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Optimal Control Of Linear Discrete Macroeconomic Systems
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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.
Book Synopsis Constrained Optimal Control of Linear and Hybrid Systems by : Francesco Borrelli
Download or read book Constrained Optimal Control of Linear and Hybrid Systems written by Francesco Borrelli and published by Springer. This book was released on 2003-09-04 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many practical control problems are dominated by characteristics such as state, input and operational constraints, alternations between different operating regimes, and the interaction of continuous-time and discrete event systems. At present no methodology is available to design controllers in a systematic manner for such systems. This book introduces a new design theory for controllers for such constrained and switching dynamical systems and leads to algorithms that systematically solve control synthesis problems. The first part is a self-contained introduction to multiparametric programming, which is the main technique used to study and compute state feedback optimal control laws. The book's main objective is to derive properties of the state feedback solution, as well as to obtain algorithms to compute it efficiently. The focus is on constrained linear systems and constrained linear hybrid systems. The applicability of the theory is demonstrated through two experimental case studies: a mechanical laboratory process and a traction control system developed jointly with the Ford Motor Company in Michigan.
Book Synopsis Optimal Control Theory and Static Optimization in Economics by : Daniel Léonard
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.
Book Synopsis Optimal Control of Linear Discrete Macroeconomic Systems by : Kioumars Paryani
Download or read book Optimal Control of Linear Discrete Macroeconomic Systems written by Kioumars Paryani and published by . This book was released on 1972 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Discrete-Time Markov Jump Linear Systems by : O.L.V. Costa
Download or read book Discrete-Time Markov Jump Linear Systems written by O.L.V. Costa and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This will be the most up-to-date book in the area (the closest competition was published in 1990) This book takes a new slant and is in discrete rather than continuous time
Book Synopsis Optimal Control by : Brian D. O. Anderson
Download or read book Optimal Control written by Brian D. O. Anderson and published by Courier Corporation. This book was released on 2007-02-27 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous examples highlight this treatment of the use of linear quadratic Gaussian methods for control system design. It explores linear optimal control theory from an engineering viewpoint, with illustrations of practical applications. Key topics include loop-recovery techniques, frequency shaping, and controller reduction. Numerous examples and complete solutions. 1990 edition.
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 . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Control Theory for Infinite Dimensional Systems by : Xungjing Li
Download or read book Optimal Control Theory for Infinite Dimensional Systems written by Xungjing Li and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinite dimensional systems can be used to describe many phenomena in the real world. As is well known, heat conduction, properties of elastic plastic material, fluid dynamics, diffusion-reaction processes, etc., all lie within this area. The object that we are studying (temperature, displace ment, concentration, velocity, etc.) is usually referred to as the state. We are interested in the case where the state satisfies proper differential equa tions that are derived from certain physical laws, such as Newton's law, Fourier's law etc. The space in which the state exists is called the state space, and the equation that the state satisfies is called the state equation. By an infinite dimensional system we mean one whose corresponding state space is infinite dimensional. In particular, we are interested in the case where the state equation is one of the following types: partial differential equation, functional differential equation, integro-differential equation, or abstract evolution equation. The case in which the state equation is being a stochastic differential equation is also an infinite dimensional problem, but we will not discuss such a case in this book.
Book Synopsis Dynamic Modelling and Control of National Economies 1989 by : N.M. Christodoulakis
Download or read book Dynamic Modelling and Control of National Economies 1989 written by N.M. Christodoulakis and published by Elsevier. This book was released on 2014-06-28 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Symposium aimed at analysing and solving the various problems of representation and analysis of decision making in economic systems starting from the level of the individual firm and ending up with the complexities of international policy coordination. The papers are grouped into subject areas such as game theory, control methods, international policy coordination and the applications of artificial intelligence and experts systems as a framework in economic modelling and control. The Symposium therefore provides a wide range of important information for those involved or interested in the planning of company and national economics.
Book Synopsis Control and Dynamic Systems V28 by : C.T. Leonides
Download or read book Control and Dynamic Systems V28 written by C.T. Leonides and published by Elsevier. This book was released on 2012-12-02 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems: Advances in Theory in Applications, Volume 28: Advances in Algorithms and Computational Techniques in Dynamic Systems Control, Part 1 of 3 discusses developments in algorithms and computational techniques for control and dynamic systems. This book presents algorithms and numerical techniques used for the analysis and control design of stochastic linear systems with multiplicative and additive noise. It also discusses computational techniques for the matrix pseudoinverse in minimum variance reduced-order filtering and control; decomposition technique in multiobjective discrete-time dynamic problems; computational techniques in robotic systems; reduced complexity algorithm using microprocessors; algorithms for image-based tracking; and modeling of linear and nonlinear systems. This volume will be an important reference source for practitioners in the field who are looking for techniques with significant applied implications.
