Global Asymptotic Stability of Optimal Control Systems with Applications to the Theory of Economic Growth

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ISBN 13 :
Total Pages : 27 pages
Book Rating : 4.:/5 (833 download)

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Book Synopsis Global Asymptotic Stability of Optimal Control Systems with Applications to the Theory of Economic Growth by : William A. Brock

Download or read book Global Asymptotic Stability of Optimal Control Systems with Applications to the Theory of Economic Growth written by William A. Brock and published by . This book was released on 1974 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Global Asymptotic Stability of Optimal Control with Applications to Dynamic Economic Theory

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Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (499 download)

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Book Synopsis The Global Asymptotic Stability of Optimal Control with Applications to Dynamic Economic Theory by : William A. Brock

Download or read book The Global Asymptotic Stability of Optimal Control with Applications to Dynamic Economic Theory written by William A. Brock and published by . This book was released on 1975 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Infinite Horizon Optimal Control

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Publisher : Springer Science & Business Media
ISBN 13 : 3662025299
Total Pages : 270 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Infinite Horizon Optimal Control by : Dean A. Carlson

Download or read book Infinite Horizon Optimal Control written by Dean A. Carlson and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with various classes of deterministic continuous time optimal control problems wh ich are defined over unbounded time intervala. For these problems, the performance criterion is described by an improper integral and it is possible that, when evaluated at a given admissible element, this criterion is unbounded. To cope with this divergence new optimality concepts; referred to here as "overtaking", "weakly overtaking", "agreeable plans", etc. ; have been proposed. The motivation for studying these problems arisee primarily from the economic and biological aciences where models of this nature arise quite naturally since no natural bound can be placed on the time horizon when one considers the evolution of the state of a given economy or species. The reeponsibility for the introduction of this interesting class of problems rests with the economiste who first studied them in the modeling of capital accumulation processes. Perhaps the earliest of these was F. Ramsey who, in his seminal work on a theory of saving in 1928, considered a dynamic optimization model defined on an infinite time horizon. Briefly, this problem can be described as a "Lagrange problem with unbounded time interval". The advent of modern control theory, particularly the formulation of the famoue Maximum Principle of Pontryagin, has had a considerable impact on the treatment of these models as well as optimization theory in general.

Stability And Time-optimal Control Of Hereditary Systems: With Application To The Economic Dynamics Of The Us (2nd Edition)

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813105852
Total Pages : 522 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Stability And Time-optimal Control Of Hereditary Systems: With Application To The Economic Dynamics Of The Us (2nd Edition) by : Ethelbert Nwakuche Chukwu

Download or read book Stability And Time-optimal Control Of Hereditary Systems: With Application To The Economic Dynamics Of The Us (2nd Edition) written by Ethelbert Nwakuche Chukwu and published by World Scientific Publishing Company. This book was released on 2001-12-28 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability and Time-Optimal Control of Hereditary Systems is the mathematical foundation and theory required for studying in depth the stability and optimal control of systems whose history is taken into account. In this edition, the economic application is enlarged, and explored in some depth. The application holds out the hope that full employment and high income growth will be compatible with low prices and low inflation, provided that the control matrix has full rank, i.e., the existing controls are fully effectively used. The book concludes with a new appendix containing complete programs, data, graphs and quantitative results for the US economy.

Optimal Control Methods for Linear Discrete-Time Economic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461257379
Total Pages : 210 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Optimal Control Methods for Linear Discrete-Time Economic Systems by : Y. Murata

Download or read book Optimal Control Methods for Linear Discrete-Time Economic Systems written by Y. Murata and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: As our title reveals, we focus on optimal control methods and applications relevant to linear dynamic economic systems in discrete-time variables. We deal only with discrete cases simply because economic data are available in discrete forms, hence realistic economic policies should be established in discrete-time structures. Though many books have been written on optimal control in engineering, we see few on discrete-type optimal control. More over, since economic models take slightly different forms than do engineer ing ones, we need a comprehensive, self-contained treatment of linear optimal control applicable to discrete-time economic systems. The present work is intended to fill this need from the standpoint of contemporary macroeconomic stabilization. The work is organized as follows. In Chapter 1 we demonstrate instru ment instability in an economic stabilization problem and thereby establish the motivation for our departure into the optimal control world. Chapter 2 provides fundamental concepts and propositions for controlling linear deterministic discrete-time systems, together with some economic applica tions and numerical methods. Our optimal control rules are in the form of feedback from known state variables of the preceding period. When state variables are not observable or are accessible only with observation errors, we must obtain appropriate proxies for these variables, which are called "observers" in deterministic cases or "filters" in stochastic circumstances. In Chapters 3 and 4, respectively, Luenberger observers and Kalman filters are discussed, developed, and applied in various directions. Noticing that a separation principle lies between observer (or filter) and controller (cf.

