Interpolation And Realization Theory With Applications To Control Theory

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Interpolation and Realization Theory with Applications to Control Theory

Vladimir Bolotnikov,Sanne ter Horst,André C.M. Ran,Victor Vinnikov
Interpolation and Realization Theory with Applications to Control Theory Book PDF

Author : Vladimir Bolotnikov,Sanne ter Horst,André C.M. Ran,Victor Vinnikov
Publisher : Springer
Page : 353 pages
File Size : 51,6 Mb
Release : 2019-04-08
Category : Mathematics
ISBN : 9783030116149

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Interpolation and Realization Theory with Applications to Control Theory by Vladimir Bolotnikov,Sanne ter Horst,André C.M. Ran,Victor Vinnikov Pdf

This volume is devoted to Joseph A. (Joe) Ball’s contributions to operator theory and its applications and in celebration of his seventieth birthday. Joe Ball’s career spans over four and a half decades, starting with his work on model theory and related topics for non-contractions and operators on multiply connected domains. Later on, more applied operator theory themes appeared in his work, involving factorization and interpolation for operator-valued functions, with extensive applications in system and control theory. He has worked on nonlinear control, time-varying systems and, more recently, on multidimensional systems and noncommutative H∞-theory on the unit ball and polydisk, and more general domains, and these are only the main themes in his vast oeuvre. Fourteen research papers constitute the core of this volume, written by mathematicians who have collaborated with Joe or have been influenced by his vast mathematical work. A curriculum vitae, a publications list and a list of Joe Ball’s PhD students are included in this volume, as well as personal reminiscences by colleagues and friends. Contributions by Yu. M. Arlinskii, S. Hassi, M. Augat, J. W. Helton, I. Klep, S. McCullough, S. Balasubramanian, U. Wijesooriya, N. Cohen, Q. Fang, S. Gorai, J. Sarkar, G. J. Groenewald, S. ter Horst, J. Jaftha, A. C. M. Ran, M.A. Kaashoek, F. van Schagen, A. Kheifets, Z. A. Lykova, N. J. Young, A. E. Ajibo, R. T. W. Martin, A. Ramanantoanina, M.-J. Y. Ou, H. J. Woerdeman, A. van der Schaft, A. Tannenbaum, T. T. Georgiou, J. O. Deasy and L. Norton.

Operator Algebras, Toeplitz Operators and Related Topics

Wolfram Bauer,Roland Duduchava,Sergei Grudsky,Marinus A. Kaashoek
Operator Algebras Toeplitz Operators and Related Topics Book PDF

Author : Wolfram Bauer,Roland Duduchava,Sergei Grudsky,Marinus A. Kaashoek
Publisher : Springer Nature
Page : 467 pages
File Size : 55,9 Mb
Release : 2020-09-01
Category : Mathematics
ISBN : 9783030446512

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Operator Algebras, Toeplitz Operators and Related Topics by Wolfram Bauer,Roland Duduchava,Sergei Grudsky,Marinus A. Kaashoek Pdf

This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications. Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.

Noncommutative Function-Theoretic Operator Theory and Applications

Joseph A. Ball,Vladimir Bolotnikov
Noncommutative Function Theoretic Operator Theory and Applications Book PDF

Author : Joseph A. Ball,Vladimir Bolotnikov
Publisher : Cambridge University Press
Page : 439 pages
File Size : 45,9 Mb
Release : 2021-12-16
Category : Mathematics
ISBN : 9781316518991

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Noncommutative Function-Theoretic Operator Theory and Applications by Joseph A. Ball,Vladimir Bolotnikov Pdf

This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.

Mathematical System Theory

Athanasios C. Antoulas
Mathematical System Theory Book PDF

Author : Athanasios C. Antoulas
Publisher : Springer Science & Business Media
Page : 589 pages
File Size : 47,7 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9783662085462

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Mathematical System Theory by Athanasios C. Antoulas Pdf

Over the past three decades R.E. Kalman has been one of the most influential personalities in system and control theory. His ideas have been instrumental in a variety of areas. This is a Festschrift honoring his 60th birthday. It contains contributions from leading researchers in the field giving an account of the profound influence of his ideas in a number of areas of active research in system and control theory. For example, since their introduction by Kalman in the early 60's, the concepts of controllability and observability of dynamical systems with inputs, have been the corner stone of the great majority of investigations in the field.

