Mathematical control theory for stochastic partial differential equations [Documento eletrónico] / Qi Lü, Xu Zhang
Language: eng.Country: Switzerland, Swiss Confederation, Cham.Publication: Cham : Springer International Publishing, 2021Description: XIII, 592 p.ISBN: 978-3-030-82331-3.Series: Probability Theory and Stochastic Modelling, vol. 101Subject - Topical Name: System theory | Control theory | Mathematical optimization | Calculus of variations | Probabilities | Mathematical analysis Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | Q295.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 96167 |
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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. 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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