Overview
- Provides a systematic theory on the internal synchronization for system of wave equations
- Presents necessary mathematical formulations and techniques for analyzing and solving problems in this area
- Gives numerous examples and applications to illustrate the concepts and demonstrate their practical relevance
Part of the book series: Series in Contemporary Mathematics (SCMA, volume 5)
Buy print copy
Tax calculation will be finalised at checkout
Keywords
- wave equations
- locally distributed control
- controllability
- internal synchronization
- mixed synchronization
- Kalman’s criteria
- attainable sets
About this book
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.
Authors and Affiliations
About the authors
Tatien Li is a professor at Fudan University; he is also a member of the Chinese Academy of Sciences and a foreign member of the French Academy of Science while Bopeng Rao is a professor at Strasbourg University. Both authors are specialists of control theory.
Bibliographic Information
Book Title: Synchronization for Wave Equations with Locally Distributed Controls
Authors: Tatsien Li, Bopeng Rao
Series Title: Series in Contemporary Mathematics
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Shanghai Scientific and Technical Publishers 2024
Hardcover ISBN: 978-981-97-0991-5Due: 10 June 2024
Softcover ISBN: 978-981-97-0994-6Due: 10 June 2024
eBook ISBN: 978-981-97-0992-2Due: 10 June 2024
Series ISSN: 2364-009X
Series E-ISSN: 2364-0103
Edition Number: 1
Number of Pages: IX, 199
Number of Illustrations: 1 b/w illustrations, 2 illustrations in colour