Dynamic Programming and the Calculus of Variations

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Publisher : Academic Press
ISBN 13 : 0080955274
Total Pages : 271 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Dynamic Programming and the Calculus of Variations by : Dreyfus

Download or read book Dynamic Programming and the Calculus of Variations written by Dreyfus and published by Academic Press. This book was released on 1965-01-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Programming and the Calculus of Variations

Dynamic Programming and the Calculus of Variations

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Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (72 download)

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Book Synopsis Dynamic Programming and the Calculus of Variations by :

Download or read book Dynamic Programming and the Calculus of Variations written by and published by . This book was released on 1958 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamic Optimization, Second Edition

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Publisher : Courier Corporation
ISBN 13 : 0486310280
Total Pages : 402 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Dynamic Optimization, Second Edition by : Morton I. Kamien

Download or read book Dynamic Optimization, Second Edition written by Morton I. Kamien and published by Courier Corporation. This book was released on 2013-04-17 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal control. 1998 edition.

Dynamic Programming and the Calculus of Variations

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Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (258 download)

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Book Synopsis Dynamic Programming and the Calculus of Variations by : Stuart Ernest Dreyfus

Download or read book Dynamic Programming and the Calculus of Variations written by Stuart Ernest Dreyfus and published by . This book was released on 1967 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction To The Calculus of Variations And Its Applications

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Author :
Publisher : Routledge
ISBN 13 : 1351436511
Total Pages : 660 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Introduction To The Calculus of Variations And Its Applications by : Frederic Wan

Download or read book Introduction To The Calculus of Variations And Its Applications written by Frederic Wan and published by Routledge. This book was released on 2017-10-19 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive text provides all information necessary for an introductory course on the calculus of variations and optimal control theory. Following a thorough discussion of the basic problem, including sufficient conditions for optimality, the theory and techniques are extended to problems with a free end point, a free boundary, auxiliary and inequality constraints, leading to a study of optimal control theory.

Introduction to Variational Methods in Control Engineering

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Publisher : Elsevier
ISBN 13 : 1483139093
Total Pages : 133 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Introduction to Variational Methods in Control Engineering by : A. R. M. Noton

Download or read book Introduction to Variational Methods in Control Engineering written by A. R. M. Noton and published by Elsevier. This book was released on 2013-09-24 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Variational Methods in Control Engineering focuses on the design of automatic controls. The monograph first discusses the application of classical calculus of variations, including a generalization of the Euler-Lagrange equations, limitation of classical variational calculus, and solution of the control problem. The book also describes dynamic programming. Topics include the limitations of dynamic programming; general formulation of dynamic programming; and application to linear multivariable digital control systems. The text also underscores the continuous form of dynamic programming; Pontryagin's principle; and the two-point boundary problem. The book also touches on inaccessible state variables. Topics include the optimum realizable control law; observed data and vector spaces; design of the optimum estimator; and extension to the continuous systems. The book also presents a summary of potential applications, including complex control systems and on-line computer control. The text is recommended to readers and students wanting to explore the design of automatic controls.

Dynamic Programming and the Calculus of Variations

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Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (454 download)

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Book Synopsis Dynamic Programming and the Calculus of Variations by : Richard Bellman

Download or read book Dynamic Programming and the Calculus of Variations written by Richard Bellman and published by . This book was released on 1954 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Dynamic Programming

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Publisher : Elsevier
ISBN 13 : 1483136620
Total Pages : 300 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Introduction to Dynamic Programming by : Leon Cooper

Download or read book Introduction to Dynamic Programming written by Leon Cooper and published by Elsevier. This book was released on 2016-06-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Dynamic Programming introduces the reader to dynamic programming and presents the underlying mathematical ideas and results, as well as the application of these ideas to various problem areas. A large number of solved practical problems and computational examples are included to clarify the way dynamic programming is used to solve problems. A consistent notation is applied throughout the text for the expression of quantities such as state variables and decision variables. This monograph consists of 10 chapters and opens with an overview of dynamic programming as a particular approach to optimization, along with the basic components of any mathematical optimization model. The following chapters discuss the application of dynamic programming to variational problems; functional equations and the principle of optimality; reduction of state dimensionality and approximations; and stochastic processes and the calculus of variations. The final chapter looks at several actual applications of dynamic programming to practical problems, such as animal feedlot optimization and optimal scheduling of excess cash investment. This book should be suitable for self-study or for use as a text in a one-semester course on dynamic programming at the senior or first-year, graduate level for students of mathematics, statistics, operations research, economics, business, industrial engineering, or other engineering fields.

