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Author : Milind Madhukar Lele
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (258 download)
Download or read book Optimal control in a bounded state space with economic application written by Milind Madhukar Lele and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Milind Madhukar Lele
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (769 download)
Download or read book Optimal Control in a Bounded State Space with Economic Applications written by Milind Madhukar Lele and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Léonard
Publisher : Cambridge University Press
ISBN 13 : 9780521337465
Total Pages : 372 pages
Book Rating : 4.3/5 (374 download)
Download or read book Optimal Control Theory and Static Optimization in Economics written by Daniel Léonard and published by Cambridge University Press. This book was released on 1992-01-31 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : B. J. Kirby
Publisher : Springer Science & Business Media
ISBN 13 : 3642482902
Total Pages : 413 pages
Book Rating : 4.6/5 (424 download)
Download or read book Optimal Control Theory and its Applications written by B. J. Kirby and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work (in two parts), Lecture Notes in Economics and Mathe matical Systems, Volume 105 and 106, constitutes the Proceedings of the Fourteenth Biennual Seminar of the Canadian Mathematical Congress, which was held from August 12 to August 25, 1973 at the University of Western Ontario, London, Ontario. The Canadian Mathematical Congress has held Biennual Seminars since 19~7, and these have covered a wide range of topics. The Seminar reported in this publication was concerned with "Optimal Control Theory and its Applications", a subject chosen for its active ~rowth and its wide implications for other fields. Both these aspects are exemplified in these Proceedings. Some lectures provided excellent surveys of particular fields whereas others concentrated on the presentation of new results. There were six distinguished Principal Lecturers: H.T. Banks, A.R. Dobell, H. Halkin, J.L. Lions, R.M. Thrall and W.M. Wonham, all of whom gave five to ten lectures during the two weeks of the Seminar. Except for Dr. Dobell's, these will all be found in Volume 105. Besides the Principal Lecturers there were three Guest Lecturers: M.C. Delfour, V. Jurdjevic and S.P. Sethi, who presented substantial bodies of material in two or three lectures and which are included in Volume 106. Many of the participants also spoke and reports of ~0st of these have also been included (Volume 106).
Author : Daniel Léonard
Publisher : Cambridge University Press
ISBN 13 : 1107717175
Total Pages : 385 pages
Book Rating : 4.1/5 (77 download)
Download or read book Optimal Control Theory and Static Optimization in Economics written by Daniel Léonard and published by Cambridge University Press. This book was released on 1992-01-31 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Thomas A. Weber
Publisher : MIT Press
ISBN 13 : 0262015730
Total Pages : 387 pages
Book Rating : 4.2/5 (62 download)
Download or read book Optimal Control Theory with Applications in Economics written by Thomas A. Weber and published by MIT Press. This book was released on 2011-09-30 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous introduction to optimal control theory, with an emphasis on applications in economics. This book bridges optimal control theory and economics, discussing ordinary differential equations, optimal control, game theory, and mechanism design in one volume. Technically rigorous and largely self-contained, it provides an introduction to the use of optimal control theory for deterministic continuous-time systems in economics. The theory of ordinary differential equations (ODEs) is the backbone of the theory developed in the book, and chapter 2 offers a detailed review of basic concepts in the theory of ODEs, including the solution of systems of linear ODEs, state-space analysis, potential functions, and stability analysis. Following this, the book covers the main results of optimal control theory, in particular necessary and sufficient optimality conditions; game theory, with an emphasis on differential games; and the application of control-theoretic concepts to the design of economic mechanisms. Appendixes provide a mathematical review and full solutions to all end-of-chapter problems. The material is presented at three levels: single-person decision making; games, in which a group of decision makers interact strategically; and mechanism design, which is concerned with a designer's creation of an environment in which players interact to maximize the designer's objective. The book focuses on applications; the problems are an integral part of the text. It is intended for use as a textbook or reference for graduate students, teachers, and researchers interested in applications of control theory beyond its classical use in economic growth. The book will also appeal to readers interested in a modeling approach to certain practical problems involving dynamic continuous-time models.
