| 书目名称 | Control of Wave and Beam PDEs |
| 副标题 | The Riesz Basis Appr |
| 编辑 | Bao-Zhu Guo,Jun-Min Wang |
| 视频video | http://file.papertrans.cn/238/237436/237436.mp4 |
| 概述 | Enriches understanding of the mathematics behind important classes of control problems for further research.Equips readers to handle the analysis for systems described by partial differential equation |
| 丛书名称 | Communications and Control Engineering |
| 图书封面 |  |
| 描述 | .Control of Wave and Beam PDEs. is a concise, self-contained introduction to Riesz bases in Hilbert space and their applications to control systems described by partial differential equations (PDEs). The authors discuss classes of systems that satisfy the spectral determined growth condition, the problem of stability, and the relationship between fulfillment of the condition and stability...Using the (fundamental) Riesz-basis property, the book shows how controllability, observability, stability, etc., can be derived for a linear system. The text provides a crash course in the mathematical theory of Riesz bases so that a reader can quickly understand this powerful method of dealing with linear PDEs. It introduces several important methods for achieving the Riesz basis property through spectral analysis, as well as new approaches including treatment of systems coupled through boundary weak connections...The book moves from a discussion of mathematical preliminaries through bases in Hilbert Spaces to applications to Euler–Bernoulli and Rayleigh beam equations and hybrid systems. The final chapter expands the use of the book’s methods to applications in other systems...Many typical ex |
| 出版日期 | Book 2019 |
| 关键词 | Riesz Basis; Infinite Systems; Stabilization; Feedback; Control Design; Beam Models; Coupled PDEs; Boundary |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-12481-6 |
| isbn_softcover | 978-3-030-12483-0 |
| isbn_ebook | 978-3-030-12481-6Series ISSN 0178-5354 Series E-ISSN 2197-7119 |
| issn_series | 0178-5354 |
| copyright | Springer Nature Switzerland AG 2019 |
|Archiver|手机版|小黑屋|
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