Finite Approximations in Discrete-Time Stochastic Control

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Author :
Publisher : Birkhäuser
ISBN 13 : 3319790331
Total Pages : 196 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Finite Approximations in Discrete-Time Stochastic Control by : Naci Saldi

Download or read book Finite Approximations in Discrete-Time Stochastic Control written by Naci Saldi and published by Birkhäuser. This book was released on 2018-05-11 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a unified form, this monograph presents fundamental results on the approximation of centralized and decentralized stochastic control problems, with uncountable state, measurement, and action spaces. It demonstrates how quantization provides a system-independent and constructive method for the reduction of a system with Borel spaces to one with finite state, measurement, and action spaces. In addition to this constructive view, the book considers both the information transmission approach for discretization of actions, and the computational approach for discretization of states and actions. Part I of the text discusses Markov decision processes and their finite-state or finite-action approximations, while Part II builds from there to finite approximations in decentralized stochastic control problems. This volume is perfect for researchers and graduate students interested in stochastic controls. With the tools presented, readers will be able to establish the convergence of approximation models to original models and the methods are general enough that researchers can build corresponding approximation results, typically with no additional assumptions.

Backward Stochastic Differential Equations

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Author :
Publisher : CRC Press
ISBN 13 : 9780582307339
Total Pages : 236 pages
Book Rating : 4.3/5 (73 download)

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Book Synopsis Backward Stochastic Differential Equations by : N El Karoui

Download or read book Backward Stochastic Differential Equations written by N El Karoui and published by CRC Press. This book was released on 1997-01-17 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the texts of seminars presented during the years 1995 and 1996 at the Université Paris VI and is the first attempt to present a survey on this subject. Starting from the classical conditions for existence and unicity of a solution in the most simple case-which requires more than basic stochartic calculus-several refinements on the hypotheses are introduced to obtain more general results.

Neural Approximations for Optimal Control and Decision

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Publisher : Springer Nature
ISBN 13 : 3030296938
Total Pages : 532 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Neural Approximations for Optimal Control and Decision by : Riccardo Zoppoli

Download or read book Neural Approximations for Optimal Control and Decision written by Riccardo Zoppoli and published by Springer Nature. This book was released on 2019-12-17 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modern Trends in Controlled Stochastic Processes:

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Publisher : Springer Nature
ISBN 13 : 3030769283
Total Pages : 356 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Modern Trends in Controlled Stochastic Processes: by : Alexey Piunovskiy

Download or read book Modern Trends in Controlled Stochastic Processes: written by Alexey Piunovskiy and published by Springer Nature. This book was released on 2021-06-04 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents state-of-the-art solution methods and applications of stochastic optimal control. It is a collection of extended papers discussed at the traditional Liverpool workshop on controlled stochastic processes with participants from both the east and the west. New problems are formulated, and progresses of ongoing research are reported. Topics covered in this book include theoretical results and numerical methods for Markov and semi-Markov decision processes, optimal stopping of Markov processes, stochastic games, problems with partial information, optimal filtering, robust control, Q-learning, and self-organizing algorithms. Real-life case studies and applications, e.g., queueing systems, forest management, control of water resources, marketing science, and healthcare, are presented. Scientific researchers and postgraduate students interested in stochastic optimal control,- as well as practitioners will find this book appealing and a valuable reference. ​

From Shortest Paths to Reinforcement Learning

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Publisher : Springer Nature
ISBN 13 : 3030618676
Total Pages : 216 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis From Shortest Paths to Reinforcement Learning by : Paolo Brandimarte

Download or read book From Shortest Paths to Reinforcement Learning written by Paolo Brandimarte and published by Springer Nature. This book was released on 2021-01-11 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic programming (DP) has a relevant history as a powerful and flexible optimization principle, but has a bad reputation as a computationally impractical tool. This book fills a gap between the statement of DP principles and their actual software implementation. Using MATLAB throughout, this tutorial gently gets the reader acquainted with DP and its potential applications, offering the possibility of actual experimentation and hands-on experience. The book assumes basic familiarity with probability and optimization, and is suitable to both practitioners and graduate students in engineering, applied mathematics, management, finance and economics.

