Optimal Feedback for Stochastic Linear Quadratic Control and Backward Stochastic Riccati Equations in Infinite Dimensions

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Publisher : American Mathematical Society
ISBN 13 : 1470468751
Total Pages : 120 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Optimal Feedback for Stochastic Linear Quadratic Control and Backward Stochastic Riccati Equations in Infinite Dimensions by : Qi Lü

Download or read book Optimal Feedback for Stochastic Linear Quadratic Control and Backward Stochastic Riccati Equations in Infinite Dimensions written by Qi Lü and published by American Mathematical Society. This book was released on 2024-03-18 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Stochastic Linear-Quadratic Optimal Control Theory: Open-Loop and Closed-Loop Solutions

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Publisher : Springer Nature
ISBN 13 : 3030209229
Total Pages : 129 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Stochastic Linear-Quadratic Optimal Control Theory: Open-Loop and Closed-Loop Solutions by : Jingrui Sun

Download or read book Stochastic Linear-Quadratic Optimal Control Theory: Open-Loop and Closed-Loop Solutions written by Jingrui Sun and published by Springer Nature. This book was released on 2020-06-29 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the most essential results, including recent ones, on linear-quadratic optimal control problems, which represent an important aspect of stochastic control. It presents the results in the context of finite and infinite horizon problems, and discusses a number of new and interesting issues. Further, it precisely identifies, for the first time, the interconnections between three well-known, relevant issues – the existence of optimal controls, solvability of the optimality system, and solvability of the associated Riccati equation. Although the content is largely self-contained, readers should have a basic grasp of linear algebra, functional analysis and stochastic ordinary differential equations. The book is mainly intended for senior undergraduate and graduate students majoring in applied mathematics who are interested in stochastic control theory. However, it will also appeal to researchers in other related areas, such as engineering, management, finance/economics and the social sciences.

Mathematical Control Theory for Stochastic Partial Differential Equations

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Publisher : Springer Nature
ISBN 13 : 3030823318
Total Pages : 592 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Mathematical Control Theory for Stochastic Partial Differential Equations by : Qi Lü

Download or read book Mathematical Control Theory for Stochastic Partial Differential Equations written by Qi Lü and published by Springer Nature. This book was released on 2021-10-19 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to systematically present control theory for stochastic distributed parameter systems, a comparatively new branch of mathematical control theory. The new phenomena and difficulties arising in the study of controllability and optimal control problems for this type of system are explained in detail. Interestingly enough, one has to develop new mathematical tools to solve some problems in this field, such as the global Carleman estimate for stochastic partial differential equations and the stochastic transposition method for backward stochastic evolution equations. In a certain sense, the stochastic distributed parameter control system is the most general control system in the context of classical physics. Accordingly, studying this field may also yield valuable insights into quantum control systems. A basic grasp of functional analysis, partial differential equations, and control theory for deterministic systems is the only prerequisite for reading this book.

Control And Inverse Problems For Partial Differential Equations

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Author :
Publisher : World Scientific
ISBN 13 : 9813276169
Total Pages : 264 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Control And Inverse Problems For Partial Differential Equations by : Bao Gang

Download or read book Control And Inverse Problems For Partial Differential Equations written by Bao Gang and published by World Scientific. This book was released on 2019-04-08 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of lecture notes for the LIASFMA Hangzhou Autumn School on 'Control and Inverse Problems for Partial Differential Equations' which was held during October 17-22, 2016 at Zhejiang University, Hangzhou, China. This autumn school is one of the activities organized by Sino-French International Associate Laboratory in Applied Mathematics (LIASFMA). Established jointly by eight institutions in China and France in 2014, LIASFMA aims at providing a platform for many leading French and Chinese mathematicians to conduct in-depth researches, extensive exchanges, and student training in broad areas of applied mathematics.The book provides the readers with a unique and valuable opportunity to learn from and communicate with leading experts in control and inverse problems. And the readers are exposed not only to the basic theories and methods but also to the forefront of research directions in both fields.

