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Optimal Control Expectations And Uncertainty
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Book Synopsis Optimal Control, Expectations and Uncertainty by : Sean Holly
Download or read book Optimal Control, Expectations and Uncertainty written by Sean Holly and published by Cambridge University Press. This book was released on 1989-07-20 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: An examination of how the rational expectations revolution and game theory have enhanced the understanding of how an economy functions.
Book Synopsis Uncertain Optimal Control by : Yuanguo Zhu
Download or read book Uncertain Optimal Control written by Yuanguo Zhu and published by . This book was released on 2019 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Uncertainty and Optimal Control by : Donald S. Macko
Download or read book Uncertainty and Optimal Control written by Donald S. Macko and published by . This book was released on 1962 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Effect of Uncertainty on Optimal Control Policies by : Gregory C. Chow
Download or read book Effect of Uncertainty on Optimal Control Policies written by Gregory C. Chow and published by . This book was released on 1972 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Effect of Uncertainty in the Objective Function on Optimal Control Policies by : B. L. Dixon
Download or read book Effect of Uncertainty in the Objective Function on Optimal Control Policies written by B. L. Dixon and published by . This book was released on 1978 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Control and Estimation by : Robert F. Stengel
Download or read book Optimal Control and Estimation written by Robert F. Stengel and published by Courier Corporation. This book was released on 1994-09-20 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Book Synopsis Optimal Control of Systems with Uncertainty by : W. E. Schmitendorf
Download or read book Optimal Control of Systems with Uncertainty written by W. E. Schmitendorf and published by . This book was released on 1978 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book Robustness written by Lars Peter Hansen and published by Princeton University Press. This book was released on 2016-06-28 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Nonlinear Expectations and Stochastic Calculus under Uncertainty by : Shige Peng
Download or read book Nonlinear Expectations and Stochastic Calculus under Uncertainty written by Shige Peng and published by Springer Nature. This book was released on 2019-09-09 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Uncertain Models and Robust Control by : Alexander Weinmann
Download or read book Uncertain Models and Robust Control written by Alexander Weinmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 699 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Robust Control Design Using H-8 Methods by : Ian R. Petersen
Download or read book Robust Control Design Using H-8 Methods written by Ian R. Petersen and published by Springer Science & Business Media. This book was released on 2000-09-22 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified collection of important, recent results for the design of robust controllers for uncertain systems. Most of the results presented are based on H? control theory, or its stochastic counterpart, risk sensitive control theory.Central to the philosophy of the book is the notion of an uncertain system. Uncertain systems are considered using several different uncertainty modeling schemes. These include norm bounded uncertainty, integral quadratic constraint (IQC) uncertainty and a number of stochastic uncertainty descriptions. In particular, the authors examine stochastic uncertain systems in which the uncertainty is outlined by a stochastic version of the IQC uncertainty description.For each class of uncertain systems covered in the book, corresponding robust control problems are defined and solutions discussed.
Book Synopsis Optimal Control Under Uncertainty: Theory and Numerical Solution with Low-rank Tensors by : Sebastian Raphael Garreis
Download or read book Optimal Control Under Uncertainty: Theory and Numerical Solution with Low-rank Tensors written by Sebastian Raphael Garreis and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Control Under Uncertainty: Theory and Numerical Solution with Low-Rank Tensors by : Sebastian Garreis
Download or read book Optimal Control Under Uncertainty: Theory and Numerical Solution with Low-Rank Tensors written by Sebastian Garreis and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modeling, Stochastic Control, Optimization, and Applications by : George Yin
Download or read book Modeling, Stochastic Control, Optimization, and Applications written by George Yin and published by Springer. This book was released on 2019-07-16 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects papers, based on invited talks given at the IMA workshop in Modeling, Stochastic Control, Optimization, and Related Applications, held at the Institute for Mathematics and Its Applications, University of Minnesota, during May and June, 2018. There were four week-long workshops during the conference. They are (1) stochastic control, computation methods, and applications, (2) queueing theory and networked systems, (3) ecological and biological applications, and (4) finance and economics applications. For broader impacts, researchers from different fields covering both theoretically oriented and application intensive areas were invited to participate in the conference. It brought together researchers from multi-disciplinary communities in applied mathematics, applied probability, engineering, biology, ecology, and networked science, to review, and substantially update most recent progress. As an archive, this volume presents some of the highlights of the workshops, and collect papers covering a broad range of topics.
Book Synopsis Optimal Control of Systems with Uncertainty by : W. E. Schmitendorf
Download or read book Optimal Control of Systems with Uncertainty written by W. E. Schmitendorf and published by . This book was released on 1976 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: This investigation of static minmax problems has produced necessary and sufficient conditions which can be used to solve such problems. This has also led to a clearer understanding of the nature of minmax problems for dynamic problems with uncertainty in the state equations or in the initial conditions, sufficient conditions were derived which the minmax control must satisfy and, using these conditions, constructive techniques were developed which can be used to generate minmax solutions. These methods are now available for solving minmax problems and can be used to analyze problems where there is uncertainty in the model or in the measurement of the initial state. These methods will aid in the design of systems where exact models of the systems are not available or where exact measurements of the state of the system cannot be obtainted. (Author).
Book Synopsis Control Theory Methods in Economics by : Jati Sengupta
Download or read book Control Theory Methods in Economics written by Jati Sengupta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control theory methods in economics have historically developed over three phases. The first involved basically the feedback control rules in a deterministic framework which were applied in macrodynamic models for analyzing stabilization policies. The second phase raised the issues of various types of inconsistencies in deterministic optimal control models due to changing information and other aspects of stochasticity. Rational expectations models have been extensively used in this plan to resolve some of the inconsistency problems. The third phase has recently focused on the various aspects of adaptive control. where stochasticity and information adaptivity are introduced in diverse ways e.g .• risk adjustment and risk sensitivity of optimal control, recursive updating rules via Kalman filtering and weighted recursive least squares and variable structure control methods in nonlinear framework. Problems of efficient econometric estimation of optimal control models have now acquired significant importance. This monograph provides an integrated view of control theory methods, synthesizing the three phases from feedback control to stochastic control and from stochastic control to adaptive control. Aspects of econometric estimation are strongly emphasized here, since these are very important in empirical applications in economics.
Book Synopsis Quantitative Economic Policies and Interactive Planning by : Andrew J. Hughes Hallett
Download or read book Quantitative Economic Policies and Interactive Planning written by Andrew J. Hughes Hallett and published by CUP Archive. This book was released on 1983-01-20 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