Stochastic Teams, Games, and Control under Information Constraints

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Publisher : Springer Nature
ISBN 13 : 3031540719
Total Pages : 935 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Stochastic Teams, Games, and Control under Information Constraints by : Serdar Yüksel

Download or read book Stochastic Teams, Games, and Control under Information Constraints written by Serdar Yüksel and published by Springer Nature. This book was released on with total page 935 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Control and System Theory of Discrete-Time Stochastic Systems

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Publisher : Springer Nature
ISBN 13 : 3030669521
Total Pages : 940 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Control and System Theory of Discrete-Time Stochastic Systems by : Jan H. van Schuppen

Download or read book Control and System Theory of Discrete-Time Stochastic Systems written by Jan H. van Schuppen and published by Springer Nature. This book was released on 2021-08-02 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book helps students, researchers, and practicing engineers to understand the theoretical framework of control and system theory for discrete-time stochastic systems so that they can then apply its principles to their own stochastic control systems and to the solution of control, filtering, and realization problems for such systems. Applications of the theory in the book include the control of ships, shock absorbers, traffic and communications networks, and power systems with fluctuating power flows. The focus of the book is a stochastic control system defined for a spectrum of probability distributions including Bernoulli, finite, Poisson, beta, gamma, and Gaussian distributions. The concepts of observability and controllability of a stochastic control system are defined and characterized. Each output process considered is, with respect to conditions, represented by a stochastic system called a stochastic realization. The existence of a control law is related to stochastic controllability while the existence of a filter system is related to stochastic observability. Stochastic control with partial observations is based on the existence of a stochastic realization of the filtration of the observed process.​

Modeling, Stochastic Control, Optimization, and Applications

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Publisher : Springer
ISBN 13 : 3030254984
Total Pages : 593 pages
Book Rating : 4.0/5 (32 download)

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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 593 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.

Privacy in Dynamical Systems

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Publisher : Springer Nature
ISBN 13 : 9811504938
Total Pages : 290 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Privacy in Dynamical Systems by : Farhad Farokhi

Download or read book Privacy in Dynamical Systems written by Farhad Farokhi and published by Springer Nature. This book was released on 2019-11-21 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses privacy in dynamical systems, with applications to smart metering, traffic estimation, and building management. In the first part, the book explores statistical methods for privacy preservation from the areas of differential privacy and information-theoretic privacy (e.g., using privacy metrics motivated by mutual information, relative entropy, and Fisher information) with provable guarantees. In the second part, it investigates the use of homomorphic encryption for the implementation of control laws over encrypted numbers to support the development of fully secure remote estimation and control. Chiefly intended for graduate students and researchers, the book provides an essential overview of the latest developments in privacy-aware design for dynamical systems.

Managerial Planning

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Publisher : Routledge
ISBN 13 : 1351243209
Total Pages : 410 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Managerial Planning by : Charles S. Tapiero

Download or read book Managerial Planning written by Charles S. Tapiero and published by Routledge. This book was released on 2018-04-17 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1977. Management is a dynamic process reflected in three essential functions: management of time, change and people. The book provides a bridging gap between quantitative theories imbedded in the systems approach and managerial decision-making over time and under risk. The conventional wisdom that management is a dynamic process is rendered operational. This title will be of interest to students of business studies and management.

Stochastic Control of Hereditary Systems and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 038775816X
Total Pages : 418 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Stochastic Control of Hereditary Systems and Applications by : Mou-Hsiung Chang

Download or read book Stochastic Control of Hereditary Systems and Applications written by Mou-Hsiung Chang and published by Springer Science & Business Media. This book was released on 2008-01-03 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph develops the Hamilton-Jacobi-Bellman theory via dynamic programming principle for a class of optimal control problems for stochastic hereditary differential equations (SHDEs) driven by a standard Brownian motion and with a bounded or an infinite but fading memory. These equations represent a class of stochastic infinite-dimensional systems that become increasingly important and have wide range of applications in physics, chemistry, biology, engineering and economics/finance. This monograph can be used as a reference for those who have special interest in optimal control theory and applications of stochastic hereditary systems.

