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Author : Masanao Aoki
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.:/5 (75 download)
Download or read book Optimal Control and System Theory in Dynamic Analysis written by Masanao Aoki and published by . This book was released on 1976 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Masanao Aoki
Publisher : North Holland
ISBN 13 : 9780720486032
Total Pages : 400 pages
Book Rating : 4.4/5 (86 download)
Download or read book Optimal Control and System Theory in Dynamic Economic Analysis written by Masanao Aoki and published by North Holland. This book was released on 1976-01-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N. U. Ahmed
Publisher : Springer Nature
ISBN 13 : 3030821390
Total Pages : 328 pages
Book Rating : 4.0/5 (38 download)
Download or read book Optimal Control of Dynamic Systems Driven by Vector Measures written by N. U. Ahmed and published by Springer Nature. This book was released on 2021-09-13 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the development of optimal control theory for finite dimensional systems governed by deterministic and stochastic differential equations driven by vector measures. The book deals with a broad class of controls, including regular controls (vector-valued measurable functions), relaxed controls (measure-valued functions) and controls determined by vector measures, where both fully and partially observed control problems are considered. In the past few decades, there have been remarkable advances in the field of systems and control theory thanks to the unprecedented interaction between mathematics and the physical and engineering sciences. Recently, optimal control theory for dynamic systems driven by vector measures has attracted increasing interest. This book presents this theory for dynamic systems governed by both ordinary and stochastic differential equations, including extensive results on the existence of optimal controls and necessary conditions for optimality. Computational algorithms are developed based on the optimality conditions, with numerical results presented to demonstrate the applicability of the theoretical results developed in the book. This book will be of interest to researchers in optimal control or applied functional analysis interested in applications of vector measures to control theory, stochastic systems driven by vector measures, and related topics. In particular, this self-contained account can be a starting point for further advances in the theory and applications of dynamic systems driven and controlled by vector measures.
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 : 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 : Sergey E. Lyshevski
Publisher : Springer Science & Business Media
ISBN 13 : 1461201535
Total Pages : 425 pages
Book Rating : 4.4/5 (612 download)
Download or read book Control Systems Theory with Engineering Applications written by Sergey E. Lyshevski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamics systems (living organisms, electromechanical and industrial systems, chemical and technological processes, market and ecology, and so forth) can be considered and analyzed using information and systems theories. For example, adaptive human behavior can be studied using automatic feedback control. As an illustrative example, the driver controls a car changing the speed and steer ing wheels using incoming information, such as traffic and road conditions. This book focuses on the most important and manageable topics in applied multivariable control with application to a wide class of electromechanical dynamic systems. A large spectrum of systems, familiar to electrical, mechanical, and aerospace stu dents, engineers, and scholars, are thoroughly studied to build the bridge between theory and practice as well as to illustrate the practical application of control theory through illustrative examples. It is the author's goal to write a book that can be used to teach undergraduate and graduate classes in automatic control and nonlin ear control at electrical, mechanical, and aerospace engineering departments. The book is also addressed to engineers and scholars, and the examples considered allow one to implement the theory in a great variety of industrial systems. The main purpose of this book is to help the reader grasp the nature and significance of multivariable control.
Author : Masano Aoki
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.:/5 (75 download)
Download or read book Optimal Control and Systems Theory in Dynamic Economic Analysis written by Masano Aoki and published by . This book was released on 1976 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Academic Press
ISBN 13 : 9780120127719
Total Pages : 349 pages
Book Rating : 4.1/5 (277 download)
Download or read book Discrete-Time Control System Analysis and Design written by and published by Academic Press. This book was released on 1995-10-03 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for Previous Volumes "This book will be a useful reference to control engineers and researchers. The papers contained cover well the recent advances in the field of modern control theory." -IEEE GROUP CORRESPONDENCE "This book will help all those researchers who valiantly try to keep abreast of what is new in the theory and practice of optimal control." -CONTROL
Author : Svetlin G. Georgiev
Publisher : Springer Nature
ISBN 13 : 3030761320
Total Pages : 882 pages
Book Rating : 4.0/5 (37 download)
Download or read book Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales written by Svetlin G. Georgiev and published by Springer Nature. This book was released on 2021-07-15 with total page 882 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of dynamic equations has many interesting applications in control theory, mathematical economics, mathematical biology, engineering and technology. In some cases, there exists uncertainty, ambiguity, or vague factors in such problems, and fuzzy theory and interval analysis are powerful tools for modeling these equations on time scales. The aim of this book is to present a systematic account of recent developments; describe the current state of the useful theory; show the essential unity achieved in the theory fuzzy dynamic equations, dynamic inclusions and optimal control problems on time scales; and initiate several new extensions to other types of fuzzy dynamic systems and dynamic inclusions. The material is presented in a highly readable, mathematically solid format. Many practical problems are illustrated, displaying a wide variety of solution techniques. The book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. Students in mathematical and physical sciences will find many sections of direct relevance.
