : 503 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Applied Optimal Control Theory of Distributed Systems by : K.A. Lurie

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.

Some Aspects of the Optimal Control of Distributed Parameter Systems

Author : J. L. Lions
Publisher : SIAM
ISBN 13 : 0898710049
Total Pages : 98 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Some Aspects of the Optimal Control of Distributed Parameter Systems by : J. L. Lions

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

Generalized Solutions of Operator Equations and Extreme Elements

Author : D.A. Klyushin
Publisher : Springer Science & Business Media
ISBN 13 : 1461406196
Total Pages : 219 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Generalized Solutions of Operator Equations and Extreme Elements by : D.A. Klyushin

Download or read book Generalized Solutions of Operator Equations and Extreme Elements written by D.A. Klyushin and published by Springer Science & Business Media. This book was released on 2011-10-05 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract models for many problems in science and engineering take the form of an operator equation. The resolution of these problems often requires determining the existence and uniqueness of solutions to these equations. "Generalized Solutions of Operator Equations and Extreme Elements" presents recently obtained results in the study of the generalized solutions of operator equations and extreme elements in linear topological spaces. The presented results offer new methods of identifying these solutions and studying their properties. These new methods involve the application of a priori estimations and a general topological approach to construct generalized solutions of linear and nonlinear operator equations. The monograph is intended for mathematicians, graduate students and researchers studying functional analysis, operator theory, and the theory of optimal control.

Optimal Control of Distributed Systems with Conjugation Conditions

Author : Ivan V. Sergienko
Publisher : Springer Science & Business Media
ISBN 13 : 0387242562
Total Pages : 399 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Optimal Control of Distributed Systems with Conjugation Conditions by : Ivan V. Sergienko

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].

Optimal Control of Age-structured Populations in Economy, Demography, and the Environment

Author : Raouf Boucekkine
Publisher : Routledge
ISBN 13 : 1136920935
Total Pages : 321 pages
Book Rating : 4.1/5 (369 download)

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Book Synopsis Optimal Control of Age-structured Populations in Economy, Demography, and the Environment by : Raouf Boucekkine

Download or read book Optimal Control of Age-structured Populations in Economy, Demography, and the Environment written by Raouf Boucekkine and published by Routledge. This book was released on 2013-05-13 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers a wide range of topics within mathematical modelling and the optimization of economic, demographic, technological and environmental phenomena. Each chapter is written by experts in their field and represents new advances in modelling theory and practice. These essays are exemplary of the fruitful interaction between theory and practice when exploring global and local changes. The unifying theme of the book is the use of mathematical models and optimization methods to describe age-structured populations in economy, demography, technological change, and the environment. Emphasis is placed on deterministic dynamic models that take age or size structures, delay effects, and non-standard decision variables into account. In addition, the contributions deal with the age structure of assets, resources, and populations under study. Interdisciplinary modelling has enormous potential for discovering new insights in global and regional development. Optimal Control of Age-structured Populations in Economy, Demography, and the Environment is a rich and excellent source of information on state-of-the-art modelling expertise and references. The book provides the necessary mathematical background for readers from different areas, such as applied sciences, management sciences and operations research, which helps guide the development of practical models. As well as this the book also surveys the current practice in applied modelling and looks at new research areas for a general mathematical audience. This book will be of interest primarily to researchers, postgraduate students, as well as a wider scientific community, including those focussing on the subjects of applied mathematics, environmental sciences, economics, demography, management, and operations research.

Control Theory of Systems Governed by Partial Differential Equations

Author : A.K. Aziz
Publisher : Academic Press
ISBN 13 : 1483216306
Total Pages : 289 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Control Theory of Systems Governed by Partial Differential Equations by : A.K. Aziz

Download or read book Control Theory of Systems Governed by Partial Differential Equations written by A.K. Aziz and published by Academic Press. This book was released on 2014-05-10 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Optimal Control of Distributed Systems. Theory and Applications

Author : A. V. Fursikov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821897904
Total Pages : 324 pages
Book Rating : 4.8/5 (979 download)

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Book Synopsis Optimal Control of Distributed Systems. Theory and Applications by : A. V. Fursikov

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.

Instrument Engineers' Handbook, Volume Two

Author : Bela G. Liptak
Publisher : CRC Press
ISBN 13 : 1420064002
Total Pages : 2464 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Instrument Engineers' Handbook, Volume Two by : Bela G. Liptak

Download or read book Instrument Engineers' Handbook, Volume Two written by Bela G. Liptak and published by CRC Press. This book was released on 2018-10-08 with total page 2464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest update to Bela Liptak's acclaimed "bible" of instrument engineering is now available. Retaining the format that made the previous editions bestsellers in their own right, the fourth edition of Process Control and Optimization continues the tradition of providing quick and easy access to highly practical information. The authors are practicing engineers, not theoretical people from academia, and their from-the-trenches advice has been repeatedly tested in real-life applications. Expanded coverage includes descriptions of overseas manufacturer's products and concepts, model-based optimization in control theory, new major inventions and innovations in control valves, and a full chapter devoted to safety. With more than 2000 graphs, figures, and tables, this all-inclusive encyclopedic volume replaces an entire library with one authoritative reference. The fourth edition brings the content of the previous editions completely up to date, incorporates the developments of the last decade, and broadens the horizons of the work from an American to a global perspective. Béla G. Lipták speaks on Post-Oil Energy Technology on the AT&T Tech Channel.

