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Implicit Linear Systems
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Book Synopsis Implicit Linear Systems by : J. Dwight Aplevich
Download or read book Implicit Linear Systems written by J. Dwight Aplevich and published by Berlin : Springer-Verlag. This book was released on 1991 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic and Geometric Methods and Problems for Implicit Linear Systems by : Dimitris Vafiadis
Download or read book Algebraic and Geometric Methods and Problems for Implicit Linear Systems written by Dimitris Vafiadis and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Implicit Partial Differential Equations by : Bernard Dacorogna
Download or read book Implicit Partial Differential Equations written by Bernard Dacorogna and published by Springer Science & Business Media. This book was released on 1999-08-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear partial differential equations has become one of the main tools of mod ern mathematical analysis; in spite of seemingly contradictory terminology, the subject of nonlinear differential equations finds its origins in the theory of linear differential equations, and a large part of functional analysis derived its inspiration from the study of linear pdes. In recent years, several mathematicians have investigated nonlinear equations, particularly those of the second order, both linear and nonlinear and either in divergence or nondivergence form. Quasilinear and fully nonlinear differential equations are relevant classes of such equations and have been widely examined in the mathematical literature. In this work we present a new family of differential equations called "implicit partial differential equations", described in detail in the introduction (c.f. Chapter 1). It is a class of nonlinear equations that does not include the family of fully nonlinear elliptic pdes. We present a new functional analytic method based on the Baire category theorem for handling the existence of almost everywhere solutions of these implicit equations. The results have been obtained for the most part in recent years and have important applications to the calculus of variations, nonlin ear elasticity, problems of phase transitions and optimal design; some results have not been published elsewhere.
Book Synopsis Analytic Linear Systems of Differential Equations in Implicit Form by : Richard J. Hanson
Download or read book Analytic Linear Systems of Differential Equations in Implicit Form written by Richard J. Hanson and published by . This book was released on 1966 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Implicit Functions and Solution Mappings by : Asen L. Dontchev
Download or read book Implicit Functions and Solution Mappings written by Asen L. Dontchev and published by Springer. This book was released on 2014-06-18 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This second edition of Implicit Functions and Solution Mappings presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. The purpose of this self-contained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature. Updates to this edition include new sections in almost all chapters, new exercises and examples, updated commentaries to chapters and an enlarged index and references section.
Book Synopsis On Perturbations of Controllable Implicit Linear Systems by : Andrzej Banaszuk
Download or read book On Perturbations of Controllable Implicit Linear Systems written by Andrzej Banaszuk and published by . This book was released on 1995 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis High-Gain Observers in Nonlinear Feedback Control by : Hassan H. Khalil
Download or read book High-Gain Observers in Nonlinear Feedback Control written by Hassan H. Khalil and published by SIAM. This book was released on 2017-06-23 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: For over a quarter of a century, high-gain observers have been used extensively in the design of output feedback control of nonlinear systems. This book presents a clear, unified treatment of the theory of high-gain observers and their use in feedback control. Also provided is a discussion of the separation principle for nonlinear systems; this differs from other separation results in the literature in that recovery of stability as well as performance of state feedback controllers is given. The author provides a detailed discussion of applications of high-gain observers to adaptive control and regulation problems and recent results on the extended high-gain observers. In addition, the author addresses two challenges that face the implementation of high-gain observers: high dimension and measurement noise. Low-power observers are presented for high-dimensional systems. The effect of measurement noise is characterized and techniques to reduce that effect are presented. The book ends with discussion of digital implementation of the observers. Readers will find comprehensive coverage of the main results on high-gain observers; rigorous, self-contained proofs of all results; and numerous examples that illustrate and provide motivation for the results. The book is intended for engineers and applied mathematicians who design or research feedback control systems.
Book Synopsis The Implicit Function Theorem by : Steven G. Krantz
Download or read book The Implicit Function Theorem written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2012-11-09 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric analysis. There are many different forms of the implicit function theorem, including (i) the classical formulation for Ck functions, (ii) formulations in other function spaces, (iii) formulations for non-smooth function, and (iv) formulations for functions with degenerate Jacobian. Particularly powerful implicit function theorems, such as the Nash–Moser theorem, have been developed for specific applications (e.g., the imbedding of Riemannian manifolds). All of these topics, and many more, are treated in the present uncorrected reprint of this classic monograph. Originally published in 2002, The Implicit Function Theorem is an accessible and thorough treatment of implicit and inverse function theorems and their applications. It will be of interest to mathematicians, graduate/advanced undergraduate students, and to those who apply mathematics. The book unifies disparate ideas that have played an important role in modern mathematics. It serves to document and place in context a substantial body of mathematical ideas.