Author : Thomas L. Vincent
Publisher : John Wiley & Sons
ISBN 13 : 9780471042358
Total Pages : 584 pages
Book Rating : 4.0/5 (423 download)
Download or read book Nonlinear and Optimal Control Systems written by Thomas L. Vincent and published by John Wiley & Sons. This book was released on 1997-06-23 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for one-semester introductory senior-or graduate-level course, the authors provide the student with an introduction of analysis techniques used in the design of nonlinear and optimal feedback control systems. There is special emphasis on the fundamental topics of stability, controllability, and optimality, and on the corresponding geometry associated with these topics. Each chapter contains several examples and a variety of exercises.
Author : Masanao Aoki
Publisher : Elsevier
ISBN 13 : 0323140793
Total Pages : 425 pages
Book Rating : 4.3/5 (231 download)
Download or read book New Trends In Dynamic Systems Theory And Economics written by Masanao Aoki and published by Elsevier. This book was released on 1979-01-28 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Trends in Dynamic System Theory and Economics contains selected papers presented at a two-week seminar on New Trends in Dynamic System Theory and Economics held at the International Center for Mechanical Sciences in Udine, Italy, on September 12-23, 1977. Contributors discuss recent trends in the application of dynamic system theory in economic analysis, paying particular attention to information patterns and uncertainty, optimal control theory and its application, and disequilibrium analysis. This book is divided into three sections and consists of 20 chapters. Decision problems of agents with different or imperfect information or under uncertainty are first discussed. This section gives a detailed analysis of the properties of Nash and Stackelberg equilibria in dynamic games under several different information patterns. Consideration is also given to microdecision problems of individual agents, macroeconomic stabilization of an uncertain dynamic economy, and the uncertainty of parameter values. The chapters that follow focus on recent advances in optimal control theory and application of control theory. Disequilibrium analysis of a macroeconomic model is presented, along with the dynamics of disequilibria of a macroeconomic model with flexible wages and prices. A generalization of Pareto optimality is used to discuss the connection between the optimality and stability problems in a general setting. The last three chapters explore ""modern"" approaches to tâtonnement processes. This book will be of interest to students and practitioners of applied mathematics and econometrics.
Author : Giorgio Fabbri
Publisher : Springer
ISBN 13 : 3319530674
Total Pages : 928 pages
Book Rating : 4.3/5 (195 download)
Download or read book Stochastic Optimal Control in Infinite Dimension written by Giorgio Fabbri and published by Springer. This book was released on 2017-06-22 with total page 928 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an introduction to stochastic optimal control in infinite dimension, this book gives a complete account of the theory of second-order HJB equations in infinite-dimensional Hilbert spaces, focusing on its applicability to associated stochastic optimal control problems. It features a general introduction to optimal stochastic control, including basic results (e.g. the dynamic programming principle) with proofs, and provides examples of applications. A complete and up-to-date exposition of the existing theory of viscosity solutions and regular solutions of second-order HJB equations in Hilbert spaces is given, together with an extensive survey of other methods, with a full bibliography. In particular, Chapter 6, written by M. Fuhrman and G. Tessitore, surveys the theory of regular solutions of HJB equations arising in infinite-dimensional stochastic control, via BSDEs. The book is of interest to both pure and applied researchers working in the control theory of stochastic PDEs, and in PDEs in infinite dimension. Readers from other fields who want to learn the basic theory will also find it useful. The prerequisites are: standard functional analysis, the theory of semigroups of operators and its use in the study of PDEs, some knowledge of the dynamic programming approach to stochastic optimal control problems in finite dimension, and the basics of stochastic analysis and stochastic equations in infinite-dimensional spaces.
