Описание: This second edition of the popular text by John Betts incorporates lots of new material while maintaining the concise and focused presentation of the original edition. The book describes how sparse optimization methods can be combined with discretization techniques for differential-algebraic equations and used to solve optimal control and estimation problems. The interaction between optimization and integration is emphasized throughout the book. The relevant background in nonlinear programming methods that exploit sparse matrix technology is presented, along with description of discretization techniques for solving differential-algebraic equations. It will appeal to users of optimal control working in fields such as the aerospace industry, chemical process control, mathematical biology, robotics and multibody simulation, and engineering. It is also suitable for graduate courses on optimal control methods. The SOCS software referenced within the book can be licensed from Boeing by readers interested in receiving the code and training materials for further investigation.
Автор: Osborne Название: An Introduction to Game Theory ISBN: 0195322487 ISBN-13(EAN): 9780195322484 Издательство: Oxford Academ Рейтинг: Цена: 5723 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Game-theoretic reasoning pervades economic theory and is used widely in other social and behavioural sciences. An Introduction to Game Theory International Edition, by Martin J. Osborne, presents the main principles of game theory and shows how they can be used to understand economics, social, political, and biological phenomena. The book introduces in an accessible manner the main ideas behind the theory rather than their mathematical expression. All concepts are defined precisely, and logical reasoning is used throughout. The book requires an understanding of basic mathematics but assumes no specific knowledge of economics, political science, or other social or behavioural sciences. Coverage includes the fundamental concepts of strategic games, extensive games with perfect information, and coalitional games; the more advanced subjects of Bayesian games and extensive games with imperfect information; and the topics of repeated games, bargaining theory, evolutionary equilibrium, rationalizability, and maxminimization. The book offers a wide variety of illustrations from the social and behavioural sciences. Each topic features examples that highlight theoretical points and illustrations that demonstrate how the theory may be used.
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.
Описание: This is quite possibly the first book on practical methods that combines nonlinear optimization, mathematical control theory, and numerical solution of ordinary differential or differential-algebraic equations to successfully solve optimal control problems. The focus of the book is on practical methods, i.e., methods that the author has found to actually work. Everything described in the book has been implemented in production software and used to solve real problems.
The author's general discussion of the topic maintains a focused and concise presentation. Using modern computational methods based on nonlinear programming algorithms, he introduces the basic material necessary to solve an optimal control problem. There are two major parts of a successful optimal control solution technique. The first part is the optimization method. The second part is the differential equation method. Betts's goal is to suggest that methods used to solve differential equations and optimize the functions are intimately related.
Автор: Grass Название: Optimal Control of Nonlinear Processes ISBN: 354077646X ISBN-13(EAN): 9783540776468 Издательство: Springer Рейтинг: Цена: 19542 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume is designed to be a lively introduction to the mathematics of this rapidly advancing subject, and a bridge to a number of hot topics in the economics of crime for current scholars.
Автор: Arnautu V., NeittaanmГ¤ki Pekka Название: Optimal Control from Theory to Computer Programs ISBN: 1402017715 ISBN-13(EAN): 9781402017711 Издательство: Springer Рейтинг: Цена: 15427 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The aim of this book is to present the mathematical theory and the know-how to make computer programs for the numerical approximation of Optimal Control of PDE's. The computer programs are presented in a straightforward generic language. As a consequence they are well structured, clearly explained and can be translated easily into any high level programming language. Applications and corresponding numerical tests are also given and discussed. To our knowledge, this is the first book to put together mathematics and computer programs for Optimal Control in order to bridge the gap between mathematical abstract algorithms and concrete numerical ones. The text is addressed to students and graduates in Mathematics, Mechanics, Applied Mathematics, Numerical Software, Information Technology and Engineering. It can also be used for Master and Ph.D. programs.
Описание: Sethi and Thompson have provided management science and economics communities with a thoroughly revised edition of their classic text on Optimal Control Theory. Central to the book is its extraordinarily wide range of optimal control theory applications. Chapter 5 covers finance; Chapter 6 considers production and inventory problems; Chapter 7 covers marketing problems; Chapter 9 treats machine maintenance and replacement; Chapter 10 deals with problems of optimal consumption of natural resources (renewable or exhaustible); and Chapter 11 discusses a number of applications of control theory to economics. The book has been successfully used as a professional reference tool and as a graduate course book. Its usefulness lies in its emphasis on building applied models of realistic problems faced in a variety of business management situations. The new edition has been completely refined with careful attention to the text and graphic material presentation. In Chapter 3, models have been added that use mixed (control and state) constraints, current value formulations, and terminal conditions. Chapter 4 now covers more advanced material on pure state constraints as they relate to mixed constraints. Each of these chapters contains new results that were not available when the first edition was published. 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.
Автор: Sethi Название: Optimal Control Theory ISBN: 0792386086 ISBN-13(EAN): 9780792386087 Издательство: Springer Рейтинг: Цена: 17297 р. Наличие на складе: Поставка под заказ.
Описание: Optimal control methods are used to determine the best ways to control a dynamic system. This book applies theoretical work to business management problems developed from the authors` research and classroom instruction. It also includes chapters that cover topics such as: finance, production and inventory problems, and marketing problems.
Описание: This text aims to provide practical hints to help practising and trainee supervisors develop and enhance the skills they need to be successful in their work. It covers areas such as: supervisory alliance, fostering the supervisory relationship and protecting the client and the counsellor. The purpose of this book is to introduce optimal control theory for infinite dimensional systems. The authors present the existence theory for optimal control problems. Some applications are also included in this volume.
Описание: Offers an introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. This book traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter.
Описание: This book demonstrates the structural characteristics of the optimal control policies in various stochastic supply chains and to shows how to make use of these characteristics to construct easy-to-operate sub-optimal policies.
Описание: Thepastthree decadeshaveseenrapiddevelopmentin the areaofmodelpred- tive control with respect to both theoretical and application aspects. This is one of the reasons why nonlinear model predictive control (NMPC) has - joyed signi?cant attention over the past years,with a number of recent advances on both the theoretical and application frontier.
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