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| Author | : Sean Holly |
| Publisher | : Cambridge University Press |
| Total Pages | : 258 |
| Release | : 1989-07-20 |
| Genre | : Business & Economics |
| ISBN | : 0521264448 |
An examination of how the rational expectations revolution and game theory have enhanced the understanding of how an economy functions.
| Author | : Yuanguo Zhu |
| Publisher | : |
| Total Pages | : 208 |
| Release | : 2019 |
| Genre | : MATHEMATICS |
| ISBN | : 9789811321351 |
This book introduces the theory and applications of uncertain optimal control, and establishes two types of models including expected value uncertain optimal control and optimistic value uncertain optimal control. These models, which have continuous-time forms and discrete-time forms, make use of dynamic programming. The uncertain optimal control theory relates to equations of optimality, uncertain bang-bang optimal control, optimal control with switched uncertain system, and optimal control for uncertain system with time-delay. Uncertain optimal control has applications in portfolio selection, engineering, and games. The book is a useful resource for researchers, engineers, and students in the fields of mathematics, cybernetics, operations research, industrial engineering, artificial intelligence, economics, and management science.
| Author | : B. L. Dixon |
| Publisher | : |
| Total Pages | : 19 |
| Release | : 1978 |
| Genre | : |
| ISBN | : |
| Author | : Donald S. Macko |
| Publisher | : |
| Total Pages | : 196 |
| Release | : 1962 |
| Genre | : |
| ISBN | : |
The success of so-called optimal control is investigated, by comparing the performance of an optimal control system to the performance of a control system considered as suboptimal, for non-trivial situations where uncertainties regarding the future behavior of the system or its environment exist. It is shown by analytical considerations that optimal control is successful only in limited and restricted circumstances and, more so, that the introduction of optimal control can deteriorate rather than improve the over-all system performance. Some criteria are suggested upon which a decision can be based regarding an optimal control mode. A number of numerical examples are presented in order to indicate the regions in uncertainty space where the optimal control is successful and the regions where the control considered as suboptimal is better than the so-called optimal control. (Author).
| Author | : Robert F. Stengel |
| Publisher | : Courier Corporation |
| Total Pages | : 716 |
| Release | : 1994-09-20 |
| Genre | : Mathematics |
| ISBN | : 9780486682006 |
"An excellent introduction to optimal control and estimation theory and its relationship with LQG design. . . . invaluable as a reference for those already familiar with the subject." — Automatica. This highly regarded graduate-level text provides a comprehensive introduction to optimal control theory for stochastic systems, emphasizing application of its basic concepts to real problems. The first two chapters introduce optimal control and review the mathematics of control and estimation. Chapter 3 addresses optimal control of systems that may be nonlinear and time-varying, but whose inputs and parameters are known without error. Chapter 4 of the book presents methods for estimating the dynamic states of a system that is driven by uncertain forces and is observed with random measurement error. Chapter 5 discusses the general problem of stochastic optimal control, and the concluding chapter covers linear time-invariant systems. Robert F. Stengel is Professor of Mechanical and Aerospace Engineering at Princeton University, where he directs the Topical Program on Robotics and Intelligent Systems and the Laboratory for Control and Automation. He was a principal designer of the Project Apollo Lunar Module control system. "An excellent teaching book with many examples and worked problems which would be ideal for self-study or for use in the classroom. . . . The book also has a practical orientation and would be of considerable use to people applying these techniques in practice." — Short Book Reviews, Publication of the International Statistical Institute. "An excellent book which guides the reader through most of the important concepts and techniques. . . . A useful book for students (and their teachers) and for those practicing engineers who require a comprehensive reference to the subject." — Library Reviews, The Royal Aeronautical Society.
| Author | : Gregory C. Chow |
| Publisher | : |
| Total Pages | : 54 |
| Release | : 1972 |
| Genre | : Econometrics |
| ISBN | : |
| Author | : W. E. Schmitendorf |
| Publisher | : |
| Total Pages | : 83 |
| Release | : 1978 |
| Genre | : |
| ISBN | : |
The research being performed under AFOSR Grant 76-2923 is concerned with optimally controlling a system to a specified target when disturbances or uncertainties enter the system. Two general problems in this area are being investigated. One problem is that of determining if there exists a control that assures that the system reaches a specified target set for all possible disturbances. If such a control exists, then the next problem is to determine a control which guarantees that the target is reached and it also optimal in the sense of minimizing a specified measure of the system's performance. Our research effort has been directed toward obtaining methods for answering the questions raised by these problems and thereby aiding in the design of controllers for uncertain systems. (Author).
| Author | : Lars Peter Hansen |
| Publisher | : Princeton University Press |
| Total Pages | : 453 |
| Release | : 2016-06-28 |
| Genre | : Business & Economics |
| ISBN | : 0691170975 |
The standard theory of decision making under uncertainty advises the decision maker to form a statistical model linking outcomes to decisions and then to choose the optimal distribution of outcomes. This assumes that the decision maker trusts the model completely. But what should a decision maker do if the model cannot be trusted? Lars Hansen and Thomas Sargent, two leading macroeconomists, push the field forward as they set about answering this question. They adapt robust control techniques and apply them to economics. By using this theory to let decision makers acknowledge misspecification in economic modeling, the authors develop applications to a variety of problems in dynamic macroeconomics. Technical, rigorous, and self-contained, this book will be useful for macroeconomists who seek to improve the robustness of decision-making processes.
| Author | : Shige Peng |
| Publisher | : Springer Nature |
| Total Pages | : 212 |
| Release | : 2019-09-09 |
| Genre | : Mathematics |
| ISBN | : 3662599031 |
This book is focused on the recent developments on problems of probability model uncertainty by using the notion of nonlinear expectations and, in particular, sublinear expectations. It provides a gentle coverage of the theory of nonlinear expectations and related stochastic analysis. Many notions and results, for example, G-normal distribution, G-Brownian motion, G-Martingale representation theorem, and related stochastic calculus are first introduced or obtained by the author. This book is based on Shige Peng’s lecture notes for a series of lectures given at summer schools and universities worldwide. It starts with basic definitions of nonlinear expectations and their relation to coherent measures of risk, law of large numbers and central limit theorems under nonlinear expectations, and develops into stochastic integral and stochastic calculus under G-expectations. It ends with recent research topic on G-Martingale representation theorem and G-stochastic integral for locally integrable processes. With exercises to practice at the end of each chapter, this book can be used as a graduate textbook for students in probability theory and mathematical finance. Each chapter also concludes with a section Notes and Comments, which gives history and further references on the material covered in that chapter. Researchers and graduate students interested in probability theory and mathematical finance will find this book very useful.
| Author | : Alexander Weinmann |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 699 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 3709167116 |
This coherent introduction to the theory and methods of robust control system design clarifies and unifies the presentation of significant derivations and proofs. The book contains a thorough treatment of important material of uncertainties and robust control otherwise scattered throughout the literature.
