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Adaptive Control of Hyperbolic PDEs, Henrik Anfinsen; Ole Morten Aamo


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Автор: Henrik Anfinsen; Ole Morten Aamo
Название:  Adaptive Control of Hyperbolic PDEs
ISBN: 9783030058784
Издательство: Springer
Классификация:







ISBN-10: 3030058786
Обложка/Формат: Hardcover
Страницы: 478
Вес: 1.13 кг.
Дата издания: 2019
Серия: Communications and Control Engineering
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 56 illustrations, color; 6 illustrations, black and white; xv, 478 p. 62 illus., 56 illus. in color. with online files/update.
Размер: 239 x 164 x 29
Читательская аудитория: Professional & vocational
Основная тема: Engineering
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:
Adaptive Control of Linear Hyperbolic PDEs provides a comprehensive treatment of adaptive control of linear hyperbolic systems, using the backstepping method. It develops adaptive control strategies for different combinations of measurements and actuators, as well as for a range of different combinations of parameter uncertainty. The book treats boundary control of systems of hyperbolic partial differential equations (PDEs) with uncertain parameters. The authors develop designs for single equations, as well as any number of coupled equations. The designs are accompanied by mathematical proofs, which allow the reader to gain insight into the technical challenges associated with adaptive control of hyperbolic PDEs, and to get an overview of problems that are still open for further research. Although stabilization of unstable systems by boundary control and boundary sensing are the particular focus, state-feedback designs are also presented. The book also includes simulation examples with implementational details and graphical displays, to give readers an insight into the performance of the proposed control algorithms, as well as the computational details involved. A library of MATLAB® code supplies ready-to-use implementations of the control and estimation algorithms developed in the book, allowing readers to tailor controllers for cases of their particular interest with little effort. These implementations can be used for many different applications, including pipe flows, traffic flow, electrical power lines, and more.Adaptive Control of Linear Hyperbolic PDEs is of value to researchers and practitioners in applied mathematics, engineering and physics; it contains a rich set of adaptive control designs, including mathematical proofs and simulation demonstrations. The book is also of interest to students looking to expand their knowledge of hyperbolic PDEs.

Дополнительное описание: Part I: Background.- Chapter 1. Background.- Part II: Scalar systems.- Chapter 2. Introduction.- Chapter 3. Non-adaptive schemes.- Chapter 4. Adaptive state-feedback controller.- Chapter 5. Adaptive output-feedback controller.- Chapter 6. Model reference



Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws

Автор: Rainer Ansorge; Hester Bijl; Andreas Meister; Thom
Название: Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws
ISBN: 3642437745 ISBN-13(EAN): 9783642437748
Издательство: Springer
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Цена: 36197.00 р.
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Описание: This book examines recent developments in the numerics of partial differential equations. It emphasizes methods of high order and applications in computational fluid dynamics.

Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types

Автор: Chun Wen, Guo
Название: Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types
ISBN: 0367454807 ISBN-13(EAN): 9780367454807
Издательство: Taylor&Francis
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Цена: 9492.00 р.
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Описание: This volume deals with first- and second-order complex equations of hyperbolic and mixed types. The authors investigate in detail general boundary value problems for linear and quasilinear complex equations and present some discontinuous boundary value problems for elliptic complex equations. Mixed complex equations are included in the quasilinear

Blowup for Nonlinear Hyperbolic Equations

Автор: Serge Alinhac
Название: Blowup for Nonlinear Hyperbolic Equations
ISBN: 1461275881 ISBN-13(EAN): 9781461275886
Издательство: Springer
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Цена: 14673.00 р.
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Описание: The content of this book corresponds to a one-semester course taught at the University of Paris-Sud (Orsay) in the spring 1994. It is accessible to students or researchers with a basic elementary knowledge of Partial Dif- ferential Equations, especially of hyperbolic PDE (Cauchy problem, wave operator, energy inequality, finite speed of propagation, symmetric systems, etc.). This course is not some final encyclopedic reference gathering all avail- able results. We tried instead to provide a short synthetic view of what we believe are the main results obtained so far, with self-contained proofs. In fact, many of the most important questions in the field are still completely open, and we hope that this monograph will give young mathe- maticians the desire to perform further research. The bibliography, restricted to papers where blowup is explicitly dis- cussed, is the only part we tried to make as complete as possible (despite the new preprints circulating everyday) j the references are generally not mentioned in the text, but in the Notes at the end of each chapter. Basic references corresponding best to the content of these Notes are the books by Courant and Friedrichs CFr], Hormander HoI] and Ho2], Majda Ma] and Smoller Sm], and the survey papers by John J06], Strauss St] and Zuily Zu].