Book Synopsis Localized Linear Systems in Implicit Time Stepping for Advection-Diffusion-Reaction Equations by : Soham M. Sheth
Download or read book Localized Linear Systems in Implicit Time Stepping for Advection-Diffusion-Reaction Equations written by Soham M. Sheth and published by . This book was released on 2018 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Iterative Methods for Sparse Linear Systems by : Yousef Saad
Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.
Book Synopsis Implicit Partial Differential Equations by : Bernard Dacorogna
Download or read book Implicit Partial Differential Equations written by Bernard Dacorogna and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear partial differential equations has become one of the main tools of mod ern mathematical analysis; in spite of seemingly contradictory terminology, the subject of nonlinear differential equations finds its origins in the theory of linear differential equations, and a large part of functional analysis derived its inspiration from the study of linear pdes. In recent years, several mathematicians have investigated nonlinear equations, particularly those of the second order, both linear and nonlinear and either in divergence or nondivergence form. Quasilinear and fully nonlinear differential equations are relevant classes of such equations and have been widely examined in the mathematical literature. In this work we present a new family of differential equations called "implicit partial differential equations", described in detail in the introduction (c.f. Chapter 1). It is a class of nonlinear equations that does not include the family of fully nonlinear elliptic pdes. We present a new functional analytic method based on the Baire category theorem for handling the existence of almost everywhere solutions of these implicit equations. The results have been obtained for the most part in recent years and have important applications to the calculus of variations, nonlin ear elasticity, problems of phase transitions and optimal design; some results have not been published elsewhere.
Book Synopsis The Implicit LL"T Algorithm for Sparse Nested Dissection Linear Systems by : M. Zhu
Download or read book The Implicit LL"T Algorithm for Sparse Nested Dissection Linear Systems written by M. Zhu and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Solving Large Linear Systems in an Implicit Thermaohaline Ocean Model by : Arie Christiaan de Niet
Download or read book Solving Large Linear Systems in an Implicit Thermaohaline Ocean Model written by Arie Christiaan de Niet and published by . This book was released on 2007 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of Hybrid Systems Control by : Jan Lunze
Download or read book Handbook of Hybrid Systems Control written by Jan Lunze and published by Cambridge University Press. This book was released on 2009-10-15 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sets out core theory and reviews new methods and applications to show how hybrid systems can be modelled and understood.
Book Synopsis An Implicit Iterative Scheme for Solving Large Systems of Linear Equations by : J. M. Barry
Download or read book An Implicit Iterative Scheme for Solving Large Systems of Linear Equations written by J. M. Barry and published by . This book was released on 1986 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stabilization of Linear Systems by : Vasile Dragan
Download or read book Stabilization of Linear Systems written by Vasile Dragan and published by Springer Science & Business Media. This book was released on 1999-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the main problems in control theory is the stabilization problem consisting of finding a feedback control law ensuring stability; when the linear approximation is considered, the nat ural problem is stabilization of a linear system by linear state feedback or by using a linear dynamic controller. This prob lem was intensively studied during the last decades and many important results have been obtained. The present monograph is based mainly on results obtained by the authors. It focuses on stabilization of systems with slow and fast motions, on stabilization procedures that use only poor information about the system (high-gain stabilization and adaptive stabilization), and also on discrete time implementa tion of the stabilizing procedures. These topics are important in many applications of stabilization theory. We hope that this monograph may illustrate the way in which mathematical theories do influence advanced technol ogy. This book is not intended to be a text book nor a guide for control-designers. In engineering practice, control-design is a very complex task in which stability is only one of the re quirements and many aspects and facets of the problem have to be taken into consideration. Even if we restrict ourselves to stabilization, the book does not provide just recipes, but it fo cuses more on the ideas lying behind the recipes. In short, this is not a book on control, but on some mathematics of control.
Book Synopsis Matrix Analysis for Scientists and Engineers by : Alan J. Laub
Download or read book Matrix Analysis for Scientists and Engineers written by Alan J. Laub and published by SIAM. This book was released on 2005-01-01 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Prerequisites for using this text are knowledge of calculus and some previous exposure to matrices and linear algebra, including, for example, a basic knowledge of determinants, singularity of matrices, eigenvalues and eigenvectors, and positive definite matrices. There are exercises at the end of each chapter."--BOOK JACKET.