Finite Dimensional Linear Systems

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Finite Dimensional Linear Systems

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Author : Roger W. Brockett
language : en
Publisher: SIAM
Release Date : 2015-05-26

Finite Dimensional Linear Systems written by Roger W. Brockett and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-26 with Mathematics categories.

Originally published in 1970, Finite Dimensional Linear Systems is a classic textbook that provides a solid foundation for learning about dynamical systems and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of control theory for 50 years and has served as the springboard for many significant developments, all the while remaining impervious to change. Since linearity lies at the heart of much of the mathematical analysis used in applications, a firm grounding in its central ideas is essential. This book touches upon many of the standard topics in applied mathematics, develops the theory of linear systems in a systematic way, making as much use as possible of vector ideas, and contains a number of nontrivial examples and many exercises.

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.

On Various Topologies For Finite Dimensional Linear Systems

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Author : Heide Glüsing-Lüerßen
language : de
Publisher:
Release Date : 1992

On Various Topologies For Finite Dimensional Linear Systems written by Heide Glüsing-Lüerßen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.

Linear Algebra And Finite Dimensional Linear Systems

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Author : Paul A. Fuhrmann
language : en
Publisher:
Release Date : 1974

Linear Algebra And Finite Dimensional Linear Systems written by Paul A. Fuhrmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.

Input Retrieval In Finite Dimensional Linear Systems

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Author : Philip George Howlett
language : en
Publisher:
Release Date : 1979

Input Retrieval In Finite Dimensional Linear Systems written by Philip George Howlett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Linear programming categories.

Controllability Of Finite Dimensional Linear Systems

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Author : Tolgay Karanfiller
language : en
Publisher:
Release Date : 2005

Controllability Of Finite Dimensional Linear Systems written by Tolgay Karanfiller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Engineering mathematics categories.

A Linear Systems Primer

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Author : Panos J. Antsaklis
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-03

A Linear Systems Primer written by Panos J. Antsaklis 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 2007-12-03 with Technology & Engineering categories.

Based on a streamlined presentation of the authors’ successful work Linear Systems, this textbook provides an introduction to systems theory with an emphasis on control. Initial chapters present necessary mathematical background material for a fundamental understanding of the dynamical behavior of systems. Each chapter includes helpful chapter descriptions and guidelines for the reader, as well as summaries, notes, references, and exercises at the end. The emphasis throughout is on time-invariant systems, both continuous- and discrete-time.

Control Problems Of Discrete Time Dynamical Systems

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Author : Yasumichi Hasegawa
language : en
Publisher: Springer
Release Date : 2015-01-20

Control Problems Of Discrete Time Dynamical Systems written by Yasumichi Hasegawa and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-20 with Technology & Engineering categories.

This monograph deals with control problems of discrete-time dynamical systems which include linear and nonlinear input/output relations In its present second enlarged edition the control problems of linear and non-linear dynamical systems will be solved as algebraically as possible. Adaptive control problems are newly proposed and solved for dynamical systems which satisfy the time-invariant condition. The monograph provides new results and their extensions which can also be more applicable for nonlinear dynamical systems. A new method which produces manipulated inputs is presented in the sense of state control and output control. To present the effectiveness of the method, many numerical examples of control problems are provided as well.

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.

Approximate And Noisy Realization Of Discrete Time Dynamical Systems

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Author : Yasumichi Hasegawa
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-06-02

Approximate And Noisy Realization Of Discrete Time Dynamical Systems written by Yasumichi Hasegawa 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 2008-06-02 with Technology & Engineering categories.

This monograph deals with approximation and noise cancellation of dynamical systems which include linear and nonlinear input/output relations. It will be of special interest to researchers, engineers and graduate students who have specialized in ?ltering theory and system theory. From noisy or noiseless data, reductionwillbemade.Anewmethodwhichreducesnoiseormodelsinformation will be proposed. Using this method will allow model description to be treated as noise reduction or model reduction. As proof of the e?cacy, this monograph provides new results and their extensions which can also be applied to nonlinear dynamical systems. To present the e?ectiveness of our method, many actual examples of noise and model information reduction will also be provided. Using the analysis of state space approach, the model reduction problem may have become a major theme of technology after 1966 for emphasizing e?ciency in the ?elds of control, economy, numerical analysis, and others. Noise reduction problems in the analysis of noisy dynamical systems may havebecomeamajorthemeoftechnologyafter1974foremphasizinge?ciencyin control.However,thesubjectsoftheseresearcheshavebeenmainlyconcentrated in linear systems. In common model reduction of linear systems in use today, a singular value decompositionofaHankelmatrixisusedto?ndareducedordermodel.However, the existence of the conditions of the reduced order model are derived without evaluationoftheresultantmodel.Inthecommontypicalnoisereductionoflinear systems in use today, the order and parameters of the systems are determined by minimizing information criterion. Approximate and noisy realization problems for input/output relations can be roughly stated as follows: A. The approximate realization problem. For any input/output map, ?nd one mathematical model such that it is similar totheinput/outputmapandhasalowerdimensionthanthegivenminimalstate spaceofadynamicalsystemwhichhasthesamebehaviortotheinput/outputmap. B. The noisy realization problem.