Infinite Dimensional Systems
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Stability And Stabilization Of Infinite Dimensional Systems With Applications
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Author : Zheng-Hua Luo
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-01-22
Stability And Stabilization Of Infinite Dimensional Systems With Applications written by Zheng-Hua Luo 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 1999-01-22 with Computers categories.
The time evol11tion of many physical phenomena in nat11re can be de scribed by partial differential eq11ations. To analyze and control the dynamic behavior of s11ch systems. infinite dimensional system theory was developed and has been refined over the past several decades. In recent years. stim11lated by the applications arising from space exploration. a11tomated manufact11ring, and other areas of technological advancement, major progress has been made in both theory and control technology associated with infinite dimensional systems. For example, new conditions in the time domain and frequency domain have been derived which guarantee that a Co-semigroup is exponen tially stable; new feedback control laws helVe been proposed to exponentially ;;tabilize beam. wave, and thermoelastic equations; and new methods have been developed which allow us to show that the spectrum-determined growth condition holds for a wide class of systems. Therefore, there is a need for a reference book which presents these restllts in an integrated fashion. Complementing the existing books, e. g . . [1]. [41]. and [128]. this book reports some recent achievements in stability and feedback stabilization of infinite dimensional systems. In particular, emphasis will be placed on the second order partial differential equations. such as Euler-Bernoulli beam equations. which arise from control of numerous mechanical systems stich as flexible robot arms and large space structures. We will be focusing on new results. most of which are our own recently obtained research results.
An Introduction To Infinite Dimensional Linear Systems Theory
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Author : Ruth F. Curtain
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To Infinite Dimensional Linear Systems Theory written by Ruth F. Curtain 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 2012-12-06 with Mathematics categories.
Infinite dimensional systems is now an established area of research. Given the recent trend in systems theory and in applications towards a synthesis of time- and frequency-domain methods, there is a need for an introductory text which treats both state-space and frequency-domain aspects in an integrated fashion. The authors' primary aim is to write an introductory textbook for a course on infinite dimensional linear systems. An important consideration by the authors is that their book should be accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Consequently, all the mathematical background is summarized in an extensive appendix. For the majority of students, this would be their only acquaintance with infinite dimensional systems.
Infinite Dimensional Dynamical Systems In Mechanics And Physics
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Author : Roger Temam
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-11
Infinite Dimensional Dynamical Systems In Mechanics And Physics written by Roger Temam 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 2013-12-11 with Mathematics categories.
In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.
Representation And Control Of Infinite Dimensional Systems
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Author : Alain Bensoussan
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-05
Representation And Control Of Infinite Dimensional Systems written by Alain Bensoussan 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 2007-04-05 with Technology & Engineering categories.
This unified, revised second edition of a two-volume set is a self-contained account of quadratic cost optimal control for a large class of infinite-dimensional systems. The original editions received outstanding reviews, yet this new edition is more concise and self-contained. New material has been added to reflect the growth in the field over the past decade. There is a unique chapter on semigroup theory of linear operators that brings together advanced concepts and techniques which are usually treated independently. The material on delay systems and structural operators has not yet appeared anywhere in book form.
Linear Port Hamiltonian Systems On Infinite Dimensional Spaces
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Author : Birgit Jacob
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-13
Linear Port Hamiltonian Systems On Infinite Dimensional Spaces written by Birgit Jacob 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 2012-06-13 with Science categories.
This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems. The textbook starts with elementary known results, then progresses smoothly to advanced topics in current research. Many physical systems can be formulated using a Hamiltonian framework, leading to models described by ordinary or partial differential equations. For the purpose of control and for the interconnection of two or more Hamiltonian systems it is essential to take into account this interaction with the environment. This book is the first textbook on infinite-dimensional port-Hamiltonian systems. An abstract functional analytical approach is combined with the physical approach to Hamiltonian systems. This combined approach leads to easily verifiable conditions for well-posedness and stability. The book is accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Moreover, the theory is illustrated by many worked-out examples.
Nearly Integrable Infinite Dimensional Hamiltonian Systems
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Author : Sergej B. Kuksin
language : en
Publisher:
Release Date : 2014-01-15
Nearly Integrable Infinite Dimensional Hamiltonian Systems written by Sergej B. Kuksin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Infinite Dimensional Systems
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Author : Franz Kappel
language : en
Publisher:
Release Date : 2014-01-15
Infinite Dimensional Systems written by Franz Kappel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Dynamics Of Infinite Dimensional Systems
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Author : Shui-Nee Chow
language : en
Publisher:
Release Date : 2014-01-15
Dynamics Of Infinite Dimensional Systems written by Shui-Nee Chow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Introduction To The Theory Of Infinite Dimensional Dissipative Systems
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Author : Igor' D. Čuešov
language : en
Publisher: "Acta" publishers
Release Date : 2002
Introduction To The Theory Of Infinite Dimensional Dissipative Systems written by Igor' D. Čuešov and has been published by "Acta" publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Differentiable dynamical systems categories.
Stability Of Finite And Infinite Dimensional Systems
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Author : Michael I. Gil'
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Stability Of Finite And Infinite Dimensional Systems written by Michael I. Gil' 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 2012-12-06 with Mathematics categories.
The aim of Stability of Finite and Infinite Dimensional Systems is to provide new tools for specialists in control system theory, stability theory of ordinary and partial differential equations, and differential-delay equations. Stability of Finite and Infinite Dimensional Systems is the first book that gives a systematic exposition of the approach to stability analysis which is based on estimates for matrix-valued and operator-valued functions, allowing us to investigate various classes of finite and infinite dimensional systems from the unified viewpoint. This book contains solutions to the problems connected with the Aizerman and generalized Aizerman conjectures and presents fundamental results by A. Yu. Levin for the stability of nonautonomous systems having variable real characteristic roots. Stability of Finite and Infinite Dimensional Systems is intended not only for specialists in stability theory, but for anyone interested in various applications who has had at least a first-year graduate-level course in analysis.