A Practical Guide To Geometric Regulation For Distributed Parameter Systems
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A Practical Guide To Geometric Regulation For Distributed Parameter Systems
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Author : Eugenio Aulisa
language : en
Publisher: CRC Press
Release Date : 2015-06-18
A Practical Guide To Geometric Regulation For Distributed Parameter Systems written by Eugenio Aulisa and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-18 with Mathematics categories.
A Practical Guide to Geometric Regulation for Distributed Parameter Systems provides an introduction to geometric control design methodologies for asymptotic tracking and disturbance rejection of infinite-dimensional systems. The book also introduces several new control algorithms inspired by geometric invariance and asymptotic attraction for a wid
A Practical Guide To Geometric Regulation For Distributed Parameter Systems
DOWNLOAD
Author : Eugenio Aulisa
language : en
Publisher: CRC Press
Release Date : 2015-06-18
A Practical Guide To Geometric Regulation For Distributed Parameter Systems written by Eugenio Aulisa and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-18 with Mathematics categories.
A Practical Guide to Geometric Regulation for Distributed Parameter Systems provides an introduction to geometric control design methodologies for asymptotic tracking and disturbance rejection of infinite-dimensional systems. The book also introduces several new control algorithms inspired by geometric invariance and asymptotic attraction for a wide range of dynamical control systems. The first part of the book is devoted to regulation of linear systems, beginning with the mathematical setup, general theory, and solution strategy for regulation problems with bounded input and output operators. The book then considers the more interesting case of unbounded control and sensing. Mathematically, this case is more complicated and general theorems in this area have become available only recently. The authors also provide a collection of interesting linear regulation examples from physics and engineering. The second part focuses on regulation for nonlinear systems. It begins with a discussion of theoretical results, characterizing solvability of nonlinear regulator problems with bounded input and output operators. The book progresses to problems for which the geometric theory based on center manifolds does not directly apply. The authors show how the idea of attractive invariance can be used to solve a series of increasingly complex regulation problems. The book concludes with the solutions of challenging nonlinear regulation examples from physics and engineering.
Willmore Energy And Willmore Conjecture
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Author : Magdalena D. Toda
language : en
Publisher: CRC Press
Release Date : 2017-10-30
Willmore Energy And Willmore Conjecture written by Magdalena D. Toda and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-30 with Mathematics categories.
This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential geometry. While it focuses on Willmore energy and related conjectures, it also sits at the intersection between integrable systems, harmonic maps, Lie groups, calculus of variations, geometric analysis and applied differential geometry. Rather than reproducing published results, it presents new directions, developments and open problems. It addresses questions like: What is new in Willmore theory? Are there any new Willmore conjectures and open problems? What are the contemporary applications of Willmore surfaces? As well as mathematicians and physicists, this book is a useful tool for postdoctoral researchers and advanced graduate students working in this area.
Variational Hemivariational Inequalities With Applications
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Author : Mircea Sofonea
language : en
Publisher: CRC Press
Release Date : 2017-10-23
Variational Hemivariational Inequalities With Applications written by Mircea Sofonea and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-23 with Mathematics categories.
This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechanics. Based on authors’ original results, it introduces a general fixed point principle and its application to various nonlinear problems in analysis and mechanics. The classes of history-dependent operators and almost history-dependent operators are exposed in a large generality. A systematic and unified presentation contains a carefully-selected collection of new results on variational-hemivariational inequalities with or without unilateral constraints. A wide spectrum of static, quasistatic, dynamic contact problems for elastic, viscoelastic and viscoplastic materials illustrates the applicability of these theoretical results. Written for mathematicians, applied mathematicians, engineers and scientists, it is also a valuable tool for graduate students and researchers in nonlinear analysis, mathematical modelling, mechanics of solids, and contact mechanics.
Noncommutative Deformation Theory
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Author : Eivind Eriksen
language : en
Publisher: CRC Press
Release Date : 2017-09-19
Noncommutative Deformation Theory written by Eivind Eriksen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-19 with Mathematics categories.
Noncommutative Deformation Theory is aimed at mathematicians and physicists studying the local structure of moduli spaces in algebraic geometry. This book introduces a general theory of noncommutative deformations, with applications to the study of moduli spaces of representations of associative algebras and to quantum theory in physics. An essential part of this theory is the study of obstructions of liftings of representations using generalised (matric) Massey products. Suitable for researchers in algebraic geometry and mathematical physics interested in the workings of noncommutative algebraic geometry, it may also be useful for advanced graduate students in these fields.
Bounds For Determinants Of Linear Operators And Their Applications
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Author : Michael Gil'
language : en
Publisher: CRC Press
Release Date : 2017-03-03
Bounds For Determinants Of Linear Operators And Their Applications written by Michael Gil' and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-03 with Mathematics categories.
This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces. Determinants of operators give us an important tool for solving linear equations and invertibility conditions for linear operators, enable us to describe the spectra, to evaluate the multiplicities of eigenvalues, etc. We derive upper and lower bounds, and perturbation results for determinants, and discuss applications of our theoretical results to spectrum perturbations, matrix equations, two parameter eigenvalue problems, as well as to differential, difference and functional-differential equations.
Spectral And Scattering Theory For Second Order Partial Differential Operators
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Author : Kiyoshi Mochizuki
language : en
Publisher: CRC Press
Release Date : 2017-06-01
Spectral And Scattering Theory For Second Order Partial Differential Operators written by Kiyoshi Mochizuki and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-01 with Mathematics categories.
The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who want to apply the spectral theory of second order differential operators in exterior domains to their own field. In the first half of this book, the classical results of spectral and scattering theory: the selfadjointness, essential spectrum, absolute continuity of the continuous spectrum, spectral representations, short-range and long-range scattering are summarized. In the second half, recent results: scattering of Schrodinger operators on a star graph, uniform resolvent estimates, smoothing properties and Strichartz estimates, and some applications are discussed.
Optimization And Differentiation
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Author : Simon Serovajsky
language : en
Publisher: CRC Press
Release Date : 2017-09-13
Optimization And Differentiation written by Simon Serovajsky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-13 with Mathematics categories.
Optimization and Differentiation is an introduction to the application of optimization control theory to systems described by nonlinear partial differential equations. As well as offering a useful reference work for researchers in these fields, it is also suitable for graduate students of optimal control theory.
Elements Of Quasigroup Theory And Applications
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Author : Victor Shcherbacov
language : en
Publisher: CRC Press
Release Date : 2017-05-12
Elements Of Quasigroup Theory And Applications written by Victor Shcherbacov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-12 with Computers categories.
This book provides an introduction to quasigroup theory along with new structural results on some of the quasigroup classes. Many results are presented with some of them from mathematicians of the former USSR. These included results have not been published before in the western mathematical literature. In addition, many of the achievements obtained with regard to applications of quasigroups in coding theory and cryptology are described.
Nonlinear Reaction Diffusion Convection Equations
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Author : Roman Cherniha
language : en
Publisher: CRC Press
Release Date : 2017-11-02
Nonlinear Reaction Diffusion Convection Equations written by Roman Cherniha and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-02 with Mathematics categories.
It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. This book is devoted to (1) search Lie and conditional (non-classical) symmetries of nonlinear RDC equations, (2) constructing exact solutions using the symmetries obtained, and (3) their applications for solving some biologically and physically motivated problems. The book summarises the results derived by the authors during the last 10 years and those obtained by some other authors.