Author : D. Subbaram Naidu
Publisher : CRC Press
ISBN 13 : 1351830317
Total Pages : 236 pages
Book Rating : 4.3/5 (518 download)
Download or read book Optimal Control Systems written by D. Subbaram Naidu and published by CRC Press. This book was released on 2018-10-03 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of optimal control systems has grown and flourished since the 1960's. Many texts, written on varying levels of sophistication, have been published on the subject. Yet even those purportedly designed for beginners in the field are often riddled with complex theorems, and many treatments fail to include topics that are essential to a thorough grounding in the various aspects of and approaches to optimal control. Optimal Control Systems provides a comprehensive but accessible treatment of the subject with just the right degree of mathematical rigor to be complete but practical. It provides a solid bridge between "traditional" optimization using the calculus of variations and what is called "modern" optimal control. It also treats both continuous-time and discrete-time optimal control systems, giving students a firm grasp on both methods. Among this book's most outstanding features is a summary table that accompanies each topic or problem and includes a statement of the problem with a step-by-step solution. Students will also gain valuable experience in using industry-standard MATLAB and SIMULINK software, including the Control System and Symbolic Math Toolboxes. Diverse applications across fields from power engineering to medicine make a foundation in optimal control systems an essential part of an engineer's background. This clear, streamlined presentation is ideal for a graduate level course on control systems and as a quick reference for working engineers.
Author : C. T. Leondes
Publisher : Elsevier
ISBN 13 : 1483194604
Total Pages : 324 pages
Book Rating : 4.4/5 (831 download)
Download or read book Advances in Control Systems written by C. T. Leondes and published by Elsevier. This book was released on 2014-11-30 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Control Systems: Theory and Applications, Volume 2 provides information pertinent to the significant progress in the field of automatic control. This book presents different methods for generating Liapunov functions, which is important in the analysis of nonlinear systems. Organized into five chapters, this volume begins with an overview of the reduction of the important method of Liapunov to a practical working tool for the analysis of complex nonlinear systems. This text then discusses applications of the rather powerful method of dynamic programming to a complex class of problems. Other chapters consider the mathematical theory of optimal control, which is often confronted with the task of solving a system of first-order ordinary differential equations. This book discusses as well the input–output relationship of multivariable linear systems or plants. The final chapter deals with a powerful technique for design by analysis of nonlinear systems. This book is a valuable resource for mathematicians and engineers.
Author : Michael R. Caputo
Publisher : Cambridge University Press
ISBN 13 : 1107717639
Total Pages : 632 pages
Book Rating : 4.1/5 (77 download)
Download or read book Foundations of Dynamic Economic Analysis written by Michael R. Caputo and published by Cambridge University Press. This book was released on 2005-01-10 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Dynamic Economic Analysis presents a modern and thorough exposition of the fundamental mathematical formalism used to study optimal control theory, i.e., continuous time dynamic economic processes, and to interpret dynamic economic behavior. The style of presentation, with its continual emphasis on the economic interpretation of mathematics and models, distinguishes it from several other excellent texts on the subject. This approach is aided dramatically by introducing the dynamic envelope theorem and the method of comparative dynamics early in the exposition. Accordingly, motivated and economically revealing proofs of the transversality conditions come about by use of the dynamic envelope theorem. Furthermore, such sequencing of the material naturally leads to the development of the primal-dual method of comparative dynamics and dynamic duality theory, two modern approaches used to tease out the empirical content of optimal control models. The stylistic approach ultimately draws attention to the empirical richness of optimal control theory, a feature missing in virtually all other textbooks of this type.
Author : Donald E. Kirk
Publisher : Courier Corporation
ISBN 13 : 0486135071
Total Pages : 466 pages
Book Rating : 4.4/5 (861 download)
Download or read book Optimal Control Theory written by Donald E. Kirk and published by Courier Corporation. This book was released on 2012-04-26 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Masanao Aoki
Publisher : Elsevier
ISBN 13 : 0323140807
Total Pages : 368 pages
Book Rating : 4.3/5 (231 download)
Download or read book Dynamic Analysis Of Open Economies written by Masanao Aoki and published by Elsevier. This book was released on 2014-01-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Analysis of Open Economies focuses on the dynamic behavior of open economies in general, and dynamic interactions among several interconnected economies in particular. The emphasis is on the techniques of dynamic analysis and on the dynamic responses of models of open economies. This book is organized into three sections and consists of 15 chapters that examine how macroeconomic policy instruments affect open economies under flexible exchange rate regimes and the extent to which interdependence of national economies affects assessment of national policy effectiveness in a dynamic context. The behavior of open economies is analyzed not only at the instant of exogenous shocks or changes in instruments, but also after some time has elapsed since the last impacts. In considering the importance of dynamics, the book describes the behavior of a wide range of models and draws general conclusions. A set of techniques associated with variational analysis and perturbation theory is developed and systematically applied to models of open economies. This section also offers an analytical innovation for dealing with models of the world that are composed of several countries and demonstrates the usefulness of path controllability. The remaining chapters are devoted to models of small open economies and two- and multiple-country models of the world, paying particular attention to monetary policy and its distributional effects. Students and practitioners of applied mathematics and econometrics will find this book extremely helpful.
