[PDF] Optimal Feedback For Stochastic Linear Quadratic Control And Backward Stochastic Riccati Equations In Infinite Dimensions - eBooks Review

Optimal Feedback For Stochastic Linear Quadratic Control And Backward Stochastic Riccati Equations In Infinite Dimensions


Optimal Feedback For Stochastic Linear Quadratic Control And Backward Stochastic Riccati Equations In Infinite Dimensions
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Optimal Feedback For Stochastic Linear Quadratic Control And Backward Stochastic Riccati Equations In Infinite Dimensions


Optimal Feedback For Stochastic Linear Quadratic Control And Backward Stochastic Riccati Equations In Infinite Dimensions
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Author : Qi Lü
language : en
Publisher:
Release Date : 2024

Optimal Feedback For Stochastic Linear Quadratic Control And Backward Stochastic Riccati Equations In Infinite Dimensions written by Qi Lü and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Control theory categories.




Optimal Feedback For Stochastic Linear Quadratic Control And Backward Stochastic Riccati Equations In Infinite Dimensions


Optimal Feedback For Stochastic Linear Quadratic Control And Backward Stochastic Riccati Equations In Infinite Dimensions
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Author : Qi Lü
language : en
Publisher: American Mathematical Society
Release Date : 2024-03-18

Optimal Feedback For Stochastic Linear Quadratic Control And Backward Stochastic Riccati Equations In Infinite Dimensions written by Qi Lü and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-18 with Mathematics categories.


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Mathematical Control Theory For Stochastic Partial Differential Equations


Mathematical Control Theory For Stochastic Partial Differential Equations
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Author : Qi Lü
language : en
Publisher: Springer Nature
Release Date : 2021-09-17

Mathematical Control Theory For Stochastic Partial Differential Equations written by Qi Lü and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-17 with Science categories.


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


Control And Inverse Problems For Partial Differential Equations
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Author : Gang Bao
language : en
Publisher: World Scientific
Release Date : 2019-04-03

Control And Inverse Problems For Partial Differential Equations written by Gang Bao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-03 with Mathematics categories.


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 Schr Dinger Equation


Almost Sure Scattering For The One Dimensional Nonlinear Schr Dinger Equation
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Author : Nicolas Burq
language : en
Publisher: American Mathematical Society
Release Date : 2024-05-15

Almost Sure Scattering For The One Dimensional Nonlinear Schr Dinger Equation written by Nicolas Burq and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-15 with Mathematics categories.


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Time Delayed Linear Quadratic Optimal Control Problems


Time Delayed Linear Quadratic Optimal Control Problems
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Author : Weijun Meng
language : en
Publisher: Springer Nature
Release Date : 2025-02-22

Time Delayed Linear Quadratic Optimal Control Problems written by Weijun Meng and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-22 with Science categories.


This book characterizes the open-loop and closed-loop solvability for time-delayed linear quadratic optimal control problems. Different from the existing literature, in the current book, we present a theory of deterministic LQ problems with delays which has several new features: Our system is time-varying, with both the state equation and cost functional being allowed to include discrete and distributed delays, both in the state and the control. We take different approaches to discuss the unboundedness of the control operator. The open-loop solvability of the lifted problem is characterized by the solvability of a system of forward-backward integral evolution equations and the convexity condition of the cost functional. Surprisingly, the adjoint equations involve some coupled partial differential equations, which is significantly different from that in the literature, where, the adjoint equations are all some anticipated backward ordinary differential equations. The closed-loop solvability is characterized by the solvability of three equivalent integral operator-valued Riccati equations and two equivalent backward integral evolution equations which are much easier to handle than the differential operator-valued Riccati equations used in the literature to study similar problems. The closed-loop representation of open-loop optimal control is presented through three equivalent integral operator-valued Riccati equations.



Asymptotic Completeness For A Scalar Quasilinear Wave Equation Satisfying The Weak Null Condition


Asymptotic Completeness For A Scalar Quasilinear Wave Equation Satisfying The Weak Null Condition
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Author : Dongxiao Yu
language : en
Publisher: American Mathematical Society
Release Date : 2024-07-25

Asymptotic Completeness For A Scalar Quasilinear Wave Equation Satisfying The Weak Null Condition written by Dongxiao Yu and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-25 with Mathematics categories.


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Local Lipschitz Continuity In The Initial Value And Strong Completeness For Nonlinear Stochastic Differential Equations


Local Lipschitz Continuity In The Initial Value And Strong Completeness For Nonlinear Stochastic Differential Equations
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Author : Sonja Cox
language : en
Publisher: American Mathematical Society
Release Date : 2024-05-15

Local Lipschitz Continuity In The Initial Value And Strong Completeness For Nonlinear Stochastic Differential Equations written by Sonja Cox and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-15 with Mathematics categories.


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On Refined Conjectures Of Birch And Swinnerton Dyer Type For Hasse Weil Artin L Series


On Refined Conjectures Of Birch And Swinnerton Dyer Type For Hasse Weil Artin L Series
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Author : David Burns
language : en
Publisher: American Mathematical Society
Release Date : 2024-06-07

On Refined Conjectures Of Birch And Swinnerton Dyer Type For Hasse Weil Artin L Series written by David Burns and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-07 with Mathematics categories.


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Cubical Models Of Infty 1 Categories


Cubical Models Of Infty 1 Categories
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Author : Brandon Doherty
language : en
Publisher: American Mathematical Society
Release Date : 2024-06-07

Cubical Models Of Infty 1 Categories written by Brandon Doherty and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-07 with Mathematics categories.


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