Author : Morton I. Kamien
Publisher : Courier Corporation
ISBN 13 : 0486310280
Total Pages : 402 pages
Book Rating : 4.4/5 (863 download)
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.
Author : Hajime Myoken
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.:/5 (89 download)
Download or read book Optimal Control Systems, Decision Structures, and Economic Applications written by Hajime Myoken and published by . This book was released on 1978 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yasuo Murata
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.:/5 (42 download)
Download or read book Optimal Control Methods for Linear Discrete-time Economic Systems written by Yasuo Murata and published by . This book was released on 1982 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : AERONAUTICAL RESEARCH ASSOCIATES OF PRINCETON INC N J.
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.:/5 (227 download)
Download or read book On Optimal Control with Bounded State Variables written by AERONAUTICAL RESEARCH ASSOCIATES OF PRINCETON INC N J. and published by . This book was released on 1964 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report surveys the present status of the bounded state space problem in optimal control theory. Two different methods are used to formulate the variational problem with each method providing a set of different but equivalent necessary conditions. The physical meaning of these conditions is examined along with their use in computational procedures. It is shown that the solution to the bounded state space problem requires the solution of a system of differential equations in which auxiliary conditions are specified not only at the initial and terminal points, but at each intermediate point at which the optimal trajectory enters or leaves the boundary surface. (Author).
Author : Lingfei Ni
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (897 download)
Download or read book Classic Optimal Control in Continuous Time with Applications in Economics written by Lingfei Ni and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This report shows the mathematics behind the solution to continuous time optimization problems. It shows how to specify the Hamiltonian function, how to use the Hamiltonian to obtain the optimal conditions for a typical economic optimal control problem and applies these techniques to several optimal control problems commonly encountered in macroeconomics. An appendix shows how to set up the optimal conditions for the case in which the state and co-state variables are both vectors. A second appendix shows how to approach the control situation for a system of optimal control problems where the co-state variable for the first sub-optimal control problem is the state variable for the second sub-optimal control problem.
Author : Adam Korytowski
Publisher : Springer
ISBN 13 : 3642048021
Total Pages : 515 pages
Book Rating : 4.6/5 (42 download)
Download or read book System Modeling and Optimization written by Adam Korytowski and published by Springer. This book was released on 2009-10-27 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: rd This book constitutes a collection of extended versions of papers presented at the 23 IFIP TC7 Conference on System Modeling and Optimization, which was held in C- cow, Poland, on July 23–27, 2007. It contains 7 plenary and 22 contributed articles, the latter selected via a peer reviewing process. Most of the papers are concerned with optimization and optimal control. Some of them deal with practical issues, e. g. , p- formance-based design for seismic risk reduction, or evolutionary optimization in structural engineering. Many contributions concern optimization of infini- dimensional systems, ranging from a general overview of the variational analysis, through optimization and sensitivity analysis of PDE systems, to optimal control of neutral systems. A significant group of papers is devoted to shape analysis and opti- zation. Sufficient optimality conditions for ODE problems, and stochastic control methods applied to mathematical finance, are also investigated. The remaining papers are on mathematical programming, modeling, and information technology. The conference was the 23rd event in the series of such meetings biennially org- ized under the auspices of the Seventh Technical Committee “Systems Modeling and Optimization” of the International Federation for Information Processing (IFIP TC7).
