Synchronization for Wave Equations with Locally Distributed Controls

Tatsien Li, Bopeng Rao (Autoren)

Buch | Softcover

199 Seiten

2025
Springer Verlag, Singapore
978-981-97-0994-6 (ISBN)

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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.

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.

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.

Erscheinungsdatum	18.06.2025
Reihe/Serie	Series in Contemporary Mathematics
Zusatzinfo	2 Illustrations, color; 1 Illustrations, black and white
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	attainable sets • Controllability • internal synchronization • Kalman’s criteria • locally distributed control • mixed synchronization • Wave Equations
ISBN-10	981-97-0994-6 / 9819709946
ISBN-13	978-981-97-0994-6 / 9789819709946
Zustand	Neuware