Analysis and Optimization of Systems

A. Bensoussan,J.L. Lions
Analysis and Optimization of Systems Book PDF

Author : A. Bensoussan,J.L. Lions
Publisher : Springer
Page : 895 pages
File Size : 55,6 Mb
Release : 2006-01-20
Category : Technology & Engineering
ISBN : 9783540398561

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Analysis and Optimization of Systems by A. Bensoussan,J.L. Lions Pdf

INRIA, Institut National de Recherche en Informatique et en Automatique

Realization and Model Reduction of Dynamical Systems

Christopher Beattie,Peter Benner,Mark Embree,Serkan Gugercin,Sanda Lefteriu
Realization and Model Reduction of Dynamical Systems Book PDF

Author : Christopher Beattie,Peter Benner,Mark Embree,Serkan Gugercin,Sanda Lefteriu
Publisher : Springer Nature
Page : 462 pages
File Size : 43,7 Mb
Release : 2022-06-09
Category : Science
ISBN : 9783030951573

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Realization and Model Reduction of Dynamical Systems by Christopher Beattie,Peter Benner,Mark Embree,Serkan Gugercin,Sanda Lefteriu Pdf

This book celebrates Professor Thanos Antoulas's 70th birthday, marking his fundamental contributions to systems and control theory, especially model reduction and, more recently, data-driven modeling and system identification. Model reduction is a prominent research topic with wide ranging scientific and engineering applications.

Operator Algebras, Operator Theory and Applications

J. J. Grobler,L.E. Labuschagne,Manfred Möller
Operator Algebras Operator Theory and Applications Book PDF

Author : J. J. Grobler,L.E. Labuschagne,Manfred Möller
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 42,5 Mb
Release : 2009-12-24
Category : Mathematics
ISBN : 9783034601740

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Operator Algebras, Operator Theory and Applications by J. J. Grobler,L.E. Labuschagne,Manfred Möller Pdf

This volume contains the proceedings of the eighteenth International Workshop on Operator Theory and Applications (IWOTA), hosted by the Unit for Business Mathematics and Informatics of North-West University, Potchefstroom, South Africa from July 3 to 6, 2007. The conference (as well as these proceedings) was dedicated to Professors Joseph A. Ball and Marinus M. Kaashoek on the occasion of their 60th and 70th birthdays, respectively. This conference had a particular focus on Von Neumann algebras at the interface of operator theory with functional analysis and on applications of operator theory to differential equations.

Realization and Modelling in System Theory

A.C. Ran,J.H. van Schuppen,Marinus Kaashoek
Realization and Modelling in System Theory Book PDF

Author : A.C. Ran,J.H. van Schuppen,Marinus Kaashoek
Publisher : Springer Science & Business Media
Page : 594 pages
File Size : 40,9 Mb
Release : 2013-03-07
Category : Science
ISBN : 9781461234623

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Realization and Modelling in System Theory by A.C. Ran,J.H. van Schuppen,Marinus Kaashoek Pdf

This volume is the first of the three volume publication containing the proceedings of the 1989 International Symposium on the Mathematical Theory of Networks and Systems (MTNS-89), which was held in Amsterdam, The Netherlands, June 19-23, 1989. The International Symposia MTNS focus attention on problems from system and control theory, circuit theory and signal processing, which, in general, require application of sophisticated mathematical tools, such as from function and operator theory, linear algebra and matrix theory, differential and algebraic geometry. The interaction between advanced mathematical methods and practical engineering problems of circuits, systems and control, which is typical for MTNS, turns out to be most effective and is, as these proceedings show, a continuing source of exciting advances. The first volume contains invited papers and a large selection of other symposium presentations on the general theory of deterministic and stochastic systems with an emphasis on realization and modelling. A wide variety of recent results on approximate realization and system identification, stochastic dynamical systems, discrete event systems,- o systems, singular systems and nonstandard models IS presented. Preface vi Also a few papers on applications in hydrology and hydraulics are included. The titles of the two other volumes are: Robust Control of Linear Sys tems and Nonlinear Control (volume 2) and Signal Processing. Scatter ing and Operator Theory. and Numerical Methods (volume 3). The Editors are most grateful to the about 300 reviewers for their help in the refereeing process. The Editors thank Ms. G. Bijleveld and Ms.

