03867nam 22006135 450 991086526740332120240627171452.0981-9709-92-X10.1007/978-981-97-0992-2(MiAaPQ)EBC31356917(Au-PeEL)EBL31356917(CKB)32169709400041(DE-He213)978-981-97-0992-2(OCoLC)1436830826(EXLCZ)993216970940004120240528d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSynchronization for Wave Equations with Locally Distributed Controls /by Tatsien Li, Bopeng Rao1st ed. 2024.Singapore :Springer Nature Singapore :Imprint: Springer,2024.1 online resource (199 pages)Series in Contemporary Mathematics,2364-0103 ;5981-9709-91-1 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.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.Series in Contemporary Mathematics,2364-0103 ;5System theoryControl theoryDifferential equationsFunctional analysisSystems Theory, ControlDifferential EquationsFunctional AnalysisSystem theory.Control theory.Differential equations.Functional analysis.Systems Theory, Control.Differential Equations.Functional Analysis.3Li Tatsien755910Rao Bopeng781006MiAaPQMiAaPQMiAaPQBOOK9910865267403321Synchronization for Wave Equations with Locally Distributed Controls4169543UNINA