Mathematical Control Theory for Stochastic Partial Differential Equations
2021 ed.
Book Details
Format
Paperback / Softback
Book Series
Probability Theory and Stochastic Modelling
ISBN-10
3030823334
ISBN-13
9783030823337
Edition
2021 ed.
Publisher
Springer Nature Switzerland AG
Imprint
Springer Nature Switzerland AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Sep 18th, 2022
Print length
592 Pages
Ksh 25,200.00
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This is the first book to systematically present control theory for stochastic distributed parameter systems, a comparatively new branch of mathematical control theory.
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.
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