Almost Sure Scattering for the One Dimensional Nonlinear Schrödinger Equation

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Publisher : American Mathematical Society
ISBN 13 : 1470469790
Total Pages : 102 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Almost Sure Scattering for the One Dimensional Nonlinear Schrödinger Equation by : Nicolas Burq

Download or read book Almost Sure Scattering for the One Dimensional Nonlinear Schrödinger Equation written by Nicolas Burq and published by American Mathematical Society. This book was released on 2024-05-15 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Stochastic Linear-Quadratic Optimal Control Theory: Differential Games and Mean-Field Problems

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Publisher : Springer Nature
ISBN 13 : 3030483061
Total Pages : 138 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Stochastic Linear-Quadratic Optimal Control Theory: Differential Games and Mean-Field Problems by : Jingrui Sun

Download or read book Stochastic Linear-Quadratic Optimal Control Theory: Differential Games and Mean-Field Problems written by Jingrui Sun and published by Springer Nature. This book was released on 2020-06-29 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the most essential results, including recent ones, on linear-quadratic optimal control problems, which represent an important aspect of stochastic control. It presents results for two-player differential games and mean-field optimal control problems in the context of finite and infinite horizon problems, and discusses a number of new and interesting issues. Further, the book identifies, for the first time, the interconnections between the existence of open-loop and closed-loop Nash equilibria, solvability of the optimality system, and solvability of the associated Riccati equation, and also explores the open-loop solvability of mean-filed linear-quadratic optimal control problems. Although the content is largely self-contained, readers should have a basic grasp of linear algebra, functional analysis and stochastic ordinary differential equations. The book is mainly intended for senior undergraduate and graduate students majoring in applied mathematics who are interested in stochastic control theory. However, it will also appeal to researchers in other related areas, such as engineering, management, finance/economics and the social sciences.

Local Lipschitz Continuity in the Initial Value and Strong Completeness for Nonlinear Stochastic Differential Equations

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Author :
Publisher : American Mathematical Society
ISBN 13 : 1470467011
Total Pages : 102 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Local Lipschitz Continuity in the Initial Value and Strong Completeness for Nonlinear Stochastic Differential Equations by : Sonja Cox

Download or read book Local Lipschitz Continuity in the Initial Value and Strong Completeness for Nonlinear Stochastic Differential Equations written by Sonja Cox and published by American Mathematical Society. This book was released on 2024-05-15 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Mixed Hodge Structures on Alexander Modules

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Publisher : American Mathematical Society
ISBN 13 : 1470469677
Total Pages : 128 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mixed Hodge Structures on Alexander Modules by : Eva Elduque

Download or read book Mixed Hodge Structures on Alexander Modules written by Eva Elduque and published by American Mathematical Society. This book was released on 2024-05-15 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Higher Airy Structures, $mathcal {W}$ Algebras and Topological Recursion

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Publisher : American Mathematical Society
ISBN 13 : 1470469065
Total Pages : 120 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Higher Airy Structures, $mathcal {W}$ Algebras and Topological Recursion by : Gaëtan Borot

Download or read book Higher Airy Structures, $mathcal {W}$ Algebras and Topological Recursion written by Gaëtan Borot and published by American Mathematical Society. This book was released on 2024-05-15 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Dehn Fillings of Knot Manifolds Containing Essential Twice-Punctured Tori

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Publisher : American Mathematical Society
ISBN 13 : 1470468700
Total Pages : 136 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Dehn Fillings of Knot Manifolds Containing Essential Twice-Punctured Tori by : Steven Boyer

Download or read book Dehn Fillings of Knot Manifolds Containing Essential Twice-Punctured Tori written by Steven Boyer and published by American Mathematical Society. This book was released on 2024-04-17 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Transition Threshold for the 3D Couette Flow in a Finite Channel

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Publisher : American Mathematical Society
ISBN 13 : 1470468956
Total Pages : 190 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Transition Threshold for the 3D Couette Flow in a Finite Channel by : Qi Chen

Download or read book Transition Threshold for the 3D Couette Flow in a Finite Channel written by Qi Chen and published by American Mathematical Society. This book was released on 2024-05-15 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Littlewood and Duffin–Schaeffer-Type Problems in Diophantine Approximation

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Publisher : American Mathematical Society
ISBN 13 : 1470468794
Total Pages : 86 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Littlewood and Duffin–Schaeffer-Type Problems in Diophantine Approximation by : Sam Chow

Download or read book Littlewood and Duffin–Schaeffer-Type Problems in Diophantine Approximation written by Sam Chow and published by American Mathematical Society. This book was released on 2024-05-15 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow

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Publisher : American Mathematical Society
ISBN 13 : 147046876X
Total Pages : 160 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow by : Maxwell Stolarski

Download or read book Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow written by Maxwell Stolarski and published by American Mathematical Society. This book was released on 2024-04-17 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Control Theory and Related Topics

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Publisher :
ISBN 13 : 9814475807
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Control Theory and Related Topics by :

Download or read book Control Theory and Related Topics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Controls

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387987231
Total Pages : 472 pages
Book Rating : 4.9/5 (872 download)

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Book Synopsis Stochastic Controls by : Jiongmin Yong

Download or read book Stochastic Controls written by Jiongmin Yong and published by Springer Science & Business Media. This book was released on 1999-06-22 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: As is well known, Pontryagin's maximum principle and Bellman's dynamic programming are the two principal and most commonly used approaches in solving stochastic optimal control problems. * An interesting phenomenon one can observe from the literature is that these two approaches have been developed separately and independently. Since both methods are used to investigate the same problems, a natural question one will ask is the fol lowing: (Q) What is the relationship betwccn the maximum principlc and dy namic programming in stochastic optimal controls? There did exist some researches (prior to the 1980s) on the relationship between these two. Nevertheless, the results usually werestated in heuristic terms and proved under rather restrictive assumptions, which were not satisfied in most cases. In the statement of a Pontryagin-type maximum principle there is an adjoint equation, which is an ordinary differential equation (ODE) in the (finite-dimensional) deterministic case and a stochastic differential equation (SDE) in the stochastic case. The system consisting of the adjoint equa tion, the original state equation, and the maximum condition is referred to as an (extended) Hamiltonian system. On the other hand, in Bellman's dynamic programming, there is a partial differential equation (PDE), of first order in the (finite-dimensional) deterministic case and of second or der in the stochastic case. This is known as a Hamilton-Jacobi-Bellman (HJB) equation.

Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics

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Publisher : Princeton University Press
ISBN 13 : 0691142173
Total Pages : 399 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics by : G. F. Roach

Download or read book Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics written by G. F. Roach and published by Princeton University Press. This book was released on 2012-03-04 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important applications, these materials have been intensely studied over the past twenty-five years, mainly from the perspectives of physics and engineering. But a body of rigorous mathematical theory has also gradually developed, and this is the first book to present that theory. Designed for researchers and advanced graduate students in applied mathematics, electrical engineering, and physics, this book introduces the electromagnetics of complex media through a systematic, state-of-the-art account of their mathematical theory. The book combines the study of well posedness, homogenization, and controllability of Maxwell equations complemented with constitutive relations describing complex media. The book treats deterministic and stochastic problems both in the frequency and time domains. It also covers computational aspects and scattering problems, among other important topics. Detailed appendices make the book self-contained in terms of mathematical prerequisites, and accessible to engineers and physicists as well as mathematicians.

Stochastic Controls

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461214661
Total Pages : 459 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Stochastic Controls by : Jiongmin Yong

Download or read book Stochastic Controls written by Jiongmin Yong and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: As is well known, Pontryagin's maximum principle and Bellman's dynamic programming are the two principal and most commonly used approaches in solving stochastic optimal control problems. * An interesting phenomenon one can observe from the literature is that these two approaches have been developed separately and independently. Since both methods are used to investigate the same problems, a natural question one will ask is the fol lowing: (Q) What is the relationship betwccn the maximum principlc and dy namic programming in stochastic optimal controls? There did exist some researches (prior to the 1980s) on the relationship between these two. Nevertheless, the results usually werestated in heuristic terms and proved under rather restrictive assumptions, which were not satisfied in most cases. In the statement of a Pontryagin-type maximum principle there is an adjoint equation, which is an ordinary differential equation (ODE) in the (finite-dimensional) deterministic case and a stochastic differential equation (SDE) in the stochastic case. The system consisting of the adjoint equa tion, the original state equation, and the maximum condition is referred to as an (extended) Hamiltonian system. On the other hand, in Bellman's dynamic programming, there is a partial differential equation (PDE), of first order in the (finite-dimensional) deterministic case and of second or der in the stochastic case. This is known as a Hamilton-Jacobi-Bellman (HJB) equation.