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.

Stability and Time-optimal Control of Hereditary Systems

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Publisher : World Scientific
ISBN 13 : 9789810246747
Total Pages : 532 pages
Book Rating : 4.2/5 (467 download)

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Book Synopsis Stability and Time-optimal Control of Hereditary Systems by : Ethelbert N. Chukwu

Download or read book Stability and Time-optimal Control of Hereditary Systems written by Ethelbert N. Chukwu and published by World Scientific. This book was released on 2001 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability and Time-Optimal Control of Hereditary Systems is the mathematical foundation and theory required for studying in depth the stability and optimal control of systems whose history is taken into account. In this edition, the economic application is enlarged, and explored in some depth. The application holds out the hope that full employment and high income growth will be compatible with low prices and low inflation, provided that the control matrix has full rank, i.e., the existing controls are fully effectively used. The book concludes with a new appendix containing complete programs, data, graphs and quantitative results for the US economy.

Optimal Control Theory with Applications in Economics

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Publisher : MIT Press
ISBN 13 : 0262015730
Total Pages : 387 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Optimal Control Theory with Applications in Economics by : Thomas A. Weber

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.

The Global Asymptotic Stability of Optimal Control

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Publisher :
ISBN 13 :
Total Pages : 37 pages
Book Rating : 4.:/5 (833 download)

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Book Synopsis The Global Asymptotic Stability of Optimal Control by : William A. Brock

Download or read book The Global Asymptotic Stability of Optimal Control written by William A. Brock and published by . This book was released on 1976 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Hamiltonian Approach to Dynamic Economics

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Publisher : Academic Press
ISBN 13 : 1483266850
Total Pages : 212 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Hamiltonian Approach to Dynamic Economics by : David Cass

Download or read book The Hamiltonian Approach to Dynamic Economics written by David Cass and published by Academic Press. This book was released on 2014-05-10 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Hamiltonian Approach to Dynamic Economics focuses on the application of the Hamiltonian approach to dynamic economics and attempts to provide some unification of the theory of heterogeneous capital. Emphasis is placed on the stability of long-run steady-state equilibrium in models of heterogeneous capital accumulation. Generalizations of the Samuelson-Scheinkman approach are also given. Moreover, conditions are sought on the geometry of the Hamiltonian function (that is, on static technology) that suffice to preserve under (not necessarily small) perturbation the basic properties of the Hamiltonian dynamical system. Comprised of eight essays, this book begins with an introduction to Hamiltonian dynamics in economics, followed by a discussion on optimal steady states of n-sector growth models when utility is discounted. Optimal growth and decentralized or descriptive growth models in both continuous and discrete time are treated as applications of Hamiltonian dynamics. Theproblem of optimal growth with zero discounting is considered, with emphasis on a steepness condition on the Hamiltonian function. The general problem of decentralized growth with instantaneously adjusted expectations about price changes is also analyzed, along with the global asymptotic stability of optimal control systems with applications to the theory of economic growth. This monograph will be of value to mathematicians and economists.

Proceedings of the Sixth International Conference on Difference Equations Augsburg, Germany 2001

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Publisher : CRC Press
ISBN 13 : 9780203575437
Total Pages : 590 pages
Book Rating : 4.5/5 (754 download)

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Book Synopsis Proceedings of the Sixth International Conference on Difference Equations Augsburg, Germany 2001 by : Bernd Aulbach

Download or read book Proceedings of the Sixth International Conference on Difference Equations Augsburg, Germany 2001 written by Bernd Aulbach and published by CRC Press. This book was released on 2004-06-07 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises selected papers presented at the Sixth International Conference on Difference Equations which was held at Augsburg, Germany. It covers all themes in the fields of discrete dynamical systems and ordinary and partial difference equations, classical and contemporary, theoretical and applied. It provides a useful reference text for graduates and researchers working in this area of mathematics.

