Perturbation Methods In Matrix Analysis And Control PDF Download
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| Author | : Mihail M. Konstantinov |
| Publisher | : Nova Science Publishers |
| Total Pages | : 281 |
| Release | : 2020-04-06 |
| Genre | : Control theory |
| ISBN | : 9781536174700 |
Download Perturbation Methods in Matrix Analysis and Control Book in PDF, ePub and Kindle
Notation and preliminaries -- Perturbation problems -- Splitting operators and Lyapunov majorants -- Schur decomposition -- Hamiltonian matrices : basic relations -- Hamiltonian matrices : asymptotic analysis -- Hamiltonian matrices : non-local analysis -- Orthogonal canonical forms -- Feedback synthesis problem.
| Author | : Petar Kokotovic |
| Publisher | : SIAM |
| Total Pages | : 386 |
| Release | : 1999-01-01 |
| Genre | : Mathematics |
| ISBN | : 9781611971118 |
Download Singular Perturbation Methods in Control Book in PDF, ePub and Kindle
Singular perturbations and time-scale techniques were introduced to control engineering in the late 1960s and have since become common tools for the modeling, analysis, and design of control systems. In this SIAM Classics edition of the 1986 book, the original text is reprinted in its entirety (along with a new preface), providing once again the theoretical foundation for representative control applications. This book continues to be essential in many ways. It lays down the foundation of singular perturbation theory for linear and nonlinear systems, it presents the methodology in a pedagogical way that is not available anywhere else, and it illustrates the theory with many solved examples, including various physical examples and applications. So while new developments may go beyond the topics covered in this book, they are still based on the methodology described here, which continues to be their common starting point.
| Author | : M. Konstantinov |
| Publisher | : Gulf Professional Publishing |
| Total Pages | : 443 |
| Release | : 2003-05-20 |
| Genre | : Mathematics |
| ISBN | : 0080538673 |
Download Perturbation Theory for Matrix Equations Book in PDF, ePub and Kindle
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
| Author | : Desineni S. Naidu |
| Publisher | : IET |
| Total Pages | : 314 |
| Release | : 1988 |
| Genre | : Technology & Engineering |
| ISBN | : 9780863411076 |
Download Singular Perturbation Methodology in Control Systems Book in PDF, ePub and Kindle
This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. The heart of the book is the singularly perturbed optimal control systems, which are notorious for demanding excessive computational costs. The book addresses both continuous control systems (described by differential equations) and discrete control systems (characterised by difference equations).
| Author | : Alain Bensoussan |
| Publisher | : Wiley |
| Total Pages | : 588 |
| Release | : 1988-06-23 |
| Genre | : Mathematics |
| ISBN | : 9780471919940 |
Download Perturbation Methods in Optimal Control Book in PDF, ePub and Kindle
Describes, analyzes, and generalizes the principal results concerning perturbation methods in optimal control for systems governed by deterministic or stochastic differential equations. Covers the most important theorems in deterministic and stochastic optimal control, the theory of ergodic control, and the use of control, including regular perturbations and singular perturbations.
| Author | : Ali H. Nayfeh |
| Publisher | : John Wiley & Sons |
| Total Pages | : 437 |
| Release | : 2008-09-26 |
| Genre | : Science |
| ISBN | : 3527617612 |
Download Perturbation Methods Book in PDF, ePub and Kindle
The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: T. W. Anderson The Statistical Analysis of Time Series T. S. Arthanari & Yadolah Dodge Mathematical Programming in Statistics Emil Artin Geometric Algebra Norman T. J. Bailey The Elements of Stochastic Processes with Applications to the Natural Sciences Robert G. Bartle The Elements of Integration and Lebesgue Measure George E. P. Box & Norman R. Draper Evolutionary Operation: A Statistical Method for Process Improvement George E. P. Box & George C. Tiao Bayesian Inference in Statistical Analysis R. W. Carter Finite Groups of Lie Type: Conjugacy Classes and Complex Characters R. W. Carter Simple Groups of Lie Type William G. Cochran & Gertrude M. Cox Experimental Designs, Second Edition Richard Courant Differential and Integral Calculus, Volume I RIchard Courant Differential and Integral Calculus, Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume II D. R. Cox Planning of Experiments Harold S. M. Coxeter Introduction to Geometry, Second Edition Charles W. Curtis & Irving Reiner Representation Theory of Finite Groups and Associative Algebras Charles W. Curtis & Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume I Charles W. Curtis & Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume II Cuthbert Daniel Fitting Equations to Data: Computer Analysis of Multifactor Data, Second Edition Bruno de Finetti Theory of Probability, Volume I Bruno de Finetti Theory of Probability, Volume 2 W. Edwards Deming Sample Design in Business Research
| Author | : Desineni S. Naidu |
| Publisher | : Springer |
| Total Pages | : 204 |
| Release | : 2006-11-14 |
| Genre | : Science |
| ISBN | : 3540396810 |
Download Singular Perturbation Analysis of Discrete Control Systems Book in PDF, ePub and Kindle
| Author | : İlkay Bakırtaş |
| Publisher | : BoD – Books on Demand |
| Total Pages | : 170 |
| Release | : 2018-10-17 |
| Genre | : Mathematics |
| ISBN | : 1789842557 |
Download Perturbation Methods with Applications in Science and Engineering Book in PDF, ePub and Kindle
The governing equations of mathematical, chemical, biological, mechanical and economical models are often nonlinear and too complex to be solved analytically. Perturbation theory provides effective tools for obtaining approximate analytical solutions to a wide variety of such nonlinear problems, which may include differential or difference equations. In this book, we aim to present the recent developments and applications of the perturbation theory for treating problems in applied mathematics, physics and engineering. The eight chapters cover a variety of topics related to perturbation methods. The book is intended to draw attention of researchers and scientist in academia and industry.
| Author | : Petar V. Kokotovic |
| Publisher | : Springer |
| Total Pages | : 432 |
| Release | : 1987-02-27 |
| Genre | : Language Arts & Disciplines |
| ISBN | : |
Download Singular Perturbations and Asymptotic Analysis in Control Systems Book in PDF, ePub and Kindle
| Author | : Biswa Datta |
| Publisher | : Academic Press |
| Total Pages | : 737 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 0122035909 |
Download Numerical Methods for Linear Control Systems Book in PDF, ePub and Kindle
Numerical Methods for Linear Control Systems Design and Analysis is an interdisciplinary textbook aimed at systematic descriptions and implementations of numerically-viable algorithms based on well-established, efficient and stable modern numerical linear techniques for mathematical problems arising in the design and analysis of linear control systems both for the first- and second-order models. Unique coverage of modern mathematical concepts such as parallel computations, second-order systems, and large-scale solutions Background material in linear algebra, numerical linear algebra, and control theory included in text Step-by-step explanations of the algorithms and examples
