Optimal Control Of Nonsmooth Distributed Parameter Systems

Author : Dan Tiba
Publisher : Springer
Page : 166 pages
File Size : 54,8 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 : Alfred C. Robinson
Publisher : Unknown
Page : 54 pages
File Size : 41,8 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 : Goong Chen,Irena Lasiecka,Jianxin Zhou
Publisher : CRC Press
Page : 382 pages
File Size : 43,7 Mb
Release : 2001-03-14
Category : Mathematics
ISBN : 0203904192

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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 : J. L. Lions
Publisher : SIAM
Page : 98 pages
File Size : 41,6 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 : K.A. Lurie
Publisher : Springer Science & Business Media
Page : 503 pages
File Size : 43,9 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 : S. P. Banks,A. J. Pritchard
Publisher : Elsevier
Page : 554 pages
File Size : 47,9 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 : H. T. Banks
Publisher : SIAM
Page : 239 pages
File Size : 55,9 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 : Michael Hintermüller,Roland Herzog,Christian Kanzow,Michael Ulbrich,Stefan Ulbrich
Publisher : Springer Nature
Page : 518 pages
File Size : 46,5 Mb
Release : 2022-02-18
Category : Mathematics
ISBN : 9783030793937

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Non-Smooth and Complementarity-Based Distributed Parameter Systems by Michael Hintermüller,Roland Herzog,Christian Kanzow,Michael Ulbrich,Stefan Ulbrich Pdf

Many of the most challenging problems in the applied sciences involve non-differentiable structures as well as partial differential operators, thus leading to non-smooth distributed parameter systems. This edited volume aims to establish a theoretical and numerical foundation and develop new algorithmic paradigms for the treatment of non-smooth phenomena and associated parameter influences. Other goals include the realization and further advancement of these concepts in the context of robust and hierarchical optimization, partial differential games, and nonlinear partial differential complementarity problems, as well as their validation in the context of complex applications. Areas for which applications are considered include optimal control of multiphase fluids and of superconductors, image processing, thermoforming, and the formation of rivers and networks. Chapters are written by leading researchers and present results obtained in the first funding phase of the DFG Special Priority Program on Nonsmooth and Complementarity Based Distributed Parameter Systems: Simulation and Hierarchical Optimization that ran from 2016 to 2019.

Author : A.K. Aziz,J.W. Wingate,M.J. Balas
Publisher : Academic Press
Page : 288 pages
File Size : 52,5 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 : Charles Teo
Publisher : Academic Press
Page : 316 pages
File Size : 41,8 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 : Ralph C. Smith,Michael A. Demetriou
Publisher : SIAM
Page : 283 pages
File Size : 52,6 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 : S.I. Lyashko
Publisher : Springer Science & Business Media
Page : 467 pages
File Size : 50,5 Mb
Release : 2002-08-31
Category : Computers
ISBN : 9781402006258

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Generalized Optimal Control of Linear Systems with Distributed Parameters by S.I. Lyashko Pdf

"Audience: Scientists and engineers engaged in the theory of optimal control of linear systems and its application in physics, ecology, economy, medicine, and other fields. Also suitable as a textbook for graduate and post-graduate students studying modern methods in optimal control."--BOOK JACKET.

Author : Wolfgang Desch,Franz Kappel,Karl Kunisch
Publisher : Birkhäuser
Page : 270 pages
File Size : 44,8 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 : Grigory Sklyar,Alexander Zuyev
Publisher : Springer Nature
Page : 139 pages
File Size : 51,7 Mb
Release : 2021-03-01
Category : Science
ISBN : 9783030617424

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Stabilization of Distributed Parameter Systems: Design Methods and Applications by Grigory Sklyar,Alexander Zuyev Pdf

This book presents recent results and envisages new solutions of the stabilization problem for infinite-dimensional control systems. Its content is based on the extended versions of presentations at the Thematic Minisymposium “Stabilization of Distributed Parameter Systems: Design Methods and Applications” at ICIAM 2019, held in Valencia from 15 to 19 July 2019. This volume aims at bringing together contributions on stabilizing control design for different classes of dynamical systems described by partial differential equations, functional-differential equations, delay equations, and dynamical systems in abstract spaces. This includes new results in the theory of nonlinear semigroups, port-Hamiltonian systems, turnpike phenomenon, and further developments of Lyapunov's direct method. The scope of the book also covers applications of these methods to mathematical models in continuum mechanics and chemical engineering. It is addressed to readers interested in control theory, differential equations, and dynamical systems.

Author : Nasir Uddin Ahmed,K. L. Teo
Publisher : New York : North Holland
Page : 456 pages
File Size : 43,9 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