Economic Dynamics

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Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis Economic Dynamics by : William A. Brock

Download or read book Economic Dynamics written by William A. Brock and published by . This book was released on 1986 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Equilibrium, Trade, and Growth

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Publisher : MIT Press
ISBN 13 : 0262135019
Total Pages : 489 pages
Book Rating : 4.2/5 (621 download)

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Book Synopsis Equilibrium, Trade, and Growth by : Lionel W. McKenzie

Download or read book Equilibrium, Trade, and Growth written by Lionel W. McKenzie and published by MIT Press. This book was released on 2009 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: A selection of papers by a pioneer in neoclassical economics that traces the development of his thought in three crucial areas.

Optimal Control and Dynamic Games

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Publisher : Springer Science & Business Media
ISBN 13 : 0387258051
Total Pages : 351 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Optimal Control and Dynamic Games by : Christophe Deissenberg

Download or read book Optimal Control and Dynamic Games written by Christophe Deissenberg and published by Springer Science & Business Media. This book was released on 2005-11-03 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Control and Dynamic Games has been edited to honor the outstanding contributions of Professor Suresh Sethi in the fields of Applied Optimal Control. Professor Sethi is internationally one of the foremost experts in this field. He is, among others, co-author of the popular textbook "Sethi and Thompson: Optimal Control Theory: Applications to Management Science and Economics". The book consists of a collection of essays by some of the best known scientists in the field, covering diverse aspects of applications of optimal control and dynamic games to problems in Finance, Management Science, Economics, and Operations Research. In doing so, it provides both a state-of-the-art overview over recent developments in the field, and a reference work covering the wide variety of contemporary questions that can be addressed with optimal control tools, and demonstrates the fruitfulness of the methodology.

Economic Growth Theory

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Publisher : Routledge
ISBN 13 : 1351159429
Total Pages : 394 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Economic Growth Theory by : Wei-Bin Zhang

Download or read book Economic Growth Theory written by Wei-Bin Zhang and published by Routledge. This book was released on 2018-01-18 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a new theoretical framework to examine the issues of economic growth and development. Providing analysis of economic dynamics in a competitive economy under government intervention in infrastructure and income distribution, the book develops a unique analytical framework under the influence of traditional neoclassical growth theory. However, in a departure from neoclassical growth theory it examines both the Solow-Swan and the Ramsey growth models, introducing a utility function which treats consumer choices in ways critically different to previous approaches. Using practical examples and models the book demonstrates how this new direction can effectively analyze the key issues of economic growth, in a compact and comprehensive manner.

Journal of economic theory

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ISBN 13 :
Total Pages : pages
Book Rating : 4.0/5 (531 download)

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Book Synopsis Journal of economic theory by : Universidade da Coruña

Download or read book Journal of economic theory written by Universidade da Coruña and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimization and Chaos

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Publisher : Springer Science & Business Media
ISBN 13 : 3662040603
Total Pages : 464 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Optimization and Chaos by : Mukul Majumdar

Download or read book Optimization and Chaos written by Mukul Majumdar and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays brings together some articles on dynamic optimization models that exhibit chaotic behavior. Chapters 3, 4, 5, 6, 7, and 9 appeared in a Symposium on Chaotic Dynamical Systems in Economic Theory (Volume 4, Number 5, 1994). Also, Chapters 10,11, and 12 appeared in the Journal of Economic The ory. We would like to thank the authors, and Academic Press for permission to reprint. We are grateful to Professor C.D. Aliprantis for suggesting the idea of a book structured around the Economic Theory Symposium, and without the support and patience of Dr. Mueller this project could not have been completed. We would like to thank Ms. Amy Gowan who cheerfully per formed the arduous task of typing the manuscript. Thanks are also due to Xiao Qing Yu, Tridip Ray and Malabika Majumdar for their help at various stages in the preparation of the manuscript. For a course on dynamic optimization addressed to students with a good background in economic theory and real analysis, one can assign Chapter 2 as a partial introduction to the basic tech niques. Chapters 3 and 4 can be assigned to provide examples of simple optmization models generating complicated behavior.