Risk-Sensitive Optimal Control

Risk-Sensitive Optimal Control

Author: Peter Whittle

Publisher:

Published: 1990-05-11

Total Pages: 266

ISBN-13:

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The two major themes of this book are risk-sensitive control and path-integral or Hamiltonian formulation. It covers risk-sensitive certainty-equivalence principles, the consequent extension of the conventional LQG treatment and the path-integral formulation.


Controlled Markov Processes and Viscosity Solutions

Controlled Markov Processes and Viscosity Solutions

Author: Wendell H. Fleming

Publisher: Springer Science & Business Media

Published: 2006-02-04

Total Pages: 436

ISBN-13: 0387310711

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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.


Stochastic Theory and Adaptive Control

Stochastic Theory and Adaptive Control

Author: T. E. Duncan

Publisher: Springer

Published: 1992

Total Pages: 584

ISBN-13:

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This workshop on stochastic theory and adaptive control assembled many of the leading researchers on stochastic control and stochastic adaptive control to increase scientific exchange and cooperative research between these two subfields of stochastic analysis. The papers included in the proceedings include survey and research. They describe both theoretical results and applications of adaptive control. There are theoretical results in identification, filtering, control, adaptive control and various other related topics. Some applications to manufacturing systems, queues, networks, medicine and other topics are gien.


Robust Control Design Using H-∞ Methods

Robust Control Design Using H-∞ Methods

Author: Ian R. Petersen

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 458

ISBN-13: 1447104471

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This is a unified collection of important recent results for the design of robust controllers for uncertain systems, primarily based on H8 control theory or its stochastic counterpart, risk sensitive control theory. Two practical applications are used to illustrate the methods throughout.


Risk-sensitive Investment Management

Risk-sensitive Investment Management

Author: Mark H A Davis

Publisher: World Scientific

Published: 2014-07-21

Total Pages: 414

ISBN-13: 9814578061

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Over the last two decades, risk-sensitive control has evolved into an innovative and successful framework for solving dynamically a wide range of practical investment management problems.This book shows how to use risk-sensitive investment management to manage portfolios against an investment benchmark, with constraints, and with assets and liabilities. It also addresses model implementation issues in parameter estimation and numerical methods. Most importantly, it shows how to integrate jump-diffusion processes which are crucial to model market crashes.With its emphasis on the interconnection between mathematical techniques and real-world problems, this book will be of interest to both academic researchers and money managers. Risk-sensitive investment management links stochastic control and portfolio management. Because of its distinct emphasis on integrating advanced theoretical concepts into practical dynamic investment management tools, this book stands out from the existing literature in fundamental ways. It goes beyond mainstream research in portfolio management in a traditional static setting. The theoretical developments build on contemporary research in stochastic control theory, but are informed throughout by the need to construct an effective and practical framework for dynamic portfolio management.This book fills a gap in the literature by connecting mathematical techniques with the real world of investment management. Readers seeking to solve key problems such as benchmarked asset management or asset and liability management will certainly find it useful.


Optimal Control and Partial Differential Equations

Optimal Control and Partial Differential Equations

Author: José Luis Menaldi

Publisher: IOS Press

Published: 2001

Total Pages: 632

ISBN-13: 9781586030964

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This volume contains more than sixty invited papers of international wellknown scientists in the fields where Alain Bensoussan's contributions have been particularly important: filtering and control of stochastic systems, variationnal problems, applications to economy and finance, numerical analysis... In particular, the extended texts of the lectures of Professors Jens Frehse, Hitashi Ishii, Jacques-Louis Lions, Sanjoy Mitter, Umberto Mosco, Bernt Oksendal, George Papanicolaou, A. Shiryaev, given in the Conference held in Paris on December 4th, 2000 in honor of Professor Alain Bensoussan are included.


Systems Modelling and Optimization Proceedings of the 18th IFIP TC7 Conference

Systems Modelling and Optimization Proceedings of the 18th IFIP TC7 Conference

Author: Michael P. Polis

Publisher: CRC Press

Published: 1999-02-02

Total Pages: 534

ISBN-13: 9780849306075

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Top researchers in optimization and control from around the world gathered in Detroit for the 18th annual IFIP TC7 Conference on Systems Modelling and Optimization held in July 1997. The papers offered in this volume were selected from among the 250 plenary, invited, and contributed works presented at the conference. The editors chose these papers to represent the myriad and diverse range of topics within the field -in theory and applications-and to disseminate important new results. The editors have organized the book into seven sections: Distributed Parameter Systems Modelling Optimal Control and Nonsmoooth Analysis Automotive Optimization and Operations Research Applications · Reliability Each section contains important advances in theoretical development of optimization and control, new results, and discussions of applications. Treatment of numerous and wide- ranging applications-from turbulent flows, European option pricing, and storage location, to wear processes, passive fire protection, and robotics-make this resource important for academic and industrial researchers working in a variety of areas in systems engineering and applied mathematics.


H∞-Optimal Control and Related Minimax Design Problems

H∞-Optimal Control and Related Minimax Design Problems

Author: Tamer Başar

Publisher: Springer Science & Business Media

Published: 2009-05-21

Total Pages: 417

ISBN-13: 0817647570

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This book is devoted to one of the fastest developing fields in modern control theory - the so-called H-infinity optimal control theory. The book can be used for a second or third year graduate level course in the subject, and researchers working in the area will find the book useful as a standard reference. Based mostly on recent work of the authors, the book is written on a good mathematical level. Many results in it are original, interesting, and inspirational. The topic is central to modern control and hence this definitive book is highly recommended to anyone who wishes to catch up with important theoretical developments in applied mathematics and control.


Modeling and Control of Economic Systems 2001

Modeling and Control of Economic Systems 2001

Author: R. Neck

Publisher: Elsevier

Published: 2003-05-21

Total Pages: 443

ISBN-13: 008053659X

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This volume contains papers presented at the IFAC symposium on Modeling and control of Economic Systems (SME 2001), which was held at the university of Klagenfurt, Austria. The symposium brought together scientists and users to explore current theoretical developments of modeling techniques for economic systems. It contains a section of plenary, invited and contributed papers presented at the SME 2001 symposium. The papers presented in this volume reflect advances both in methodology and in applications in the area of modeling and control of economic systems.


Hidden Markov Models

Hidden Markov Models

Author: Robert J Elliott

Publisher: Springer Science & Business Media

Published: 2008-09-27

Total Pages: 374

ISBN-13: 0387848541

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As more applications are found, interest in Hidden Markov Models continues to grow. Following comments and feedback from colleagues, students and other working with Hidden Markov Models the corrected 3rd printing of this volume contains clarifications, improvements and some new material, including results on smoothing for linear Gaussian dynamics. In Chapter 2 the derivation of the basic filters related to the Markov chain are each presented explicitly, rather than as special cases of one general filter. Furthermore, equations for smoothed estimates are given. The dynamics for the Kalman filter are derived as special cases of the authors’ general results and new expressions for a Kalman smoother are given. The Chapters on the control of Hidden Markov Chains are expanded and clarified. The revised Chapter 4 includes state estimation for discrete time Markov processes and Chapter 12 has a new section on robust control.