Download or read book Matrix Methods in Stability Theory by S Barnett and C Storey written by Stephen Barnett and published by . This book was released on 1970 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Matrix Methods in Stability Theory Barnett written by S. Barnett and published by . This book was released on 1970 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Matrix Methods in Stability Theory written by Stephen Barnett and published by . This book was released on 1970 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Matrix Methods in Stability Theory written by Stephen Barnett and published by . This book was released on 1970 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topics in Matrix Analysis written by Roger A. Horn and published by Cambridge University Press. This book was released on 1994-06-24 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats several topics in matrix theory not included in its predecessor volume, Matrix Analysis.
Download or read book Lyapunov Matrix Equation in System Stability and Control written by Zoran Gajic and published by Courier Corporation. This book was released on 2008-01-01 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive treatment provides solutions to many engineering and mathematical problems related to the Lyapunov matrix equation, with self-contained chapters for easy reference. The authors offer a wide variety of techniques for solving and analyzing the algebraic, differential, and difference Lyapunov matrix equations of continuous-time and discrete-time systems. 1995 edition.
Download or read book Matrix Analysis written by Roger A. Horn and published by Cambridge University Press. This book was released on 1990-02-23 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix Analysis presents the classical and recent results for matrix analysis that have proved to be important to applied mathematics.
Download or read book Perturbation Theory for Matrix Equations written by M. Konstantinov and published by Gulf Professional Publishing. This book was released on 2003-05-20 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The perturbation bounds may further be incorporated in accuracy estimates for the solution computed in finite arithmetic. This is necessary for the development of reliable computational methods, algorithms and software from the viewpoint of modern numerical analysis. In this book a general perturbation theory for matrix algebraic equations is presented. Local and non-local perturbation bounds are derived for general types of matrix equations as well as for the most important equations arising in linear algebra and control theory. A large number of examples, tables and figures is included in order to illustrate the perturbation techniques and bounds. Key features: • The first book in this field • Can be used by a variety of specialists • Material is self-contained • Results can be used in the development of reliable computational algorithms • A large number of examples and graphical illustrations are given • Written by prominent specialists in the field
Download or read book Matrix Diagonal Stability in Systems and Computation written by Eugenius Kaszkurewicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a collection of results, observations, and examples related to dynamical systems described by linear and nonlinear ordinary differential and difference equations. In particular, dynamical systems that are susceptible to analysis by the Liapunov approach are considered. The naive observation that certain "diagonal-type" Liapunov functions are ubiquitous in the literature attracted the attention of the authors and led to some natural questions. Why does this happen so often? What are the spe cial virtues of these functions in this context? Do they occur so frequently merely because they belong to the simplest class of Liapunov functions and are thus more convenient, or are there any more specific reasons? This monograph constitutes the authors' synthesis of the work on this subject that has been jointly developed by them, among others, producing and compiling results, properties, and examples for many years, aiming to answer these questions and also to formalize some of the folklore or "cul ture" that has grown around diagonal stability and diagonal-type Liapunov functions. A natural answer to these questions would be that the use of diagonal type Liapunov functions is frequent because of their simplicity within the class of all possible Liapunov functions. This monograph shows that, although this obvious interpretation is often adequate, there are many in stances in which the Liapunov approach is best taken advantage of using diagonal-type Liapunov functions. In fact, they yield necessary and suffi cient stability conditions for some classes of nonlinear dynamical systems.
