Control Theory And Optimization I

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Control Theory and Optimization I

Author : M.I. Zelikin
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 42,6 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662041369

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Control Theory and Optimization I by M.I. Zelikin Pdf

The only monograph on the topic, this book concerns geometric methods in the theory of differential equations with quadratic right-hand sides, closely related to the calculus of variations and optimal control theory. Based on the author’s lectures, the book is addressed to undergraduate and graduate students, and scientific researchers.

Control Theory and Optimization

Author : Michail I. Zelikin
Publisher : Unknown
Page : 128 pages
File Size : 41,7 Mb
Release : 2024-06-26
Category : Electronic
ISBN : OCLC:1069180879

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Control Theory and Optimization by Michail I. Zelikin Pdf

Optimization and Optimal Control

Author : Panos M. Pardalos,Ider Tseveendorj,Rentsen Enkhbat
Publisher : World Scientific
Page : 380 pages
File Size : 41,9 Mb
Release : 2003
Category : Mathematics
ISBN : 9789812385970

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Optimization and Optimal Control by Panos M. Pardalos,Ider Tseveendorj,Rentsen Enkhbat Pdf

This volume gives the latest advances in optimization and optimal control which are the main part of applied mathematics. It covers various topics of optimization, optimal control and operations research.

Optimal Control Theory

Author : Donald E. Kirk
Publisher : Courier Corporation
Page : 466 pages
File Size : 45,5 Mb
Release : 2012-04-26
Category : Technology & Engineering
ISBN : 9780486135076

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Optimal Control Theory by Donald E. Kirk Pdf

Upper-level undergraduate text introduces aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization. Numerous figures, tables. Solution guide available upon request. 1970 edition.

Optimal Control

Author : William W. Hager,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 529 pages
File Size : 47,5 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9781475760958

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Optimal Control by William W. Hager,Panos M. Pardalos Pdf

February 27 - March 1, 1997, the conference Optimal Control: The ory, Algorithms, and Applications took place at the University of Florida, hosted by the Center for Applied Optimization. The conference brought together researchers from universities, industry, and government laborato ries in the United States, Germany, Italy, France, Canada, and Sweden. There were forty-five invited talks, including seven talks by students. The conference was sponsored by the National Science Foundation and endorsed by the SIAM Activity Group on Control and Systems Theory, the Mathe matical Programming Society, the International Federation for Information Processing (IFIP), and the International Association for Mathematics and Computers in Simulation (IMACS). Since its inception in the 1940s and 1950s, Optimal Control has been closely connected to industrial applications, starting with aerospace. The program for the Gainesville conference, which reflected the rich cross-disci plinary flavor of the field, included aerospace applications as well as both novel and emerging applications to superconductors, diffractive optics, non linear optics, structural analysis, bioreactors, corrosion detection, acoustic flow, process design in chemical engineering, hydroelectric power plants, sterilization of canned foods, robotics, and thermoelastic plates and shells. The three days of the conference were organized around the three confer ence themes, theory, algorithms, and applications. This book is a collection of the papers presented at the Gainesville conference. We would like to take this opportunity to thank the sponsors and participants of the conference, the authors, the referees, and the publisher for making this volume possible.

Control Theory and Optimization

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 54,9 Mb
Release : 1998
Category : Control theory
ISBN : OCLC:43416538

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Control Theory and Optimization by Anonim Pdf

Infinite Dimensional Optimization and Control Theory

Author : Hector O. Fattorini
Publisher : Cambridge University Press
Page : 828 pages
File Size : 53,5 Mb
Release : 1999-03-28
Category : Computers
ISBN : 0521451256

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Infinite Dimensional Optimization and Control Theory by Hector O. Fattorini Pdf

Treats optimal problems for systems described by ODEs and PDEs, using an approach that unifies finite and infinite dimensional nonlinear programming.

Optimal Control Theory and Static Optimization in Economics

Author : Daniel Léonard,Ngo van Long
Publisher : Cambridge University Press
Page : 372 pages
File Size : 43,8 Mb
Release : 1992-01-31
Category : Business & Economics
ISBN : 0521337461

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Optimal Control Theory and Static Optimization in Economics by Daniel Léonard,Ngo van Long Pdf

Optimal control theory is a technique being used increasingly by academic economists to study problems involving optimal decisions in a multi-period framework. This textbook is designed to make the difficult subject of optimal control theory easily accessible to economists while at the same time maintaining rigour. Economic intuitions are emphasized, and examples and problem sets covering a wide range of applications in economics are provided to assist in the learning process. Theorems are clearly stated and their proofs are carefully explained. The development of the text is gradual and fully integrated, beginning with simple formulations and progressing to advanced topics such as control parameters, jumps in state variables, and bounded state space. For greater economy and elegance, optimal control theory is introduced directly, without recourse to the calculus of variations. The connection with the latter and with dynamic programming is explained in a separate chapter. A second purpose of the book is to draw the parallel between optimal control theory and static optimization. Chapter 1 provides an extensive treatment of constrained and unconstrained maximization, with emphasis on economic insight and applications. Starting from basic concepts, it derives and explains important results, including the envelope theorem and the method of comparative statics. This chapter may be used for a course in static optimization. The book is largely self-contained. No previous knowledge of differential equations is required.

Control Theory and Optimization I

Author : Anonim
Publisher : Springer Verlag
Page : 284 pages
File Size : 55,6 Mb
Release : 2000
Category : Mathematics
ISBN : 3540667415

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Control Theory and Optimization I by Anonim Pdf

The only monograph on the topic, this book concerns geometric methods in the theory of differential equations with quadratic right-hand sides, closely related to the calculus of variations and optimal control theory. Based on the author’s lectures, the book is addressed to undergraduate and graduate students, and scientific researchers.

