| 书目名称 | Input-to-State Stability for PDEs |
| 编辑 | Iasson Karafyllis,Miroslav Krstic |
| 视频video | |
| 概述 | Provides the reader with a unique study of input-to-state stability for partial differential equations.Offers the first systematic study of PDEs with non-local terms.Equips the reader for a large numb |
| 丛书名称 | Communications and Control Engineering |
| 图书封面 |  |
| 描述 | This book lays the foundation for the study of input-to-state stability (ISS) of partial differential equations (PDEs) predominantly of two classes—parabolic and hyperbolic. This foundation consists of new PDE-specific tools. .In addition to developing ISS theorems, equipped with gain estimates with respect to external disturbances, the authors develop small-gain stability theorems for systems involving PDEs. A variety of system combinations are considered: ..PDEs (of either class) with static maps;.PDEs (again, of either class) with ODEs;.PDEs of the same class (parabolic with parabolic and hyperbolic with hyperbolic); and.feedback loops of PDEs of different classes (parabolic with hyperbolic)..In addition to stability results (including ISS), the text develops existence and uniqueness theory for all systems that are considered. Many of these results answer for the first time the existence and uniqueness problems for many problems that have dominated the PDE control literature of the last two decades, including—for PDEs that include non-local terms—backstepping control designs which result in non-local boundary conditions...Input-to-State Stability for PDEs. will interest applied |
| 出版日期 | Book 2019 |
| 关键词 | Input-to-State Stability; Infinite-Dimensional Systems; Partial Differential Equations; Small-Gain Anal |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-91011-6 |
| isbn_softcover | 978-3-030-08155-3 |
| isbn_ebook | 978-3-319-91011-6Series ISSN 0178-5354 Series E-ISSN 2197-7119 |
| issn_series | 0178-5354 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 20:00:57
