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Mathematical Control Theory for Stochastic Partial Differential Equations

éditeur : Springer
catégorie : Sciences et médecine > Mathématiques
date de publication :
délai de livraison : Immédiat (à partir de la date de publication)

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Résumé

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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Informations

Titre Mathematical Control Theory for Stochastic Partial Differential Equations
Auteurs ,
Editeur Springer
Langue EN
Date de publication 18/09/2021

Droits numériques

Ean PDF 9783030823313
Type de protection Adobe DRM
Ean papier 9783030823306
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