Download or read book Some Problems of Optimal and Pareto Optimal Control for Distributed Parameter Systems written by Wiesław Kotarski and published by Wydawnictwo Uniwersytetu Slaskiego. This book was released on 1997-01-01 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

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.

Download or read book Some Optimal control Problems in Distributed parameter Systems written by Manthri S. Narasimba and published by . This book was released on 1968 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dissertation concerns itself with the extension of some of the results known for the optimal control of lumped-parameter systems to distributed systems. The analytical design of the optimal regulator is worked out in detail for linear time-invariant distributed systems. The necessary conditions of optimality are derived using calculus of variations, and the boundary effects are studied in some generality. Two methods are suggested to solve the boundary value problems arising from the regulator problem for linear time-invariant systems. As a further application of the principles involved in the analytical design, the optimal control of a fluid interface is discussed. Next, optimal control of distributed systems with constraints on the control functions is studied. Functions analogous to the Hamiltonian of lumped-parameter systems are defined on the distributed field and on its boundary. Their relations on the boundary are also obtained. A necessary condition for optimality is enunciated as a maximum principle. A non-rigorous proof of this principle is presented. The situations when the maximum principle gives both necessary and sufficient conditions for optimality, are indicated. (Author).

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.

Download or read book Control of Distributed Parameter Systems written by S. P. Banks and published by Elsevier. This book was released on 2014-05-18 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Optimal Control of Distributed Parameter Systems written by Nasir Uddin Ahmed and published by New York : North Holland. This book was released on 1981 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Control Problems for Systems Described by Partial Differential Equations and Applications written by Irena Lasiecka and published by Springer. This book was released on 2014-03-12 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the Proceedings of the IFIP 7/2 Conference on Control Problems for Systems Described by Partial Differential Equations and Applications held at the University of Florida, Gainesville, Florida in February 1987. The papers presented in this volume encompass several main directions of current research in the area including optimal control for variational inequalities, free boundary value problems, shape optimization, pareto-control, stabilization and controllability of hyperbolic equations, control problems for large space flexible structures, identification and estimation of distributed parameter systems, and numerical methods for control problems.

Download or read book Generalized Optimal Control of Linear Systems with Distributed Parameters written by S.I. Lyashko and published by Springer. This book was released on 2013-03-17 with total page 456 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.

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.

Download or read book Optimal Control of a Class of Distributed parameter Systems written by Philip Kunlun Chiu and published by . This book was released on 1972 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Optimal Control of Linear Distributed Parameter Systems Control of Distributed Parameter Systems Vol Ii of Final Report written by E. I. Axelband and published by . This book was released on 1966 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term distributed parameter system as used in the report shall mean a plant, or object whose outputs are to be controlled, which is characterized by a partial differential equation. The consideration of such systems is a relatively recent event, motivated both by practical problems and by a desire to extend and generalize the existing body of optimal control theory. The theory of partial differential equations is considerably more detailed and contains considerably fewer general results than the theory of ordinary differential equations. Because of this the authors introduce specialized notions and symbology, not in common usage in optimal control theory, in order to be able to state their results with some precision and compactness. It was the intent in writing the report to present results to a wide control engineering readership. In keeping with this, a section of the report is devoted to an explanation of the requisit mathematical operations, and, where expedient, detailed mathematical proofs are deferred to the references. Hueristic arguments are used as a vehicle to transmit concepts, but not as a substitute for required rigor. Several optimal control problems for linear distributed parameter systems are stated. Theoretical and algorithmic solutions are presented along with examples to illustrate these results.

Download or read book Distributed Parameter Systems written by S. Ōmatu and published by Oxford University Press, USA. This book was released on 1989 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this unified account of the mathematical theory of distributed parameter systems (DPS), the authors cover all major aspects of the control, estimation, and identification of such systems, and their application in engineering problems. The first part of the book is devoted to the basic results in deterministic and stochastic partial differential equations, which are applied to the optimal control and estimation theories for DPS. Part two then applies this knowledge in an engineering setting, discussing optimal estimators, optimal sensor and actuator locations, and computational techniques.

Download or read book H Control for Distributed Parameter Systems A State Space Approach written by Bert van Keulen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: VI 5.3 Proof of the measurement-feedback result. 144 5.4 Relaxation of the a priori assumptions .. 165 5.4.1 Including the feedthroughs . . . . . 165 5.4.2 How to 'remove' the regularity assumptions 174 6 Examples and conclusions 177 6.1 Delay systems in state-space . . . . . . . . . . 177 6.1.1 Dynamic controllers for delay systems. 180 184 6.1.2 A linear quadratic control problem . . 6.1.3 Duality ............... . . 189 6.2 The mixed-sensitivity problem for delay systems 192 6.2.1 Introduction and statement of the problem. 192 6.2.2 Main result .............. . 194 6.3 Conclusions and directions for future research. 200 A Stability theory 205 A.1 205 A.2 206 B Differentiability and some convergence results 207 B.l 207 208 B.2 B.3 209 209 B.4 B.5 209 B.6 211 B.7 213 214 C The invariant zeros condition C.1 214 221 D The relation between P, Q and P 221 D.1 ............ .... . Bibliography 230 239 Index Preface Control of distributed parameter systems is a fascinating and challenging top ic, from both a mathematical and an applications point of view. The same can be said about Hoc-control theory, which has become very popular lately. I am therefore pleased to present in this book a complete treatment of the state-space solution to the Hoo-control problem for a large class of distributed parameter systems.

Download or read book Control and Estimation of Distributed Parameter Systems written by Wolfgang Desch and published by Birkhäuser. This book was released on 2012-12-06 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Control of Distributed Parameter Systems 1989 written by M. Amouroux and published by Elsevier. This book was released on 2014-06-28 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents state-of-the-art reports on the theory, and current and future applications of control of distributed parameter systems. The papers cover the progress not only in traditional methodology and pure research in control theory, but also the rapid growth of its importance for different applications. This title will be of interest to researchers working in the areas of mathematics, automatic control, computer science and engineering.

Download or read book Optimal Control of Differential Equations written by Nicolae H. Pavel and published by CRC Press. This book was released on 2020-08-18 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on the International Conference on Optimal Control of Differential Equations held recently at Ohio University, Athens, this Festschrift to honor the sixty-fifth birthday of Constantin Corduneanu an outstanding researcher in differential and integral equations provides in-depth coverage of recent advances, applications, and open problems relevant to mathematics and physics. Introduces new results as well as novel methods and techniques!"