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Boundary Synchronization for Hyperbolic Systems

Af: Tatsien Li, Bopeng Rao Engelsk Paperback

Boundary Synchronization for Hyperbolic Systems

Af: Tatsien Li, Bopeng Rao Engelsk Paperback
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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). By combining synchronization with controllability, they introduce the study of synchronization to the field of control and add new perspectives to the investigation of synchronization for systems of PDEs. With a focus on synchronization for a coupled system of wave equations, the text is divided into three parts corresponding to Dirichlet, Neumann, and coupled Robin boundary controls. Each part is then subdivided into chapters detailing exact boundary synchronization and approximate boundary synchronization, respectively. The core intention is to give artificial intervention to the evolution of state variables through appropriate boundary controls for realizing the synchronization in a finite time, creating a novel viewpoint into the investigation of synchronization for systems of partial differential equations, and revealing some essentially dissimilar characteristics from systems of ordinary differential equations. 

Primarily aimed at researchers and graduate students of applied mathematics and applied sciences, this text will particularly appeal to those interested in applied PDEs and control theory for distributed parameter systems. 


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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). By combining synchronization with controllability, they introduce the study of synchronization to the field of control and add new perspectives to the investigation of synchronization for systems of PDEs. With a focus on synchronization for a coupled system of wave equations, the text is divided into three parts corresponding to Dirichlet, Neumann, and coupled Robin boundary controls. Each part is then subdivided into chapters detailing exact boundary synchronization and approximate boundary synchronization, respectively. The core intention is to give artificial intervention to the evolution of state variables through appropriate boundary controls for realizing the synchronization in a finite time, creating a novel viewpoint into the investigation of synchronization for systems of partial differential equations, and revealing some essentially dissimilar characteristics from systems of ordinary differential equations. 

Primarily aimed at researchers and graduate students of applied mathematics and applied sciences, this text will particularly appeal to those interested in applied PDEs and control theory for distributed parameter systems. 


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Produktdetaljer
Sprog: Engelsk
Sider: 333
ISBN-13: 9783030328511
Indbinding: Paperback
Udgave:
ISBN-10: 3030328511
Kategori: Kybernetik og systemteori
Udg. Dato: 19 dec 2020
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 19 dec 2020
Forfatter(e): Tatsien Li, Bopeng Rao
Forfatter(e) Tatsien Li, Bopeng Rao

Kategori Kybernetik og systemteori

ISBN-13 9783030328511

Sprog Engelsk

Indbinding Paperback

Sider 333

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 19 dec 2020

Oplagsdato 19 dec 2020

Forlag Springer Nature Switzerland AG