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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.
This volume includes guiding cases of the Supreme People's Court, cases deliberated on by the Judicial Council/Committee of the Supreme People's Court, and cases discussed at the Joint Meetings of Presiding Judges from the various tribunals. This book is divided into four sections, including Cases by Justices, Selected Judicial Opinion(s), "Hot Cases" and "Typical Cases", which will introduce readers to Chinese legal processes, legal methodologies and ideology in an intuitive, clear, and accurate manner.This volume presents cases selected by the trial departments of the Supreme People's Court of China from their concluded cases. In order to give full weight to the legal value and social functions of cases from the Supreme People's Court, and to achieve the goal of "serving the trial practices, serving economic and social development, serving legal education and legal scholarship, serving international legal exchanges among Chinese and foreign legal communities and serving the rule of law in China", the China Institute of Applied Jurisprudence, with the approval of the Supreme People's Court, opted to publish "Selected Cases from the Supreme People's Court of the People's Republic of China" in both Chinese and English, for domestic and overseas distribution.
This volume is composed of two parts: Mathematical and Numerical Analysis for Strongly Nonlinear Plasma Models and Exact Controllability and Observability for Quasilinear Hyperbolic Systems and Applications. It presents recent progress and results obtained in the domains related to both subjects without attaching much importance to the details of proofs but rather to difficulties encountered, to open problems and possible ways to be exploited. It will be very useful for promoting further study on some important problems in the future.
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.
This volume includes guiding cases of the Supreme People's Court, cases deliberated on by the Judicial Council/Committee of the Supreme People's Court, and cases discussed at the Joint Meetings of Presiding Judges from the various tribunals. This book is divided into four sections, including Cases by Justices, Selected Judicial Opinion(s), "Hot Cases" and "Typical Cases", which will introduce readers to Chinese legal processes, legal methodologies and ideology in an intuitive, clear, and accurate manner.This volume presents cases selected by the trial departments of the Supreme People's Court of China from their concluded cases. In order to give full weight to the legal value and social functions of cases from the Supreme People's Court, and to achieve the goal of "serving the trial practices, serving economic and social development, serving legal education and legal scholarship, serving international legal exchanges among Chinese and foreign legal communities and serving the rule of law in China", the China Institute of Applied Jurisprudence, with the approval of the Supreme People's Court, opted to publish "Selected Cases from the Supreme People's Court of the People's Republic of China" in both Chinese and English, for domestic and overseas distribution.
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