Synchronization for Wave Equations with Locally Distributed Controls
This book aims to establish a systematic theory on the synchronization for wave equations with locally distributed controls. It is structured in two parts. Part I is devoted to internal controls, while Part II treats the case of mixed internal and boundary controls. The authors present necessary mat...
Wedi'i Gadw mewn:
| Prif Awduron: | , |
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| Awdur Corfforaethol: | |
| Fformat: | Electronig eLyfr |
| Iaith: | Saesneg |
| Cyhoeddwyd: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2024.
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| Rhifyn: | 1st ed. 2024. |
| Cyfres: | Series in Contemporary Mathematics,
5 |
| Pynciau: | |
| Mynediad Ar-lein: | https://doi.org/10.1007/978-981-97-0992-2 |
| Tagiau: |
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| 100 | 1 | |a Li, Tatsien. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Synchronization for Wave Equations with Locally Distributed Controls |h [electronic resource] / |c by Tatsien Li, Bopeng Rao. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Singapore : |b Springer Nature Singapore : |b Imprint: Springer, |c 2024. | |
| 300 | |a IX, 199 p. 3 illus., 2 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of color is not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background color |2 onix | |
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| 490 | 1 | |a Series in Contemporary Mathematics, |x 2364-0103 ; |v 5 | |
| 505 | 0 | |a 1. Introduction -- 2. Algebraic preliminaries -- 3. Approximate internal controllability -- 4. Indirect internal controls -- 5. Approximate internal synchronization -- 6. Approximate internal synchronization by groups -- 7. Exact internal controllability -- 8. Exact internal synchronization -- 9. Stability of exact internal synchronization -- 10. Exact internal synchronization by groups -- 11. Stability of exact internal synchronization by groups -- 12. Family of exact internal synchronizations -- 13. Approximate mixed controllability -- 14. Approximate mixed synchronization by groups -- 15. Exact mixed controllability -- 16. Exact mixed synchronization by groups. | |
| 520 | |a This book aims to establish a systematic theory on the synchronization for wave equations with locally distributed controls. It is structured in two parts. Part I is devoted to internal controls, while Part II treats the case of mixed internal and boundary controls. The authors present necessary mathematical formulations and techniques for analyzing and solving problems in this area. They also give numerous examples and applications to illustrate the concepts and demonstrate their practical relevance. The book provides an overview of the field and offers an in-depth analysis of new results with elegant proofs. By reading this book, it can be found that due to the use of internal controls, more deep-going results on synchronization can be obtained, which makes the corresponding synchronization theory more precise and complete. Graduate students and researchers in control and synchronization for partial differential equations, functional analysis find this book useful. It is also an excellent reference in the field. Thanks to the explicit criteria given in this book for various notions of controllability and synchronization, researchers and practitioners can effectively use the control strategies described in this book and make corresponding decisions regarding system design and operation. | ||
| 532 | 8 | |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, described non-text content (images, graphs), bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Control theory. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 1 | 4 | |a Systems Theory, Control. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 700 | 1 | |a Rao, Bopeng. |e author. |0 (orcid)0000-0001-9283-9505 |1 https://orcid.org/0000-0001-9283-9505 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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| 776 | 0 | 8 | |i Printed edition: |z 9789819709946 |
| 830 | 0 | |a Series in Contemporary Mathematics, |x 2364-0103 ; |v 5 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-981-97-0992-2 |
| 912 | |a ZDB-2-SMA | ||
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||