Dynamic Programming and Calculus of Variations

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Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.:/5 (329 download)

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Book Synopsis Dynamic Programming and Calculus of Variations by : Craig C. Sherbrooke

Download or read book Dynamic Programming and Calculus of Variations written by Craig C. Sherbrooke and published by . This book was released on 1960 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus of Variations and Optimal Control Theory

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Publisher : Princeton University Press
ISBN 13 : 0691151873
Total Pages : 255 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Calculus of Variations and Optimal Control Theory by : Daniel Liberzon

Download or read book Calculus of Variations and Optimal Control Theory written by Daniel Liberzon and published by Princeton University Press. This book was released on 2012 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control. Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study. Offers a concise yet rigorous introduction Requires limited background in control theory or advanced mathematics Provides a complete proof of the maximum principle Uses consistent notation in the exposition of classical and modern topics Traces the historical development of the subject Solutions manual (available only to teachers) Leading universities that have adopted this book include: University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems Georgia Institute of Technology ECE 6553: Optimal Control and Optimization University of Pennsylvania ESE 680: Optimal Control Theory University of Notre Dame EE 60565: Optimal Control

Applied Dynamic Programming

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Publisher : Princeton University Press
ISBN 13 : 1400874653
Total Pages : 389 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Applied Dynamic Programming by : Richard E. Bellman

Download or read book Applied Dynamic Programming written by Richard E. Bellman and published by Princeton University Press. This book was released on 2015-12-08 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive study of dynamic programming applied to numerical solution of optimization problems. It will interest aerodynamic, control, and industrial engineers, numerical analysts, and computer specialists, applied mathematicians, economists, and operations and systems analysts. Originally published in 1962. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Dynamic Programming in Chemical Engineering and Process Control by Sanford M Roberts

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Publisher : Elsevier
ISBN 13 : 0080955193
Total Pages : 473 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Dynamic Programming in Chemical Engineering and Process Control by Sanford M Roberts by : Sanford M. Roberts

Download or read book Dynamic Programming in Chemical Engineering and Process Control by Sanford M Roberts written by Sanford M. Roberts and published by Elsevier. This book was released on 1964-01-01 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Some Vistas of Modern Mathematics

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Publisher : University Press of Kentucky
ISBN 13 : 0813162076
Total Pages : 152 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Some Vistas of Modern Mathematics by : Richard Bellman

Download or read book Some Vistas of Modern Mathematics written by Richard Bellman and published by University Press of Kentucky. This book was released on 2014-07-15 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rapid advances in the physical and biological sciences and in related technologies have brought about equally farreaching changes in mathematical research. Focusing on control theory, invariant imbedding, dynamic programming, and quasilinearization, Mr. Bellman explores with ease and clarity the mathematical research problems arising from scientific questions in engineering, physics, biology, and medicine. Special attention is paid in these essays to the use of the digital computer in obtaining the numerical solution of numerical problems, its influence in the formulation of new and old scientific problems in new terms, and to some of the effects of the computer revolution on educational and social systems. The new opportunities for mathematical research presage, Bellman concludes, a renaissance of mathematics in human affairs by involving it closely in the problems of society.

Dynamic Programming and a New Formalism in the Calculus of Variations i

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Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (225 download)

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Book Synopsis Dynamic Programming and a New Formalism in the Calculus of Variations i by : Richard Bellman

Download or read book Dynamic Programming and a New Formalism in the Calculus of Variations i written by Richard Bellman and published by . This book was released on 1953 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper, shows that the functional equation technique introduced in previous works may be used to provide a new approach to some classical problems in the calculus of variations. In addition to furnishing a new analytic weapon, the method has great potentialities as a computational tool.

Principles of Dynamic Optimization

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Publisher : Springer Nature
ISBN 13 : 303150089X
Total Pages : 789 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Principles of Dynamic Optimization by : Piernicola Bettiol

Download or read book Principles of Dynamic Optimization written by Piernicola Bettiol and published by Springer Nature. This book was released on with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Dynamic Programming Approach to the Nonparametric Problem in the Calculus of Variations

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Publisher :
ISBN 13 :
Total Pages : 35 pages
Book Rating : 4.:/5 (222 download)

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Book Synopsis A Dynamic Programming Approach to the Nonparametric Problem in the Calculus of Variations by : Leonard David Berkovitz

Download or read book A Dynamic Programming Approach to the Nonparametric Problem in the Calculus of Variations written by Leonard David Berkovitz and published by . This book was released on 1964 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memorandum presents an approach to the nonparametric simple problem of the calculus of variations that is in the spirit of dynamic programming. Under the assumptions that the functions that define minimizing curves exhibit a certain regularity in their behavior, differentiability properties of the optimal value function W are determined. Then the fundamental partial differential equation of dynamic programming is obtained, and the necessary conditions of the calculus of variations, with the exception of Jacobi's condition, are deduced as immediate corollaries. (Author).

Differential Dynamic Programming

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Publisher : Elsevier Publishing Company
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Differential Dynamic Programming by : David H. Jacobson

Download or read book Differential Dynamic Programming written by David H. Jacobson and published by Elsevier Publishing Company. This book was released on 1970 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: