Approximating Solutions In Infinite Horizon Optimization
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Approximating Solutions In Infinite Horizon Optimization
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Author : William Paul Cross
language : en
Publisher:
Release Date : 1995
Approximating Solutions In Infinite Horizon Optimization written by William Paul Cross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Turnpike Phenomenon And Infinite Horizon Optimal Control
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Author : Alexander J. Zaslavski
language : en
Publisher: Springer
Release Date : 2014-09-04
Turnpike Phenomenon And Infinite Horizon Optimal Control written by Alexander J. Zaslavski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-04 with Mathematics categories.
This book is devoted to the study of the turnpike phenomenon and describes the existence of solutions for a large variety of infinite horizon optimal control classes of problems. Chapter 1 provides introductory material on turnpike properties. Chapter 2 studies the turnpike phenomenon for discrete-time optimal control problems. The turnpike properties of autonomous problems with extended-value integrands are studied in Chapter 3. Chapter 4 focuses on large classes of infinite horizon optimal control problems without convexity (concavity) assumptions. In Chapter 5, the turnpike results for a class of dynamic discrete-time two-player zero-sum game are proven. This thorough exposition will be very useful for mathematicians working in the fields of optimal control, the calculus of variations, applied functional analysis and infinite horizon optimization. It may also be used as a primary text in a graduate course in optimal control or as supplementary text for a variety of courses in other disciplines. Researchers in other fields such as economics and game theory, where turnpike properties are well known, will also find this Work valuable.
Neural Approximations For Optimal Control And Decision
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Author : Riccardo Zoppoli
language : en
Publisher: Springer Nature
Release Date : 2019-12-17
Neural Approximations For Optimal Control And Decision written by Riccardo Zoppoli and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-17 with Technology & Engineering categories.
Neural Approximations for Optimal Control and Decision provides a comprehensive methodology for the approximate solution of functional optimization problems using neural networks and other nonlinear approximators where the use of traditional optimal control tools is prohibited by complicating factors like non-Gaussian noise, strong nonlinearities, large dimension of state and control vectors, etc. Features of the text include: • a general functional optimization framework; • thorough illustration of recent theoretical insights into the approximate solutions of complex functional optimization problems; • comparison of classical and neural-network based methods of approximate solution; • bounds to the errors of approximate solutions; • solution algorithms for optimal control and decision in deterministic or stochastic environments with perfect or imperfect state measurements over a finite or infinite time horizon and with one decision maker or several; • applications of current interest: routing in communications networks, traffic control, water resource management, etc.; and • numerous, numerically detailed examples. The authors’ diverse backgrounds in systems and control theory, approximation theory, machine learning, and operations research lend the book a range of expertise and subject matter appealing to academics and graduate students in any of those disciplines together with computer science and other areas of engineering.
Optimal Control Problems Arising In Forest Management
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Author : Alexander J. Zaslavski
language : en
Publisher: Springer
Release Date : 2019-08-16
Optimal Control Problems Arising In Forest Management written by Alexander J. Zaslavski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-16 with Mathematics categories.
This book is devoted to the study of optimal control problems arising in forest management, an important and fascinating topic in mathematical economics studied by many researchers over the years. The volume studies the forest management problem by analyzing a class of optimal control problems that contains it and showing the existence of optimal solutions over infinite horizon. It also studies the structure of approximate solutions on finite intervals and their turnpike properties, as well as the stability of the turnpike phenomenon and the structure of approximate solutions on finite intervals in the regions close to the end points. The book is intended for mathematicians interested in the optimization theory, optimal control and their applications to the economic theory.
Approximating Equilibria For Infinite Horizon Dynamic Games
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Author : Freddie García
language : en
Publisher:
Release Date : 1997
Approximating Equilibria For Infinite Horizon Dynamic Games written by Freddie García and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Approximation And Optimization In The Caribbean Ii
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Author :
language : en
Publisher: Peter Lang Publishing
Release Date : 1995
Approximation And Optimization In The Caribbean Ii written by and has been published by Peter Lang Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
The volume contains original articles and survey papers on approximation theory (e.g. approximation by polynomial and rational functions, approximation by operators, orthogonal polynomials, meromorphic functions), optimization (e.g. integer, nonlinear, quadratic, multi-objective, fractional, semi-infinite), control theory (e.g. singular control problems), equations and inequalities (e.g. complexity), mathematical economy (e.g. core theory, infinite horizon economics), and shows the relations among these topics.
