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Perturbation Methods in Matrix Analysis and Control, Mihail M. Konstantinov


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Автор: Mihail M. Konstantinov
Название:  Perturbation Methods in Matrix Analysis and Control
ISBN: 9781536174700
Издательство: Nova Science
Классификация:

ISBN-10: 153617470X
Обложка/Формат: Hardback
Страницы: 281
Вес: 0.58 кг.
Дата издания: 06.04.2020
Серия: Mathematics
Язык: English
Размер: 158 x 231 x 23
Читательская аудитория: Postgraduate, research & scholarly
Ключевые слова: Mathematics
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Поставляется из: Англии
Описание: The book presents a unified approach to the perturbation analysis in Matrix Analysis and Control, based on the method of splitting operators and Lyapunov majorant functions. Combined with the Schauder or Banach fixed point principles, this approach allows to obtain rigorous non-local perturbation bounds for a set of important objects in Linear Algebra and Control Theory. Among them are the Schur system of a matrix, the QR decomposition of a matrix, the orthogonal canonical forms of time-invariant linear systems, the state and output feedback gains in pole assignment design, the generalized Schur system of a pair of matrices, the Hamiltonian-Schur and block Hamiltonian-Schur forms of Hamiltonian matrices, and others. In this way, the approach proposed can be used as a unified tool in deriving asymptotic and nonlocal perturbation bounds in matrix analysis and control theory. An important technique of the method considered is the construction of an operator equation, which is equivalent to the perturbed problem. It is based on the splitting of a certain linear matrix operator and its argument into strictly lower, diagonal and strictly upper parts, respectively. This allows to unify the perturbation analysis of matrix problems, involving unitary matrices, in which the resulting matrix is upper triangular. Some other issues such as perturbation analysis of problems with non-unique solution and construction of improved asymptotic perturbation bounds are also considered. The book is intended as a reference in the area of matrix computations and control theory. It will be of interest to researchers in the area of matrix analysis, linear control theory and applied mathematics. The book may also be useful for graduate students in the area of applied mathematics.

Introduction to Perturbation Methods

Автор: Holmes Mark H
Название: Introduction to Perturbation Methods
ISBN: 146145476X ISBN-13(EAN): 9781461454762
Издательство: Springer
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Цена: 39130.00 T
Наличие на складе: Есть
Описание: Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.One hundred new pages added including new material on transcedentally small terms, Kummer`s function, weakly coupled oscillators and wave interactions.

Fitted Numerical Methods For Singular Perturbation Problems: Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions (Revised Edition)

Автор: Miller J J H Et Al
Название: Fitted Numerical Methods For Singular Perturbation Problems: Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions (Revised Edition)
ISBN: 9814390739 ISBN-13(EAN): 9789814390736
Издательство: World Scientific Publishing
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Цена: 79200.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. This book offers an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. It can be used as an introductory text to the theory underpinning fitted mesh methods.

Singular Perturbation Analysis of Discrete Control Systems

Автор: Desineni S. Naidu; Ayalasomayajula K. Rao
Название: Singular Perturbation Analysis of Discrete Control Systems
ISBN: 3540159819 ISBN-13(EAN): 9783540159810
Издательство: Springer
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Цена: 23250.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.

Applied orbit perturbation and maintenance /

Автор: Chao, Chia-Chun,
Название: Applied orbit perturbation and maintenance /
ISBN: 1884989276 ISBN-13(EAN): 9781884989278
Издательство: Marston Book Services
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Цена: 113520.00 T
Наличие на складе: Невозможна поставка.
Описание: The first edition of this book summarized the perturbation theories and control (station keeping) algorithms needed to understand the dynamics, stability, and maintenance of those orbits. This second edition contains three new chapters that will enrich the reader`s understanding of major perturbation theories through illuminating derivations.

Perturbation Analysis of Discrete Event Dynamic Systems

Автор: Yu-Chi (Larry) Ho; Xi-Ren Cao
Название: Perturbation Analysis of Discrete Event Dynamic Systems
ISBN: 1461367999 ISBN-13(EAN): 9781461367994
Издательство: Springer
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Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Dynamic Systems (DEDS) are almost endless: military C31 Ilogistic systems, the emergency ward of a metropolitan hospital, back offices of large insurance and brokerage fums, service and spare part operations of multinational fums . Yet DEDS is a relatively new phenomenon in dynamic systems studies.

