Mathematical Control Theory for Stochastic Partial Differential Equations

This book PDF is perfect for those who love Science genre, written by Qi Lü and published by Springer Nature which was released on 19 October 2021 with total hardcover pages 592. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Mathematical Control Theory for Stochastic Partial Differential Equations books below.

Mathematical Control Theory for Stochastic Partial Differential Equations
Mathematical Control Theory for Stochastic Partial Differential Equations
Author : Qi Lü
File Size : 54,8 Mb
Publisher : Springer Nature
Language : English
Release Date : 19 October 2021
ISBN : 9783030823313
Pages : 592 pages
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Mathematical Control Theory for Stochastic Partial Differential Equations by Qi Lü Book PDF Summary

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.

Mathematical Control Theory for Stochastic Partial Differential Equations

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