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Boundary Synchronization for Hyperbolic Systems
Af: Tatsien Li, Bopeng Rao Engelsk Hardback
SPAR
kr 320
Boundary Synchronization for Hyperbolic Systems
Af: Tatsien Li, Bopeng Rao Engelsk Hardback

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. 


Produktdetaljer
Sprog: Engelsk
Sider: 333
ISBN-13: 9783030328481
Indbinding: Hardback
Udgave:
ISBN-10: 3030328481
Udg. Dato: 19 dec 2019
Længde: 0mm
Bredde: 235mm
Højde: 155mm
Oplagsdato: 19 dec 2019
Forfatter(e): Tatsien Li, Bopeng Rao
Forfatter(e) Tatsien Li, Bopeng Rao


Kategori Kybernetik og systemteori


Sprog Engelsk


Indbinding Hardback


Sider 333


Udgave


Længde 0mm


Bredde 235mm


Højde 155mm


Udg. Dato 19 dec 2019


Oplagsdato 19 dec 2019

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