Control and Estimation of Distributed Parameter Systems

Author : W. Desch
Publisher : Birkhäuser
ISBN 13 : 303488849X
Total Pages : 308 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Control and Estimation of Distributed Parameter Systems by : W. Desch

Download or read book Control and Estimation of Distributed Parameter Systems written by W. Desch and published by Birkhäuser. This book was released on 2012-12-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consisting of 23 refereed contributions, this volume offers a broad and diverse view of current research in control and estimation of partial differential equations. Topics addressed include, but are not limited to - control and stability of hyperbolic systems related to elasticity, linear and nonlinear; - control and identification of nonlinear parabolic systems; - exact and approximate controllability, and observability; - Pontryagin's maximum principle and dynamic programming in PDE; and - numerics pertinent to optimal and suboptimal control problems. This volume is primarily geared toward control theorists seeking information on the latest developments in their area of expertise. It may also serve as a stimulating reader to any researcher who wants to gain an impression of activities at the forefront of a vigorously expanding area in applied mathematics.

Control Of Nonlinear Distributed Parameter Systems

Author : Goong Chen
Publisher : CRC Press
ISBN 13 : 9780203904190
Total Pages : 382 pages
Book Rating : 4.9/5 (41 download)

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Book Synopsis Control Of Nonlinear Distributed Parameter Systems by : Goong Chen

Download or read book Control Of Nonlinear Distributed Parameter Systems written by Goong Chen and published by CRC Press. This book was released on 2001-03-14 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Optimal Control by Mathematical Programming

Author : Daniel Tabak
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.:/5 (33 download)

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Book Synopsis Optimal Control by Mathematical Programming by : Daniel Tabak

Download or read book Optimal Control by Mathematical Programming written by Daniel Tabak and published by Prentice Hall. This book was released on 1971 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Orthogonal Functions in Systems and Control

Author : K B Datta
Publisher : World Scientific
ISBN 13 : 9814501581
Total Pages : 288 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Orthogonal Functions in Systems and Control by : K B Datta

Download or read book Orthogonal Functions in Systems and Control written by K B Datta and published by World Scientific. This book was released on 1995-05-31 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic and unified approach to the analysis, identification and optimal control of continuous-time dynamical systems via orthogonal polynomials such as Legendre, Laguerre, Hermite, Tchebycheff, Jacobi, Gegenbauer, and via orthogonal functions such as sine–cosine, block–pulse, and Walsh. This is the first book devoted to the application of orthogonal polynomials in systems and control, establishing the superiority of orthogonal polynomials to other orthogonal functions. Contents:Orthogonal Functions in Systems and Control: A Historical PerspectiveLeast Squares Approximation of SignalsSignal Processing in Continuous Time DomainAnalysis of Time-Delay SystemsIdentification of Lumped Parameter SystemsIdentification of Distributed Parameter SystemsIdentification of Linear Time-Varying and Nonlinear Distributed Parameter SystemsOptimal Control of Linear Systems Readership: Applied mathematicians and control systems engineers. keywords:Analysis;System Identification;Optimal Control;Time-Delay Systems;Lumped Parameter Systems;Distributed Parameter Systems;Block-Pulse Functions;Fourier Series;Orthogonal Polynomials

Control of Distributed Parameter Systems 1982

Author : Jean-Pierre Babary
Publisher : Elsevier
ISBN 13 : 1483153231
Total Pages : 661 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Control of Distributed Parameter Systems 1982 by : Jean-Pierre Babary

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.

30 Years' Review of China's Science and Technology (1949 – 1979)

Author :
Publisher :
ISBN 13 : 9814518875
Total Pages : 322 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis 30 Years' Review of China's Science and Technology (1949 – 1979) by :

Download or read book 30 Years' Review of China's Science and Technology (1949 – 1979) written by and published by . This book was released on 1981-12-31 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the 1st China's Science Yearbook published since 1949. It covers events, activities and progresses in various fields of science and technology from 1949 to 1979. Published in conjunction with Shanghai Scientific Publishing Co., it was compiled and Editor a research team from 'Nature Magazine', Shanghai, People's Republic of China. Contents:Feature Articles:Development of the Natural Sciences in China over the Past 30 YearsScaling the New Heights of Nuclear Science and TechnologyReview of Acoustics Research in ChinaTwenty Years of the Institute of Semiconductors — A SurveyChina's First LaserAdvances in Biochemistry and Molecular Biology in ChinaRecent Advances of Chinese PalaeoanthropologyBrilliant Achievements of Palaeontological Research in ChinaNew Features of the Earthquake Science in ChinaA Survey on the Developments of Mathematics in New ChinaA Theory of Polymerization of Silicic Acid in Aqueous SolutionRecent Development in the Study of Theoretical Organic Chemistry in ChinaA Survey on Astronomy Research in New ChinaOn the Advances and Developments of Weather Prediction in ChinaNew Features of the Earthquake Science in ChinaA Summary of Marine Research in ChinaWinding Roads and a Quake Science in ChinaA Summary of Marine Research in ChinaWinding Roads and a Bright Future — 30 Years of Chinese PsychologyA Brief Introduction to Traditional Chinese MedicineCommemorating the Centenary of the Birth of the Great Scientist, Albert EinsteinReference Section:A Chronicle of Events in Science and TechnologyBrief Introduction to Periodicals and Newspapers of the Natural SciencesName List of Members of Academia Scinica DepartmentsList of Past ScientistsPrizes and Certificates of Merit in Science Readership: General readers interested in history of science. Review: “This is a useful book … it is a review of China's Science and technology by some of China's most prestigious scientists. The second half consists of a variety of useful reference materials.” Science