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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.
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 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.
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