Optimal Control Theory for Applications

Author : David G. Hull
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 52,7 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9781475741803

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Optimal Control Theory for Applications by David G. Hull Pdf

The published material represents the outgrowth of teaching analytical optimization to aerospace engineering graduate students. To make the material available to the widest audience, the prerequisites are limited to calculus and differential equations. It is also a book about the mathematical aspects of optimal control theory. It was developed in an engineering environment from material learned by the author while applying it to the solution of engineering problems. One goal of the book is to help engineering graduate students learn the fundamentals which are needed to apply the methods to engineering problems. The examples are from geometry and elementary dynamical systems so that they can be understood by all engineering students. Another goal of this text is to unify optimization by using the differential of calculus to create the Taylor series expansions needed to derive the optimality conditions of optimal control theory.

Primer on Optimal Control Theory

Author : Jason L. Speyer,David H. Jacobson
Publisher : SIAM
Page : 316 pages
File Size : 52,5 Mb
Release : 2010-05-13
Category : Mathematics
ISBN : 9780898716948

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Primer on Optimal Control Theory by Jason L. Speyer,David H. Jacobson Pdf

A rigorous introduction to optimal control theory, which will enable engineers and scientists to put the theory into practice.

Optimization and Optimal Control

Author : Altannar Chinchuluun,Panos M. Pardalos,Rentsen Enkhbat,Ider Tseveendorj
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 49,5 Mb
Release : 2010-07-07
Category : Mathematics
ISBN : 9780387894959

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Optimization and Optimal Control by Altannar Chinchuluun,Panos M. Pardalos,Rentsen Enkhbat,Ider Tseveendorj Pdf

Optimization and optimal control are the main tools in decision making. Because of their numerous applications in various disciplines, research in these areas is accelerating at a rapid pace. “Optimization and Optimal Control: Theory and Applications” brings together the latest developments in these areas of research as well as presents applications of these results to a wide range of real-world problems. This volume can serve as a useful resource for researchers, practitioners, and advanced graduate students of mathematics and engineering working in research areas where results in optimization and optimal control can be applied.

Counterexamples in Optimal Control Theory

Author : S. I︠A︡ Serovaĭskiĭ
Publisher : Walter de Gruyter
Page : 192 pages
File Size : 40,7 Mb
Release : 2004
Category : Mathematics
ISBN : 9067644005

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Counterexamples in Optimal Control Theory by S. I︠A︡ Serovaĭskiĭ Pdf

This monograph deals with cases where optimal control either does not exist or is not unique, cases where optimality conditions are insufficient of degenerate, or where extremum problems in the sense of Tikhonov and Hadamard are ill-posed, and other situations. A formal application of classical optimisation methods in such cases either leads to wrong results or has no effect. The detailed analysis of these examples should provide a better understanding of the modern theory of optimal control and the practical difficulties of solving extremum problems.

Principles of Optimal Control Theory

Author : R. Gamkrelidze
Publisher : Springer Science & Business Media
Page : 180 pages
File Size : 51,6 Mb
Release : 2013-03-09
Category : Science
ISBN : 9781468473988

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Principles of Optimal Control Theory by R. Gamkrelidze Pdf

In the late 1950's, the group of Soviet mathematicians consisting of L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko made fundamental contributions to optimal control theory. Much of their work was collected in their monograph, The Mathematical Theory of Optimal Processes. Subsequently, Professor Gamkrelidze made further important contributions to the theory of necessary conditions for problems of optimal control and general optimization problems. In the present monograph, Professor Gamkrelidze presents his current view of the fundamentals of optimal control theory. It is intended for use in a one-semester graduate course or advanced undergraduate course. We are now making these ideas available in English to all those interested in optimal control theory. West Lafayette, Indiana, USA Leonard D. Berkovitz Translation Editor Vll Preface This book is based on lectures I gave at the Tbilisi State University during the fall of 1974. It contains, in essence, the principles of general control theory and proofs of the maximum principle and basic existence theorems of optimal control theory. Although the proofs of the basic theorems presented here are far from being the shortest, I think they are fully justified from the conceptual view point. In any case, the notions we introduce and the methods developed have one unquestionable advantage -they are constantly used throughout control theory, and not only for the proofs of the theorems presented in this book.

Optimal Control Theory

Author : Suresh P. Sethi
Publisher : Springer Nature
Page : 520 pages
File Size : 50,8 Mb
Release : 2022-01-03
Category : Business & Economics
ISBN : 9783030917456

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Optimal Control Theory by Suresh P. Sethi Pdf

This new 4th edition offers an introduction to optimal control theory and its diverse applications in management science and economics. It introduces students to the concept of the maximum principle in continuous (as well as discrete) time by combining dynamic programming and Kuhn-Tucker theory. While some mathematical background is needed, the emphasis of the book is not on mathematical rigor, but on modeling realistic situations encountered in business and economics. It applies optimal control theory to the functional areas of management including finance, production and marketing, as well as the economics of growth and of natural resources. In addition, it features material on stochastic Nash and Stackelberg differential games and an adverse selection model in the principal-agent framework. Exercises are included in each chapter, while the answers to selected exercises help deepen readers’ understanding of the material covered. Also included are appendices of supplementary material on the solution of differential equations, the calculus of variations and its ties to the maximum principle, and special topics including the Kalman filter, certainty equivalence, singular control, a global saddle point theorem, Sethi-Skiba points, and distributed parameter systems. Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as the foundation for the book, in which the author applies it to business management problems developed from his own research and classroom instruction. The new edition has been refined and updated, making it a valuable resource for graduate courses on applied optimal control theory, but also for financial and industrial engineers, economists, and operational researchers interested in applying dynamic optimization in their fields.