Download or read book Matrix Mathematics written by Dennis S. Bernstein and published by Princeton University Press. This book was released on 2009-07-06 with total page 1182 pages. Available in PDF, EPUB and Kindle. Book excerpt: When first published in 2005, Matrix Mathematics quickly became the essential reference book for users of matrices in all branches of engineering, science, and applied mathematics. In this fully updated and expanded edition, the author brings together the latest results on matrix theory to make this the most complete, current, and easy-to-use book on matrices. Each chapter describes relevant background theory followed by specialized results. Hundreds of identities, inequalities, and matrix facts are stated clearly and rigorously with cross references, citations to the literature, and illuminating remarks. Beginning with preliminaries on sets, functions, and relations,Matrix Mathematics covers all of the major topics in matrix theory, including matrix transformations; polynomial matrices; matrix decompositions; generalized inverses; Kronecker and Schur algebra; positive-semidefinite matrices; vector and matrix norms; the matrix exponential and stability theory; and linear systems and control theory. Also included are a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. This significantly expanded edition of Matrix Mathematics features a wealth of new material on graphs, scalar identities and inequalities, alternative partial orderings, matrix pencils, finite groups, zeros of multivariable transfer functions, roots of polynomials, convex functions, and matrix norms. Covers hundreds of important and useful results on matrix theory, many never before available in any book Provides a list of symbols and a summary of conventions for easy use Includes an extensive collection of scalar identities and inequalities Features a detailed bibliography and author index with page references Includes an exhaustive subject index with cross-referencing
Download or read book MATRIX AND LINEAR ALGEBRA AIDED WITH MATLAB written by Kanti Bhushan Datta and published by PHI Learning Pvt. Ltd.. This book was released on 2016-12-01 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the inclusion of applications of singular value decomposition (SVD) and principal component analysis (PCA) to image compression and data analysis, this edition provides a strong foundation of linear algebra needed for a higher study in signal processing. The use of MATLAB in the study of linear algebra for a variety of computational purposes and the programmes provided in this text are the most attractive features of this book which strikingly distinguishes it from the existing linear algebra books needed as pre-requisites for the study of engineering subjects. This book is highly suitable for undergraduate as well as postgraduate students of mathematics, statistics, and all engineering disciplines. The book will also be useful to Ph.D. students for relevant mathematical resources.NEW TO THIS EDITION The Third Edition of this book includes: • Simultaneous diagonalization of two diagonalizable matrices • Comprehensive exposition of SVD with applications in shear analysis in engineering • Polar Decomposition of a matrix • Numerical experimentation with a colour and a black-and-white image compression using MATLAB • PCA methods of data analysis and image compression with a list of MATLAB codes
Download or read book Stability by Liapunov s Matrix Function Method with Applications written by A.A. Martynyuk and published by CRC Press. This book was released on 1998-08-03 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides a systematic study of matrix Liapunov functions, incorporating new techniques for the qualitative analysis of nonlinear systems encountered in a wide variety of real-world situations."
Download or read book The Theory of Matrices written by Peter Lancaster and published by Academic Press. This book was released on 1985-05-28 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix algebra; Determinants, inverse matrices, and rank; Linear, euclidean, and unitary spaces; Linear transformations and matrices; Linear transformations in unitary spaces and simple matrices; The jordan canonical form: a geometric approach; Matrix polynomials and normal forms; The variational method; Functions of matrices; Norms and bounds for eigenvalues; Perturbation theory; Linear matrices equations and generalized inverses; Stability problems; Matrix polynomials; Nonnegative matrices.
Download or read book Matrix Theory and Applications for Scientists and Engineers written by Alexander Graham and published by Courier Dover Publications. This book was released on 2018-07-18 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this comprehensive text on matrix theory and its applications, Graham explores the underlying principles as well as the numerous applications of the various concepts presented. Includes numerous problems with solutions. 1979 edition.
Download or read book Theory of Sensitivity in Dynamic Systems written by Mansour Eslami and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive treatment of the development and present state of the theory of sensitivity of dynamic systems. It is intended as a textbook and reference for researchers and scientists in electrical engineering, control and information theory as well as for mathematicians. The extensive and structured bibliography provides an overview of the literature in the field and points out directions for further research.
Download or read book Optimization and Stability Theory for Economic Analysis written by Brian Beavis and published by Cambridge University Press. This book was released on 1990 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a coherent and systematic exposition of the mathematical theory of the problems of optimization and stability. Both of these are topics central to economic analysis since the latter is so much concerned with the optimizing behaviour of economic agents and the stability of the interaction processes to which this gives rise. The topics covered include convexity, mathematical programming, fixed point theorems, comparative static analysis and duality, the stability of dynamic systems, the calculus of variations and optimal control theory. The authors present a more detailed and wide-ranging discussion of these topics than is to be found in the few books which attempt a similar coverage. Although the text deals with fairly advanced material, the mathematical prerequisites are minimised by the inclusion of an integrated mathematical review designed to make the text self-contained and accessible to the reader with only an elementary knowledge of calculus and linear algebra. A novel feature of the book is that it provides the reader with an understanding and feel for the kinds of mathematical techniques most useful for dealing with particular economic problems. This is achieved through an extensive use of a broad range of economic examples (rather than the numerical/algebraic examples so often found). This is suitable for use in advanced undergraduate and postgraduate courses in economic analysis and should in addition prove a useful reference work for practising economists.
Download or read book The Dynamics Of A Capitalist Economy written by Richard M. Goodwin and published by Routledge. This book was released on 2019-09-05 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book Professor Goodwin eschewing fine-scale minutiae or classical mechanics, has addressed the big picture. His work deals with the great issues of: the class struggle a Ia Karl Marx; predator prey dramas of the Lotka- Volterra type; von Neumann's magisterial model of autonomous growth; Harrodian and Sraffian developments of Keynesian systems in their input-output aspects (or accelerator-multiplier aspects). Professor Lionello Punzo of a postwar generation provides additional chapters of multi-sector dynamics, working from and going beyond the aggregate models of Harrod, Domar, and Solow.