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010   $a981-9709-92-X
024 7 $a10.1007/978-981-97-0992-2
035   $a(MiAaPQ)EBC31356917
035   $a(Au-PeEL)EBL31356917
035   $a(CKB)32169709400041
035   $a(DE-He213)978-981-97-0992-2
035   $a(OCoLC)1436830826
035   $a(EXLCZ)9932169709400041
100   $a20240528d2024      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aSynchronization for Wave Equations with Locally Distributed Controls /$fby Tatsien Li, Bopeng Rao
205   $a1st ed. 2024.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2024.
215   $a1 online resource (199 pages)
225 1 $aSeries in Contemporary Mathematics,$x2364-0103 ;$v5
311 08$a981-9709-91-1 
327   $a1. 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.
330   $aThis book aims to establish a systematic theory on the synchronization for wave equations with locally distributed controls. It is structured in two parts. Part I is devoted to internal controls, while Part II treats the case of mixed internal and boundary controls. The authors present necessary mathematical formulations and techniques for analyzing and solving problems in this area. They also give numerous examples and applications to illustrate the concepts and demonstrate their practical relevance. The book provides an overview of the field and offers an in-depth analysis of new results with elegant proofs. By reading this book, it can be found that due to the use of internal controls, more deep-going results on synchronization can be obtained, which makes the corresponding synchronization theory more precise and complete. Graduate students and researchers in control and synchronization for partial differential equations, functional analysis find this book useful. It is also an excellent reference in the field. Thanks to the explicit criteria given in this book for various notions of controllability and synchronization, researchers and practitioners can effectively use the control strategies described in this book and make corresponding decisions regarding system design and operation.
410  0$aSeries in Contemporary Mathematics,$x2364-0103 ;$v5
606   $aSystem theory
606   $aControl theory
606   $aDifferential equations
606   $aFunctional analysis
606   $aSystems Theory, Control
606   $aDifferential Equations
606   $aFunctional Analysis
615  0$aSystem theory.
615  0$aControl theory.
615  0$aDifferential equations.
615  0$aFunctional analysis.
615 14$aSystems Theory, Control.
615 24$aDifferential Equations.
615 24$aFunctional Analysis.
676   $a3
700   $aLi$b Tatsien$0755910
701   $aRao$b Bopeng$0781006
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910865267403321
996   $aSynchronization for Wave Equations with Locally Distributed Controls$94169543
997   $aUNINA