Mathematical Control Theory for Stochastic Partial Differential Equations
Aus der Reihe
Probability Theory and Stochastic Modelling
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- Hardcover
- Taschenbuch ausgewählt
- eBook
-
Sprache:Englisch
Fr. 201.00
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
18.09.2022
Abbildungen
XIII, 592 p.
Verlag
SpringerSeitenzahl
592
Maße (L/B/H)
23.5/15.5/3.3 cm
Gewicht
908 g
Auflage
22001 Auflage 1st ed. 2021
Sprache
Englisch
ISBN
978-3-030-82333-7
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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