Singular Perturbations And Asymptotic Analysis In Control Systems
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Singular Perturbation Methodology In Control Systems
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Author : Desineni S. Naidu
language : en
Publisher: IET
Release Date : 1988
Singular Perturbation Methodology In Control Systems written by Desineni S. Naidu and has been published by IET this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Technology & Engineering categories.
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).
Singular Perturbations And Asymptotic Analysis In Control Systems
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Author : Petar V. Kokotovic
language : en
Publisher: Springer
Release Date : 1987-02-27
Singular Perturbations And Asymptotic Analysis In Control Systems written by Petar V. Kokotovic and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-02-27 with Language Arts & Disciplines categories.
Singular Perturbations In Systems And Control
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Author : Kokotovic Petar V
language : en
Publisher: New York : Institute of Electrical and Electronics Engineers
Release Date : 1986
Singular Perturbations In Systems And Control written by Kokotovic Petar V and has been published by New York : Institute of Electrical and Electronics Engineers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Computers categories.
Very Good,No Highlights or Markup,all pages are intact.
Singular Perturbation Methods In Control
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Author : Petar Kokotovic
language : en
Publisher: SIAM
Release Date : 1999-01-01
Singular Perturbation Methods In Control written by Petar Kokotovic and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Mathematics categories.
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.
Asymptotic Analysis Of Singular Perturbations
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Author : W. Eckhaus
language : en
Publisher: Elsevier
Release Date : 2011-08-30
Asymptotic Analysis Of Singular Perturbations written by W. Eckhaus and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-30 with Mathematics categories.
Asymptotic Analysis of Singular Perturbations
Singularly Perturbed Problems Asymptotic Analysis And Approximate Solution
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Author : Valery Y. Glizer
language : en
Publisher:
Release Date : 2022
Singularly Perturbed Problems Asymptotic Analysis And Approximate Solution written by Valery Y. Glizer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
This book collects papers from the Special Issue "Singularly Perturbed Problems: Asymptotic Analysis and Approximate Solution", published in Axioms. These papers cover different aspects of singular perturbation theory and its applications: axiomatic approach in the analytic theory of singular perturbations; asymptotic solution of various types of singularly perturbed integral-differential and integral equations with weakly and rapidly varying kernels of the integral operators; propagation of two-dimensional periodic perturbations in a viscous continuously stratified fluid; asymptotic analysis of the stochastic linear-quadratic optimal control problem with two fast timescales in the dynamics; asymptotic solution of singularly perturbed Cauchy problem for different types of differential equations with "simple" turning points; asymptotic analysis of the complete Euclidean space controllability for different types of singularly perturbed differential systems with time delays; asymptotic solution of singularly perturbed systems in the critical case by the orthogonal projector method; application of the direct scheme method to asymptotic solution of one class of optimal control problems with three-tempo state variables; asymptotic analysis and solution of a cheap control linear quadratic zero-sum differential game; analysis of asymptotic behavior of the solutions for one class of singularly perturbed Neumann boundary value problems.
Singular Perturbation Analysis Of Discrete Control Systems
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Author : Desineni S. Naidu
language : en
Publisher: Springer
Release Date : 2006-11-14
Singular Perturbation Analysis Of Discrete Control Systems written by Desineni S. Naidu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Science categories.
Two Scale Stochastic Systems
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Author : Yuri Kabanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Two Scale Stochastic Systems written by Yuri Kabanov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
Two-scale systems described by singularly perturbed SDEs have been the subject of ample literature. However, this new monograph develops subjects that were rarely addressed and could be given the collective description "Stochastic Tikhonov-Levinson theory and its applications." The book provides a mathematical apparatus designed to analyze the dynamic behaviour of a randomly perturbed system with fast and slow variables. In contrast to the deterministic Tikhonov-Levinson theory, the basic model is described in a more realistic way by stochastic differential equations. This leads to a number of new theoretical questions but simultaneously allows us to treat in a unified way a surprisingly wide spectrum of applications like fast modulations, approximate filtering, and stochastic approximation.Two-scale systems described by singularly perturbed SDEs have been the subject of ample literature. However, this new monograph develops subjects that were rarely addressed and could be given the collective description "Stochastic Tikhonov-Levinson theory and its applications." The book provides a mathematical apparatus designed to analyze the dynamic behaviour of a randomly perturbed system with fast and slow variables. In contrast to the deterministic Tikhonov-Levinson theory, the basic model is described in a more realistic way by stochastic differential equations. This leads to a number of new theoretical questions but simultaneously allows us to treat in a unified way a surprisingly wide spectrum of applications like fast modulations, approximate filtering, and stochastic approximation.
Singular Perturbations And Hysteresis
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Author : Michael P. Mortell
language : en
Publisher: SIAM
Release Date : 2005-06-01
Singular Perturbations And Hysteresis written by Michael P. Mortell and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-01 with Mathematics categories.
This book unifies many important recent developments in the analysis of singular perturbation and hysteresis phenomena in an accessible and comprehensive fashion. In April 2002 at University College Cork in Ireland, the editors conducted a workshop to provide a forum for experts to share their interests and knowledge. For this book, the editors have compiled research from those practitioners in areas such as reacting systems, semiconductor lasers, shock phenomena in economic modeling, and fluid mechanics, all with an emphasis on hysteresis and singular perturbations. A basic introduction to hysteresis and singular perturbation theory is included, with simple examples from both physics and mathematics. Later chapters address: applications of hysteresis to economics; various aspects of the asymptotic theory of singularly perturbed systems; typical problems of the asymptotic theory of contrast structures; and the geometrical approach to an investigation of models with singular perturbations and hysteresis.
Introduction To Singular Perturbations
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Author : Robert E. Jr. O'Malley
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Introduction To Singular Perturbations written by Robert E. Jr. O'Malley and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.
Introduction to Singular Perturbations provides an overview of the fundamental techniques for obtaining asymptomatic solutions to boundary value problems. This text explores singular perturbation techniques, which are among the basic tools of several applied scientists. This book is organized into eight chapters, wherein Chapter 1 discusses the method of matched asymptomatic expansions, which has been frequently applied to several physical problems involving singular perturbations. Chapter 2 considers the nonlinear initial value problem to illustrate the regular perturbation method, and Chapter 3 explains how to construct asymptotic solutions for general linear equations. Chapter 4 discusses scalar equations and nonlinear system, whereas Chapters 5 and 6 explain the contrasts for initial value problems where the outer expansion cannot be determined without obtaining the initial values of the boundary layer correction. Chapters 7 and 8 deal with boundary value problem that arises in the study of adiabatic tubular chemical flow reactors with axial diffusion. This monograph is a valuable resource for applied mathematicians, engineers, researchers, students, and readers whose interests span a variety of fields.