Author : Alexander J. Zaslavski
Publisher : Springer Nature
ISBN 13 : 981169298X
Total Pages : 387 pages
Book Rating : 4.8/5 (116 download)
Download or read book Optimal Control Problems Arising in Mathematical Economics written by Alexander J. Zaslavski and published by Springer Nature. This book was released on 2022-06-28 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of two large classes of discrete-time optimal control problems arising in mathematical economics. Nonautonomous optimal control problems of the first class are determined by a sequence of objective functions and sequence of constraint maps. They correspond to a general model of economic growth. We are interested in turnpike properties of approximate solutions and in the stability of the turnpike phenomenon under small perturbations of objective functions and constraint maps. The second class of autonomous optimal control problems corresponds to another general class of models of economic dynamics which includes the Robinson–Solow–Srinivasan model as a particular case. In Chap. 1 we discuss turnpike properties for a large class of discrete-time optimal control problems studied in the literature and for the Robinson–Solow–Srinivasan model. In Chap. 2 we introduce the first class of optimal control problems and study its turnpike property. This class of problems is also discussed in Chaps. 3–6. In Chap. 3 we study the stability of the turnpike phenomenon under small perturbations of the objective functions. Analogous results for problems with discounting are considered in Chap. 4. In Chap. 5 we study the stability of the turnpike phenomenon under small perturbations of the objective functions and the constraint maps. Analogous results for problems with discounting are established in Chap. 6. The results of Chaps. 5 and 6 are new. The second class of problems is studied in Chaps. 7–9. In Chap. 7 we study the turnpike properties. The stability of the turnpike phenomenon under small perturbations of the objective functions is established in Chap. 8. In Chap. 9 we establish the stability of the turnpike phenomenon under small perturbations of the objective functions and the constraint maps. The results of Chaps. 8 and 9 are new. In Chap. 10 we study optimal control problems related to a model of knowledge-based endogenous economic growth and show the existence of trajectories of unbounded economic growth and provide estimates for the growth rate.
Author : Suresh P. Sethi
Publisher : Taylor & Francis US
ISBN 13 : 9780387280929
Total Pages : 536 pages
Book Rating : 4.2/5 (89 download)
Download or read book Optimal Control Theory written by Suresh P. Sethi and published by Taylor & Francis US. This book was released on 2006 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as a foundation for the book, which the authors have applied to business management problems developed from their research and classroom instruction. Sethi and Thompson have provided management science and economics communities with a thoroughly revised edition of their classic text on Optimal Control Theory. The new edition has been completely refined with careful attention to the text and graphic material presentation. Chapters cover a range of topics including finance, production and inventory problems, marketing problems, machine maintenance and replacement, problems of optimal consumption of natural resources, and applications of control theory to economics. The book contains new results that were not available when the first edition was published, as well as an expansion of the material on stochastic optimal control theory.
Author : Sheldon S. L. Chang
Publisher :
ISBN 13 :
Total Pages : 90 pages
Book Rating : 4.E/5 ( download)
Download or read book Optimal Control in Bounded Phase Space written by Sheldon S. L. Chang and published by . This book was released on 1961 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bounded phase space condition is derived for a restricted class of problems. The condition is proved to be a necessary condition for optimal control in a fixed time interval with free end point. If the system is linear, and the allowed regions of phase variables and controls are convex, the condition is both necessary and sufficient, for optimal control in a fixed time interval, as well as minimal time control between two fixed points. (Author).
Author : Radoslaw Pytlak
Publisher : Springer Science & Business Media
ISBN 13 : 9783540662143
Total Pages : 244 pages
Book Rating : 4.6/5 (621 download)
Download or read book Numerical Methods for Optimal Control Problems with State Constraints written by Radoslaw Pytlak and published by Springer Science & Business Media. This book was released on 1999-08-19 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: While optimality conditions for optimal control problems with state constraints have been extensively investigated in the literature the results pertaining to numerical methods are relatively scarce. This book fills the gap by providing a family of new methods. Among others, a novel convergence analysis of optimal control algorithms is introduced. The analysis refers to the topology of relaxed controls only to a limited degree and makes little use of Lagrange multipliers corresponding to state constraints. This approach enables the author to provide global convergence analysis of first order and superlinearly convergent second order methods. Further, the implementation aspects of the methods developed in the book are presented and discussed. The results concerning ordinary differential equations are then extended to control problems described by differential-algebraic equations in a comprehensive way for the first time in the literature.
Author :
Publisher :
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4.3/5 (91 download)
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1978 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
