An Introduction To Infinite Dimensional Linear Systems Theory


An Introduction To Infinite Dimensional Linear Systems Theory
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An Introduction To Infinite Dimensional Linear Systems Theory


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 Linear Systems Theory


Infinite Dimensional Linear Systems Theory
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Author : Ruth F. Curtain
language : en
Publisher: Springer
Release Date : 1978

Infinite Dimensional Linear Systems Theory written by Ruth F. Curtain and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Science categories.




Infinite Dimensional Linear Systems Theory


Infinite Dimensional Linear Systems Theory
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Author : R. F. Curtain
language : en
Publisher:
Release Date : 2014-01-15

Infinite Dimensional Linear Systems Theory written by R. F. Curtain 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 Infinite Dimensional Systems Theory


Introduction To Infinite Dimensional Systems Theory
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Author : Ruth Curtain
language : en
Publisher: Springer Nature
Release Date : 2020-04-05

Introduction To Infinite Dimensional Systems Theory written by Ruth Curtain and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-05 with Science categories.


Infinite-dimensional systems is a well established area of research with an ever increasing number of applications. Given this trend, there is a need for an introductory text treating system and control theory for this class of systems in detail. This textbook is suitable for courses focusing on the various aspects of infinite-dimensional state space theory. This book is made accessible for mathematicians and post-graduate engineers with a minimal background in infinite-dimensional system theory. To this end, all the system theoretic concepts introduced throughout the text are illustrated by the same types of examples, namely, diffusion equations, wave and beam equations, delay equations and the new class of platoon-type systems. Other commonly met distributed and delay systems can be found in the exercise sections. Every chapter ends with such a section, containing about 30 exercises testing the theoretical concepts as well. An extensive account of the mathematical background assumed is contained in the appendix.



Linear Port Hamiltonian Systems On Infinite Dimensional Spaces


Linear Port Hamiltonian Systems On Infinite Dimensional Spaces
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Author : Birgit Jacob
language : en
Publisher: Birkhäuser
Release Date : 2012-06-13

Linear Port Hamiltonian Systems On Infinite Dimensional Spaces written by Birgit Jacob and has been published by Birkhäuser 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.



Representation And Control Of Infinite Dimensional Systems


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


Linear Port Hamiltonian Systems On Infinite Dimensional Spaces
DOWNLOAD

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.



Infinite Dimensional Dynamical Systems


Infinite Dimensional Dynamical Systems
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Author : James C. Robinson
language : en
Publisher: Cambridge University Press
Release Date : 2001-04-23

Infinite Dimensional Dynamical Systems written by James C. Robinson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-23 with Mathematics categories.


This book treats the theory of global attractors, a recent development in the theory of partial differential equations, in a way that also includes much of the traditional elements of the subject. As such it gives a quick but directed introduction to some fundamental concepts, and by the end proceeds to current research problems. Since the subject is relatively new, this is the first book to attempt to treat these various topics in a unified and didactic way. It is intended to be suitable for first year graduate students.



Representation And Control Of Infinite Dimensional Systems


Representation And Control Of Infinite Dimensional Systems
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Author : Alain Bensoussan
language : en
Publisher: Birkhäuser
Release Date : 2008-11-01

Representation And Control Of Infinite Dimensional Systems written by Alain Bensoussan and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-01 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.



An Introduction To Infinite Dimensional Dynamical Systems Geometric Theory


An Introduction To Infinite Dimensional Dynamical Systems Geometric Theory
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Author : J.K. Hale
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

An Introduction To Infinite Dimensional Dynamical Systems Geometric Theory written by J.K. Hale 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.


Including: An Introduction to the Homotopy Theory in Noncompact Spaces