Boundary synchronization for hyperbolic systems. (2019)

• Record Type: Book
• Further Information: Note: Tatsien Li, Bopeng Rao.
• Authors: Li, Daqian; Rao, Bopeng
• Contents: Introduction and Overview.- Preliminaries.- Part 1: Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls: Exact Boundary Synchronization.- Exact boundary controllability and non-exact boundary controllability.- Exact boundary synchronization and non-exact boundary synchronization.- Exactly synchronizable states.- Exact boundary synchronization by groups.- Exactly synchronizable states by p-groups.- Part 2: Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls: Approximate Boundary Synchronization.- Approximate boundary synchronization.- Approximate boundary synchronization by p-groups.- Induced approximate boundary synchronization.- Part 3: Synchronization for a Coupled System of Wave Equations with Neumann Boundary Controls: Exact Boundary Synchronization.- Exact boundary controllability and non-exact boundary controllability.- Exact boundary synchronization and non-exactly boundary synchronization.- Exact boundary synchronization by p-groups.- Determination of exactly synchronizable states by p-groups.- Part 4: Synchronization for a Coupled System of Wave Equations with Neumann Boundary Controls: Approximate Boundary Synchronization.- Approximate boundary null controllability.- Approximate boundary synchronization.- Approximate Boundary Synchronization by p-groups.- Part 5: Synchronization for a Coupled System of Wave Equations with Coupled Robin Boundary Controls: Exact Boundary Synchronization.- Preliminaries on problem (III) and (III0).- Exact boundary controllability and non-exact boundary controllability.- Exact boundary synchronization.- Determination of exactly synchronizable states.- Exact boundary synchronization by p-groups.- Necessity of the conditions of Cp-compatibility.- Determination of exactly synchronizable states by p-groups.- Part 6. Synchronization for a Coupled System of Wave Equations with Coupled Boundary Controls: Approximate Boundary Synchronization.- Some algebraic lemmas.- Approximate boundary null controllability.- Unique continuation for Robin problem.- Approximate boundary synchronization.- Approximate boundary synchronization by p-groups.- Approximately synchronizable states by p-groups.- Closing remarks.
• Publisher Details: Cham, Switzerland : Birkhäuser
• Publication Date: 2019
• Extent: 1 online resource
• Subjects: 515/.3535; Boundary value problems; Differential equations, Hyperbolic; Electronic books
• Languages: English
• ISBNs: 9783030328498
• Related ISBNs: 303032849X; 9783030328481
• Notes: Note: Online resource; title from PDF title page (EBSCO, viewed Janurary 21, 2019).
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