| 书目名称 | Mathematical Control Theory for Stochastic Partial Differential Equations |
| 编辑 | Qi Lü,Xu Zhang |
| 视频video | |
| 概述 | Control theory for stochastic distributed parameters is a new branch.New tools presented in this book.Required reading for anyone who wants to study quantum control systems mathematically |
| 丛书名称 | Probability Theory and Stochastic Modelling |
| 图书封面 |  |
| 描述 | 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.. |
| 出版日期 | Book 2021 |
| 关键词 | stochastic evolution equation; control theory; controllability; observability; optimal control; global Ca |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-82331-3 |
| isbn_softcover | 978-3-030-82333-7 |
| isbn_ebook | 978-3-030-82331-3Series ISSN 2199-3130 Series E-ISSN 2199-3149 |
| issn_series | 2199-3130 |
| copyright | Springer Nature Switzerland AG 2021 |
发表于 2025-3-21 18:22:31