Probability Methods for Approximations in Stochastic Control and for Elliptic Equations

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Publisher : Academic Press
ISBN 13 : 0080956386
Total Pages : 263 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Probability Methods for Approximations in Stochastic Control and for Elliptic Equations by : Kushner

Download or read book Probability Methods for Approximations in Stochastic Control and for Elliptic Equations written by Kushner and published by Academic Press. This book was released on 1977-04-14 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability Methods for Approximations in Stochastic Control and for Elliptic Equations

Controlled Markov Processes and Viscosity Solutions

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Publisher : Springer Science & Business Media
ISBN 13 : 0387310711
Total Pages : 436 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Controlled Markov Processes and Viscosity Solutions by : Wendell H. Fleming

Download or read book Controlled Markov Processes and Viscosity Solutions written by Wendell H. Fleming and published by Springer Science & Business Media. This book was released on 2006-02-04 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to optimal stochastic control for continuous time Markov processes and the theory of viscosity solutions. It covers dynamic programming for deterministic optimal control problems, as well as to the corresponding theory of viscosity solutions. New chapters in this second edition introduce the role of stochastic optimal control in portfolio optimization and in pricing derivatives in incomplete markets and two-controller, zero-sum differential games.

Control of Uncertain Systems: Modelling, Approximation, and Design

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Author :
Publisher : Taylor & Francis
ISBN 13 : 9783540317548
Total Pages : 452 pages
Book Rating : 4.3/5 (175 download)

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Book Synopsis Control of Uncertain Systems: Modelling, Approximation, and Design by : Bruce A. Francis

Download or read book Control of Uncertain Systems: Modelling, Approximation, and Design written by Bruce A. Francis and published by Taylor & Francis. This book was released on 2006-03-07 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift contains a collection of articles by friends, co-authors, colleagues, and former Ph.D. students of Keith Glover, Professor of Engineering at the University of Cambridge, on the occasion of his sixtieth birthday. Professor Glover's scientific work spans a wide variety of topics, the main themes being system identification, model reduction and approximation, robust controller synthesis, and control of aircraft and engines. The articles in this volume are a tribute to Professor Glover's seminal work in these areas.

Optimization, Control, and Applications of Stochastic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 0817683372
Total Pages : 331 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Optimization, Control, and Applications of Stochastic Systems by : Daniel Hernández-Hernández

Download or read book Optimization, Control, and Applications of Stochastic Systems written by Daniel Hernández-Hernández and published by Springer Science & Business Media. This book was released on 2012-08-15 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a general overview of discrete- and continuous-time Markov control processes and stochastic games, along with a look at the range of applications of stochastic control and some of its recent theoretical developments. These topics include various aspects of dynamic programming, approximation algorithms, and infinite-dimensional linear programming. In all, the work comprises 18 carefully selected papers written by experts in their respective fields. Optimization, Control, and Applications of Stochastic Systems will be a valuable resource for all practitioners, researchers, and professionals in applied mathematics and operations research who work in the areas of stochastic control, mathematical finance, queueing theory, and inventory systems. It may also serve as a supplemental text for graduate courses in optimal control and dynamic games.

Mathematical Modelling and Numerical Methods in Finance

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Publisher : Elsevier
ISBN 13 : 0080931006
Total Pages : 743 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Mathematical Modelling and Numerical Methods in Finance by : Alain Bensoussan

Download or read book Mathematical Modelling and Numerical Methods in Finance written by Alain Bensoussan and published by Elsevier. This book was released on 2009-06-16 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical finance is a prolific scientific domain in which there exists a particular characteristic of developing both advanced theories and practical techniques simultaneously. Mathematical Modelling and Numerical Methods in Finance addresses the three most important aspects in the field: mathematical models, computational methods, and applications, and provides a solid overview of major new ideas and results in the three domains. - Coverage of all aspects of quantitative finance including models, computational methods and applications - Provides an overview of new ideas and results - Contributors are leaders of the field

Numerical Methods for Stochastic Control Problems in Continuous Time

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Publisher : Springer Science & Business Media
ISBN 13 : 146130007X
Total Pages : 480 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Numerical Methods for Stochastic Control Problems in Continuous Time by : Harold Kushner

Download or read book Numerical Methods for Stochastic Control Problems in Continuous Time written by Harold Kushner and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic control is a very active area of research. This monograph, written by two leading authorities in the field, has been updated to reflect the latest developments. It covers effective numerical methods for stochastic control problems in continuous time on two levels, that of practice and that of mathematical development. It is broadly accessible for graduate students and researchers.