Perturbation Analysis of Optimization Problems

Автор: J.Frederic Bonnans; Alexander Shapiro
Название: Perturbation Analysis of Optimization Problems
ISBN: 1461271290 ISBN-13(EAN): 9781461271291
Издательство: Springer
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Цена: 214280.00 T
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Описание: The main subject of this book is perturbation analysis of continuous optimization problems. In the last two decades considerable progress has been made in that area, and it seems that it is time now to present a synthetic view of many important results that apply to various classes of problems. The model problem that is considered throughout the book is of the form (P) Min/(x) subjectto G(x) E K. xeX Here X and Y are Banach spaces, K is a closed convex subset of Y, and /: X -+ IR and G: X -+ Y are called the objective function and the constraint mapping, respectively. We also consider a parameteriZed version (P ) of the above u problem, where the objective function / (x, u) and the constraint mapping G(x, u) are parameterized by a vector u varying in a Banach space U. Our aim is to study continuity and differentiability properties of the optimal value v(u) and the set S(u) of optimal solutions of (P ) viewed as functions of the parameter vector u.

Max-Plus Linear Stochastic Systems and Perturbation Analysis

Автор: Bernd F. Heidergott
Название: Max-Plus Linear Stochastic Systems and Perturbation Analysis
ISBN: 1441941983 ISBN-13(EAN): 9781441941985
Издательство: Springer
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Цена: 153720.00 T
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Описание: This book provides a thorough review and explanation of the theory of stochastic max-plus linear systems, which has seen rapid advances in the last decade.

Perturbation Analysis of Discrete Event Dynamic Systems

Автор: Yu-Chi (Larry) Ho; Xi-Ren Cao
Название: Perturbation Analysis of Discrete Event Dynamic Systems
ISBN: 0792391748 ISBN-13(EAN): 9780792391746
Издательство: Springer
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Цена: 204040.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Dynamic Systems (DEDS) are almost endless: military C31 Ilogistic systems, the emergency ward of a metropolitan hospital, back offices of large insurance and brokerage fums, service and spare part operations of multinational fums . Yet DEDS is a relatively new phenomenon in dynamic systems studies.

Stochastic Simulation Optimization for Discrete Event Systems: Perturbation Analysis, Ordinal Optimization and Beyond

Автор: Chen Chun-Hung, Jia Qing-Shan, Lee Loo Hay
Название: Stochastic Simulation Optimization for Discrete Event Systems: Perturbation Analysis, Ordinal Optimization and Beyond
ISBN: 9814513008 ISBN-13(EAN): 9789814513005
Издательство: World Scientific Publishing
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Цена: 85530.00 T
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Описание: Discrete event systems (DES) have become pervasive in our daily lives. Examples include (but are not restricted to) manufacturing and supply chains, transportation, healthcare, call centers, and financial engineering. However, due to their complexities that often involve millions or even billions of events with many variables and constraints, modeling these stochastic simulations has long been a "hard nut to crack." The advance in available computer technology, especially of cluster and cloud computing, has paved the way for the realization of a number of stochastic simulation optimization for complex discrete event systems. This book will introduce two important techniques initially proposed and developed by Professor Y C Ho and his team; namely perturbation analysis and ordinal optimization for stochastic simulation optimization, and present the state-of-the-art technology, and their future research directions.

Gradient Estimation Via Perturbation Analysis

Автор: Paul Glasserman
Название: Gradient Estimation Via Perturbation Analysis
ISBN: 0792390954 ISBN-13(EAN): 9780792390954
Издательство: Springer
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Цена: 153690.00 T
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Localization and Perturbation of Zeros of Entire Functions

Автор: Gil`
Название: Localization and Perturbation of Zeros of Entire Functions
ISBN: 1138116785 ISBN-13(EAN): 9781138116788
Издательство: Taylor&Francis
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Цена: 81650.00 T
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Описание:

One of the most important problems in the theory of entire functions is the distribution of the zeros of entire functions. Localization and Perturbation of Zeros of Entire Functions is the first book to provide a systematic exposition of the bounds for the zeros of entire functions and variations of zeros under perturbations. It also offers a new approach to the investigation of entire functions based on recent estimates for the resolvents of compact operators.

After presenting results about finite matrices and the spectral theory of compact operators in a Hilbert space, the book covers the basic concepts and classical theorems of the theory of entire functions. It discusses various inequalities for the zeros of polynomials, inequalities for the counting function of the zeros, and the variations of the zeros of finite-order entire functions under perturbations. The text then develops the perturbation results in the case of entire functions whose order is less than two, presents results on exponential-type entire functions, and obtains explicit bounds for the zeros of quasipolynomials. The author also offers additional results on the zeros of entire functions and explores polynomials with matrix coefficients, before concluding with entire matrix-valued functions.

This work is one of the first to systematically take the operator approach to the theory of analytic functions.


Perturbation Methods in Applied Mathematics

Автор: J. Kevorkian; J.D. Cole
Название: Perturbation Methods in Applied Mathematics
ISBN: 144192812X ISBN-13(EAN): 9781441928122
Издательство: Springer
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Цена: 121110.00 T
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Описание: The basic ideas, however, are also applicable to integral equations, integrodifferential equations, and even to_difference equations.


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