Approximation And Solution Schemes For Stochastic Dynamic Optimization Problems
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Author : Lisa Anne Korf
language : en
Publisher:
Release Date : 1998
Approximation And Solution Schemes For Stochastic Dynamic Optimization Problems written by Lisa Anne Korf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Optimization
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Author : Van Hien Nguyen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Optimization written by Van Hien Nguyen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
The 9th Belgian-French-German Conference on Optimization has been held in Namur (Belgium) on September 7-11, 1998. This volume is a collection of papers presented at this Conference. Originally, this Conference was a French-German Conference but this year, in accordance with the organizers' wishes, a third country, Belgium, has joined the founding members of the Conference. Hence the name: Belgian French-German Conference on Optimization. Since the very beginning, the purpose of these Conferences has been to bring together researchers working in the area of Optimization and partic ularly to encourage young researchers to present their work. Most of the participants come from the organizing countries. However the general ten dancy is to invite outside researchers to attend the meeting. So this year, among the 101 participants at this Conference, twenty researchers came from other countries. The general theme of the Conference is everything that concerns the area of Optimization without specification of particular topics. So theoretical as pects of Optimization, in addition to applications and algorithms of Opti mization, will be developed. However, and this point was very important for the organizers, the Conference must retain its convivial character. No more than two parallel sessions are organized. This would allow useful contacts between researchers to be promoted. The editors express their sincere thanks to all those who took part in this Conference. Their invaluable discussions have made this volume possible.
Finite Horizon H And Related Control Problems
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Author : M.Bala Subrahmanyam
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Finite Horizon H And Related Control Problems written by M.Bala Subrahmanyam and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
HIS book presents a generalized state-space theory for the analysis T and synthesis of finite horizon suboptimal Hoo controllers. We de rive expressions for a suboptimal controller in a general setting and propose an approximate solution to the Hoo performance robustness problem. The material in the book is taken from a collection of research papers written by the author. The book is organized as follows. Chapter 1 treats nonlinear optimal control problems in which the cost functional is of the form of a quotient or a product of powers of definite integrals. The problems considered in Chap ter 1 are very general, and the results are useful for the computation of the actual performance of an Hoo suboptimal controller. Such an application is given in Chapters 4 and 5. Chapter 2 gives a criterion for the evaluation of the infimal Hoc norm in the finite horizon case. Also, a differential equation is derived for the achievable performance as the final time is varied. A general suboptimal control problem is then posed, and an expression for a subopti mal Hoo state feedback controller is derived. Chapter 3 develops expressions for a suboptimal Hoo output feedback controller in a very general case via the solution of two dynamic Riccati equations. Assuming the adequacy of linear expressions, Chapter 4 gives an iterative procedure for the synthesis of a suboptimal Hoo controller that yields the required performance even under parameter variations.
Optimization For Learning And Control
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Author : Anders Hansson
language : en
Publisher: John Wiley & Sons
Release Date : 2023-06-20
Optimization For Learning And Control written by Anders Hansson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-20 with Technology & Engineering categories.
Optimization for Learning and Control Comprehensive resource providing a masters’ level introduction to optimization theory and algorithms for learning and control Optimization for Learning and Control describes how optimization is used in these domains, giving a thorough introduction to both unsupervised learning, supervised learning, and reinforcement learning, with an emphasis on optimization methods for large-scale learning and control problems. Several applications areas are also discussed, including signal processing, system identification, optimal control, and machine learning. Today, most of the material on the optimization aspects of deep learning that is accessible for students at a Masters’ level is focused on surface-level computer programming; deeper knowledge about the optimization methods and the trade-offs that are behind these methods is not provided. The objective of this book is to make this scattered knowledge, currently mainly available in publications in academic journals, accessible for Masters’ students in a coherent way. The focus is on basic algorithmic principles and trade-offs. Optimization for Learning and Control covers sample topics such as: Optimization theory and optimization methods, covering classes of optimization problems like least squares problems, quadratic problems, conic optimization problems and rank optimization. First-order methods, second-order methods, variable metric methods, and methods for nonlinear least squares problems. Stochastic optimization methods, augmented Lagrangian methods, interior-point methods, and conic optimization methods. Dynamic programming for solving optimal control problems and its generalization to reinforcement learning. How optimization theory is used to develop theory and tools of statistics and learning, e.g., the maximum likelihood method, expectation maximization, k-means clustering, and support vector machines. How calculus of variations is used in optimal control and for deriving the family of exponential distributions. Optimization for Learning and Control is an ideal resource on the subject for scientists and engineers learning about which optimization methods are useful for learning and control problems; the text will also appeal to industry professionals using machine learning for different practical applications.