Mathematical Programming And Control Theory
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Mathematical Programming And Control Theory
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Author : B. D. Craven
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Programming And Control Theory written by B. D. Craven and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
In a mathematical programming problem, an optimum (maxi mum or minimum) of a function is sought, subject to con straints on the values of the variables. In the quarter century since G. B. Dantzig introduced the simplex method for linear programming, many real-world problems have been modelled in mathematical programming terms. Such problems often arise in economic planning - such as scheduling industrial production or transportation - but various other problems, such as the optimal control of an interplanetary rocket, are of similar kind. Often the problems involve nonlinear func tions, and so need methods more general than linear pro gramming. This book presents a unified theory of nonlinear mathe matical programming. The same methods and concepts apply equally to 'nonlinear programming' problems with a finite number of variables, and to 'optimal control' problems with e. g. a continuous curve (i. e. infinitely many variables). The underlying ideas of vector space, convex cone, and separating hyperplane are the same, whether the dimension is finite or infinite; and infinite dimension makes very little difference to the proofs. Duality theory - the various nonlinear generaliz ations of the well-known duality theorem of linear program ming - is found relevant also to optimal control, and the , PREFACE Pontryagin theory for optimal control also illuminates finite dimensional problems. The theory is simplified, and its applicability extended, by using the geometric concept of convex cones, in place of coordinate inequalities.
Mathematical Programming And Control Theory
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Author : B. D Craven
language : en
Publisher:
Release Date : 1978-10-12
Mathematical Programming And Control Theory written by B. D Craven and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-10-12 with categories.
Theory Of Optimal Control And Mathematical Programming
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Author : Michael D. Canon
language : en
Publisher: New York ; Toronto : McGraw-Hill Book Company
Release Date : 1970
Theory Of Optimal Control And Mathematical Programming written by Michael D. Canon and has been published by New York ; Toronto : McGraw-Hill Book Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Control theory categories.
"This book has three basic aims: to present a unified theory of optimization, to introduce nonlinear programming algorithms to the control engineer, and to introduce the nonlinear programming expert to optimal control. This volume can be used either as a graduate text or as a reference text." --Preface.
Control Theory And The Calculus Of Variations
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Author : A. V. Balakrishnan
language : en
Publisher:
Release Date : 1969
Control Theory And The Calculus Of Variations written by A. V. Balakrishnan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
Quadratic variational theory; Stochastic functional equations: continuity properties and relation to ordinary equations; Partial regularity theorems for elliptic systems; Strengthening caratheodory's method to apply in control problems; Optimal control problems as mathematical programming in an unorthodox function space; Controlled diffusions under polynomial growth conditions; Separation and support properties of convex sets - a survey; Some non-classical variational problems arising from optimal filter problems; A new existence theorem in the class of piecewise continuous control functions; The epsilon technique - a constructive approach to optimal control; Lagrange multipliers re-visited.
Optimal Control
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Author : William W. Hager
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Optimal Control written by William W. Hager and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Technology & Engineering categories.
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.
Mathematical Control Theory
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Author : Jerzy Zabczyk
language : en
Publisher: Springer Science & Business Media
Release Date : 2008
Mathematical Control Theory written by Jerzy Zabczyk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Language Arts & Disciplines categories.
In a mathematically precise manner, this book presents a unified introduction to deterministic control theory. It includes material on the realization of both linear and nonlinear systems, impulsive control, and positive linear systems.
Dynamic Programming And Modern Control Theory
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Author : Richard Bellman
language : en
Publisher: Academic Press
Release Date : 1965
Dynamic Programming And Modern Control Theory written by Richard Bellman and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Computers categories.
Dynamic Programming and Modern Control Theory
Optimal Control Theory
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Author : Donald E. Kirk
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26
Optimal Control Theory written by Donald E. Kirk and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Technology & Engineering categories.
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.
Mathematical Introduction To Control Theory A Third Edition
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Author : Shlomo Engelberg
language : en
Publisher: World Scientific
Release Date : 2024-04-29
Mathematical Introduction To Control Theory A Third Edition written by Shlomo Engelberg and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-29 with Technology & Engineering categories.
The 3rd edition strikes a nice balance between mathematical rigor and engineering oriented applications, helping students to understand the mathematical and engineering aspects of control theory.The book makes effective use of the tools provided by MATLAB® (and includes material about using the tools provided by the Python® programming language) in the design and analysis of control systems without allowing the computer-based tools to substitute for knowledge of control theory. The examples in the text are carefully designed to develop the student's intuition — in both mathematics and engineering.With over 90 solved homework problems and about 200 figures, this invaluable title will benefit junior and senior level university students in engineering.
Mathematical Control Theory
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Author : Jerzy Zabczyk
language : en
Publisher: Birkhauser
Release Date : 1992
Mathematical Control Theory written by Jerzy Zabczyk and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
"This book is designed as a graduate text on the mathematical theory of deterministic control. It covers a remarkable number of topics... The book includes material on the realization of both linear and nonlinear systems, impulsive control, and positive linear systemsa "subjects not usually covered in an 'introductory' book... To get so much material in such a short space, the pace of the presentation is brisk. However, the exposition is excellent, and the book is a joy to read. A novel one-semester course covering both linear and nonlinear systems could be given... The book is an excellent one for introducing a mathematician to control theory. The book presents a large amount of material very well, and its use is highly recommended." a "Bulletin of the AMS Mathematical Control Theory: An Introduction presents, in a mathematically precise manner, a unified introduction to deterministic control theory. With the exception of a few more advanced concepts required for the final part of the book, this presentation requires only a knowledge of basic facts from linear algebra, differential equations, and calculus. In addition to classical concepts and ideas, the author covers the stabilization of nonlinear systems using topological methods, realization theory for nonlinear systems, impulsive control and positive systems, the control of rigid bodies, the stabilization of infinite dimensional systems, and the solution of minimum energy problems. The book will be ideal for a beginning graduate course in mathematical control theory, or for self study by professionals needing a complete picture of the mathematical theory that underlies the applications of control theory.