Boundary Synchronization for Hyperbolic Systems

AvTatsien Li,Bopeng Rao

Häftad, Engelska, 2020

Del 94 i serien Progress in Nonlinear Differential Equations and Their Applications

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Beskrivning

Within this carefully presented monograph, the authors extend the universal phenomenon of synchronization from finite-dimensional dynamical systems of ordinary differential equations (ODEs) to infinite-dimensional dynamical systems of partial differential equations (PDEs).

Produktinformation

Utgivningsdatum:2020-12-19
Mått:155 x 235 x 19 mm
Vikt:522 g
Format:Häftad
Språk:Engelska
Serie:Progress in Nonlinear Differential Equations and Their Applications
Antal sidor:333
Förlag:Springer Nature Switzerland AG
ISBN:9783030328511

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Recensioner i media

“The book is well organized and presents the most important notions of boundary synchronization for hyperbolic systems. The book is suitable for senior undergraduate and graduate students as well as practical engineers, scientist and researchers interested in boundary synchronization for hyperbolic systems.” (Seenith Sivasundaram, zbMATH 1443.93002, 2020)

Innehållsförteckning

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.