| 书目名称 | On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes |
| 编辑 | Werner Krabs |
| 视频video | |
| 丛书名称 | Lecture Notes in Control and Information Sciences |
| 图书封面 |  |
| 描述 | The main concern of this book is the application of infinitemoment theoryto the problem of controllability of one-di-mensional vibrating systems(like strings and beams) andheating processes. Distributed as well asboundary controlis considered.In the case of vibrating systemstrigonometric moment pro-blems are to be investigated which is done on the basis ofan abstract moment theory in Hilbert spaces. Equivalently,alsothe theory of linear operator equations on Hilbert spa-ces ( partly with unbounded operators) is applied to theproblem of controllability and time-minimal controllability.In the case of heating processes exponentialmoment problemsare to be dealt with which is done on the basis of an ab-stract moment theory in Banach spaces. Time-minimal control-lability is also treated with the aid of the theory of line-aroperator equations on Banach spaces.Some advanced knowledge in functionalanalyis and on partialdifferential equations is preassumed for a fluentreader ofthe book, but parts of it are also readable with basicma-thematical knowledge (for instance, the finite-dimensionalpart ofthe introduction). |
| 出版日期 | Book 1992 |
| 关键词 | Controlliability; Heat Diffusion; Linear Vibrations; Lineare Vibration; Moment Problems; Operator Equatio |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0039513 |
| isbn_softcover | 978-3-540-55102-7 |
| isbn_ebook | 978-3-540-46696-3Series ISSN 0170-8643 Series E-ISSN 1610-7411 |
| issn_series | 0170-8643 |
| copyright | Springer-Verlag Berlin Heidelberg 1992 |
发表于 2025-3-21 18:48:29