Book Synopsis Applied Macroeconomics for Public Policy by : Rafael Yanushevsky
Download or read book Applied Macroeconomics for Public Policy written by Rafael Yanushevsky and published by Academic Press. This book was released on 2018-09-28 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Macroeconomics for Public Policy applies system and control theory approaches to macroeconomic problems. The book shows how to build simple and efficient macroeconomic models for policy analysis. By using these models, instead of complex multi-criteria models with uncertain parameters, readers will gain new certainty in macroeconomic decision-making. As high debt to GDP ratios cause problems in societies, this book provides insights on improving economies during and after economic downturns. - Provides a detailed analysis of existing macroeconomic models - Addresses the dynamics of debt to GDP ratio and the effects of fiscal and monetary policy on this ratio - Shows how to use models to evaluate the dynamics of the debt to GDP ratio in cases of government spending and tax cuts and to decide whether such economic measures are efficient - Uses optimal theory to obtain optimal yearly debt levels to reach the established goals (decrease debt or balance budget) - Provides many examples and software exercises to promote learning by doing
Book Synopsis System Structure and Control 1992 by : V. Strejc
Download or read book System Structure and Control 1992 written by V. Strejc and published by Elsevier. This book was released on 2014-06-28 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a useful reference source on system structure and control. Covers, linear systems, nonlinear systems, robust control, implicit system, chaotic systems, singular and time-varying systems.
Download or read book Optimal Control written by Zoran Gajic and published by CRC Press. This book was released on 2018-10-03 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique in scope, Optimal Control: Weakly Coupled Systems and Applications provides complete coverage of modern linear, bilinear, and nonlinear optimal control algorithms for both continuous-time and discrete-time weakly coupled systems, using deterministic as well as stochastic formulations. This book presents numerous applications to real world systems from various industries, including aerospace, and discusses the design of subsystem-level optimal filters. Organized into independent chapters for easy access to the material, this text also contains several case studies, examples, exercises, computer assignments, and formulations of research problems to help instructors and students.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1979 with total page 1074 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A European Central Bank? by : Marcello De Cecco
Download or read book A European Central Bank? written by Marcello De Cecco and published by Cambridge University Press. This book was released on 1989-05-25 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume analyse the issues of having a single European currency.
Book Synopsis Dynamic Macroeconomic Theory by : Thomas J. Sargent
Download or read book Dynamic Macroeconomic Theory written by Thomas J. Sargent and published by Harvard University Press. This book was released on 2009-06-01 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The tasks of macroeconomics are to interpret observations on economic aggregates in terms of the motivations and constraints of economic agents and to predict the consequences of alternative hypothetical ways of administering government economic policy. General equilibrium models form a convenient context for analyzing such alternative government policies. In the past ten years, the strengths of general equilibrium models and the corresponding deficiencies of Keynesian and monetarist models of the 1960s have induced macroeconomists to begin applying general equilibrium models. This book describes some general equilibrium models that are dynamic, that have been built to help interpret time-series of observations of economic aggregates and to predict the consequences of alternative government interventions. The first part of the book describes dynamic programming, search theory, and real dynamic capital pricing models. Among the applications are stochastic optimal growth models, matching models, arbitrage pricing theories, and theories of interest rates, stock prices, and options. The remaining parts of the book are devoted to issues in monetary theory; currency-in-utility-function models, cash-in-advance models, Townsend turnpike models, and overlapping generations models are all used to study a set of common issues. By putting these models to work on concrete problems in exercises offered throughout the text, Sargent provides insights into the strengths and weaknesses of these models of money. An appendix on functional analysis shows the unity that underlies the mathematics used in disparate areas of rational expectations economics. This book on dynamic equilibrium macroeconomics is suitable for graduate-level courses; a companion book, Exercises in Dynamic Macroeconomic Theory, provides answers to the exercises and is also available from Harvard University Press.
Book Synopsis Filtering and Control of Macroeconomic Systems by : M.J.M. Rao
Download or read book Filtering and Control of Macroeconomic Systems written by M.J.M. Rao and published by Elsevier. This book was released on 2013-10-22 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in computer technology, coupled with the sophistication of econometric modelling, have enabled rapid progress in the formulation and solution of optimal control and filtering programmes, especially in the sphere of macroeconomic policy designing. These developments in systems methodology have prompted the need for an interface between optimal control theory and dynamic macroeconomic analysis. The implications of this convergence have already aroused a great deal of research, but it remains to be seen whether policy makers in most developing countries will consider actually incorporating these techniques into planning. The author argues that control and systems theory can be of immense help in stabilizing those economies plagued by cyclical and structural problems. By demonstrating the applicability of control & filter theory to short-term macroeconomic planning, this book illuminates the impressive array of problems that can thereby be solved, and helps foster a closer working relationship between economists and control theorists. The work deals specifically with the construction of a Kalman filter mechanism, for deriving short-term optimal economic policies under conditions of uncertainty. It specifies and resolves a macroeconometric model which is linked to a unique observation sub-system of a given economy, congruent with the errors in information signalling which are prevalent within the data base context of most developing countries. An evaluation of control settings contrasts short and long-term economic policies. This indicates that an economy may `overheat' under protracted settings of instrument values around their optimal levels if the constraints on the system, in the form of external shocks, are too great to allow reaching all targets simultaneously using feasible instrument paths.
