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020 _a9789819709922
_9978-981-97-0992-2
024 7 _a10.1007/978-981-97-0992-2
_2doi
050 4 _aQ295
050 4 _aQA402.3-402.37
072 7 _aGPFC
_2bicssc
072 7 _aSCI064000
_2bisacsh
072 7 _aGPFC
_2thema
100 1 _aLi, Tatsien.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_977644
245 1 0 _aSynchronization for Wave Equations with Locally Distributed Controls
_h[electronic resource] /
_cby Tatsien Li, Bopeng Rao.
250 _a1st ed. 2024.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2024.
300 _aIX, 199 p. 3 illus., 2 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSeries in Contemporary Mathematics,
_x2364-0103 ;
_v5
505 0 _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.
520 _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.
650 0 _aSystem theory.
_966519
650 0 _aControl theory.
_968675
650 0 _aDifferential equations.
650 0 _aFunctional analysis.
650 1 4 _aSystems Theory, Control.
_968676
650 2 4 _aDifferential Equations.
650 2 4 _aFunctional Analysis.
700 1 _aRao, Bopeng.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_977645
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789819709915
776 0 8 _iPrinted edition:
_z9789819709939
776 0 8 _iPrinted edition:
_z9789819709946
830 0 _aSeries in Contemporary Mathematics,
_x2364-0103 ;
_v5
_977646
856 4 0 _uhttps://doi.org/10.1007/978-981-97-0992-2
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c60222
_d60222