Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems write by Tatsien Li. This book was released on 2016-11-08. Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems available in PDF, EPUB and Kindle. This book provides a comprehensive overview of the exact boundary controllability of nodal profile, a new kind of exact boundary controllability stimulated by some practical applications. This kind of controllability is useful in practice as it does not require any precisely given final state to be attained at a suitable time t=T by means of boundary controls, instead it requires the state to exactly fit any given demand (profile) on one or more nodes after a suitable time t=T by means of boundary controls. In this book we present a general discussion of this kind of controllability for general 1-D first order quasilinear hyperbolic systems and for general 1-D quasilinear wave equations on an interval as well as on a tree-like network using a modular-structure construtive method, suggested in LI Tatsien's monograph "Controllability and Observability for Quasilinear Hyperbolic Systems"(2010), and we establish a complete theory on the local exact boundary controllability of nodal profile for 1-D quasilinear hyperbolic systems.
One-dimensional Hyperbolic Conservation Laws And Their Applications
One-dimensional Hyperbolic Conservation Laws And Their Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook One-dimensional Hyperbolic Conservation Laws And Their Applications write by Jean-michel Coron. This book was released on 2019-01-08. One-dimensional Hyperbolic Conservation Laws And Their Applications available in PDF, EPUB and Kindle. This book is a collection of lecture notes for the LIASFMA Shanghai Summer School on 'One-dimensional Hyperbolic Conservation Laws and Their Applications' which was held during August 16 to August 27, 2015 at Shanghai Jiao Tong University, Shanghai, China. This summer school is one of the activities promoted by Sino-French International Associate Laboratory in Applied Mathematics (LIASFMA in short). LIASFMA was established jointly by eight institutions in China and France in 2014, which is aimed at providing a platform for some of the leading French and Chinese mathematicians to conduct in-depth researches, extensive exchanges, and student training in the field of applied mathematics. This summer school has the privilege of being the first summer school of the newly established LIASFMA, which makes it significant.
Boundary Synchronization for Hyperbolic Systems
Boundary Synchronization for Hyperbolic Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Boundary Synchronization for Hyperbolic Systems write by Tatsien Li. This book was released on 2019-12-02. Boundary Synchronization for Hyperbolic Systems available in PDF, EPUB and Kindle. 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.
Numerical Control: Part A
Numerical Control: Part A - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Control: Part A write by . This book was released on 2022-02-15. Numerical Control: Part A available in PDF, EPUB and Kindle. Numerical Control: Part A, Volume 23 in the Handbook of Numerical Analysis series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this volume include Numerics for finite-dimensional control systems, Moments and convex optimization for analysis and control of nonlinear PDEs, The turnpike property in optimal control, Structure-Preserving Numerical Schemes for Hamiltonian Dynamics, Optimal Control of PDEs and FE-Approximation, Filtration techniques for the uniform controllability of semi-discrete hyperbolic equations, Numerical controllability properties of fractional partial differential equations, Optimal Control, Numerics, and Applications of Fractional PDEs, and much more. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in the Handbook of Numerical Analysis series Updated release includes the latest information on Numerical Control
Trends in PDE Constrained Optimization
Trends in PDE Constrained Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Trends in PDE Constrained Optimization write by Günter Leugering. This book was released on 2014-12-22. Trends in PDE Constrained Optimization available in PDF, EPUB and Kindle. Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on “Optimization with Partial Differential Equations” from 2006 to 2013. The investigations were motivated by the fascinating potential applications and challenging mathematical problems that arise in the field of PDE constrained optimization. New analytic and algorithmic paradigms have been developed, implemented and validated in the context of real-world applications. In this special volume, contributions from more than fifteen German universities combine the results of this interdisciplinary program with a focus on applied mathematics. The book is divided into five sections on “Constrained Optimization, Identification and Control”, “Shape and Topology Optimization”, “Adaptivity and Model Reduction”, “Discretization: Concepts and Analysis” and “Applications”. Peer-reviewed research articles present the most recent results in the field of PDE constrained optimization and control problems. Informative survey articles give an overview of topics that set sustainable trends for future research. This makes this special volume interesting not only for mathematicians, but also for engineers and for natural and medical scientists working on processes that can be modeled by PDEs.