One-Dimensional Hyperbolic Conservation Laws and Their Applications

Автор: Coron Jean-Michel, Li Ta-Tsien, Li Yachun
Название: One-Dimensional Hyperbolic Conservation Laws and Their Applications
ISBN: 9813276177 ISBN-13(EAN): 9789813276178
Издательство: World Scientific Publishing
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Цена: 20592.00 р.
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Описание: 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.

Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-Like Systems Over a Finite Time Horizon: Continuous and Approximation

Автор: Lasiecka I., Triggiani Roberto, Lasiecka Irena
Название: Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-Like Systems Over a Finite Time Horizon: Continuous and Approximation
ISBN: 0521584019 ISBN-13(EAN): 9780521584012
Издательство: Cambridge Academ
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Цена: 23285.00 р.
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Описание: Originally published in 2000, this is the second volume of a comprehensive treatise on the mathematical theory of deterministic control systems modeled by multi-dimensional partial differential equations (distributed parameter systems). Volume 2 presents the optimal control problem over a finite time interval for hyperbolic dynamical systems, including many fascinating results.

Generalized Trigonometric and Hyperbolic Functions

Автор: Mickens
Название: Generalized Trigonometric and Hyperbolic Functions
ISBN: 1138333018 ISBN-13(EAN): 9781138333017
Издательство: Taylor&Francis
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Цена: 24499.00 р.
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Описание: The aim of this book is to highlight, to those in the area of generalized trigonometric functions, of an alternative path to the creation and analysis of these classes of functions.

Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes

Автор: Igor Chudinovich
Название: Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes
ISBN: 1849969469 ISBN-13(EAN): 9781849969468
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Variational and boundary integral equation techniques are two of the most useful methods for solving time-dependent problems described by systems of equations of the form 2 ?

Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics

Автор: Vesna Todor?evi?
Название: Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics
ISBN: 3030225909 ISBN-13(EAN): 9783030225902
Издательство: Springer
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Цена: 9083.00 р.
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Описание: The book presents a research area in geometric function theory concerned with harmonic quasiconformal mappings and hyperbolic type metrics defined on planar and multidimensional domains. The classes of quasiconformal and quasiregular mappings are well established areas of study in this field as these classes are natural and fruitful generalizations of the class of analytic functions in the planar case. The book contains many concrete examples, as well as detailed proofs and explanations of motivations behind given results, gradually bringing the reader to the forefront of current research in the area. This monograph was written for a wide readership from graduate students of mathematical analysis to researchers working in this or related areas of mathematics who want to learn the tools or work on open problems listed in various parts of the book.

Solving hyperbolic equations with finite volume methods

Автор: Vazquez-cendon, M. Elena
Название: Solving hyperbolic equations with finite volume methods
ISBN: 3319147838 ISBN-13(EAN): 9783319147833
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Finite volume methods are used in numerous applications and by a broad multidisciplinary scientific community. The book communicates this important tool to students, researchers in training and academics involved in the training of students in different science and technology fields.

Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

Автор: Alfio Quarteroni; B. Cockburn; C. Johnson; C.-W. S
Название: Advanced Numerical Approximation of Nonlinear Hyperbolic Equations
ISBN: 3540649778 ISBN-13(EAN): 9783540649779
Издательство: Springer
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Цена: 10754.00 р.
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Описание: The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are addressed, in particular high-order shock capturing techniques, discontinuous Galerkin methods, adaptive techniques based upon a-posteriori error analysis.


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