Chain-Scattering Approach to H∞Control

Hidenori Kimura
Chain Scattering Approach to H Control Book PDF

Author : Hidenori Kimura
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461240808

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Chain-Scattering Approach to H∞Control by Hidenori Kimura Pdf

Through its rapid progress in the last decade, HOOcontrol became an established control technology to achieve desirable performances of con trol systems. Several highly developed software packages are now avail able to easily compute an HOOcontroller for anybody who wishes to use HOOcontrol. It is questionable, however, that theoretical implications of HOOcontrol are well understood by the majority of its users. It is true that HOOcontrol theory is harder to learn due to its intrinsic mathemat ical nature, and it may not be necessary for those who simply want to apply it to understand the whole body of the theory. In general, how ever, the more we understand the theory, the better we can use it. It is at least helpful for selecting the design options in reasonable ways to know the theoretical core of HOOcontrol. The question arises: What is the theoretical core of HOO control? I wonder whether the majority of control theorists can answer this ques tion with confidence. Some theorists may say that the interpolation theory is the true essence of HOOcontrol, whereas others may assert that unitary dilation is the fundamental underlying idea of HOOcontrol. The J spectral factorization is also well known as a framework of HOOcontrol. A substantial number of researchers may take differential game as the most salient feature of HOOcontrol, and others may assert that the Bounded Real Lemma is the most fundamental building block.

Operator Theory and Interpolation

Hari Berkovici,Ciprian I. Foias
Operator Theory and Interpolation Book PDF

Author : Hari Berkovici,Ciprian I. Foias
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 42,5 Mb
Release : 2000-02-14
Category : Mathematics
ISBN : UOM:39015050170086

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Operator Theory and Interpolation by Hari Berkovici,Ciprian I. Foias Pdf

A collection of articles emphasizing modern interpolation theory, a topic which has seen much progress in recent years. These ideas and problems in operator theory, often arising from systems and control theories, bring the reader to the forefront of current research in this area.

Three Decades of Progress in Control Sciences

Xiaoming Hu,Ulf Jonsson,Bo Wahlberg,Bijoy Ghosh
Three Decades of Progress in Control Sciences Book PDF

Author : Xiaoming Hu,Ulf Jonsson,Bo Wahlberg,Bijoy Ghosh
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 47,8 Mb
Release : 2010-10-29
Category : Technology & Engineering
ISBN : 9783642112782

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Three Decades of Progress in Control Sciences by Xiaoming Hu,Ulf Jonsson,Bo Wahlberg,Bijoy Ghosh Pdf

In this edited collection we commemorate the 60th birthday of Prof. Christopher Byrnes and the retirement of Prof. Anders Lindquist from the Chair of Optimization and Systems Theory at KTH. These papers were presented in part at a 2009 workshop in KTH, Stockholm, honoring the lifetime contributions of Professors Byrnes and Lindquist in various fields of applied mathematics.

Mathematical Control Theory II

Madhu N. Belur,M. Kanat Camlibel,Paolo Rapisarda,Jacquelien M.A. Scherpen
Mathematical Control Theory II Book PDF

Author : Madhu N. Belur,M. Kanat Camlibel,Paolo Rapisarda,Jacquelien M.A. Scherpen
Publisher : Springer
Page : 255 pages
File Size : 42,7 Mb
Release : 2015-07-08
Category : Technology & Engineering
ISBN : 9783319210032

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Mathematical Control Theory II by Madhu N. Belur,M. Kanat Camlibel,Paolo Rapisarda,Jacquelien M.A. Scherpen Pdf

This treatment of modern topics related to mathematical systems theory forms the proceedings of a workshop, Mathematical Systems Theory: From Behaviors to Nonlinear Control, held at the University of Groningen in July 2015. The workshop celebrated the work of Professors Arjan van der Schaft and Harry Trentelman, honouring their 60th Birthdays. The second volume of this two-volume work covers a variety of topics related to behavioral systems and robust control. After giving a detailed account of the state-of the art in the related topic, each chapter presents new results and discusses new directions. As such, this volume provides a broad picture of the theory of behavioral systems and robust control for scientists and engineers with an interest in the interdisciplinary field of systems and control theory. The reader will benefit from the expert participants’ ideas on exciting new approaches to control and system theory and their predictions of future directions for the subject that were discussed at the workshop.

Interpolation Theory, Systems Theory and Related Topics

Daniel Alpay,Israel Gohberg,Victor Vinnikov
Interpolation Theory Systems Theory and Related Topics Book PDF

Author : Daniel Alpay,Israel Gohberg,Victor Vinnikov
Publisher : Springer Science & Business Media
Page : 410 pages
File Size : 49,9 Mb
Release : 2002-07-01
Category : Mathematics
ISBN : 3764367628

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Interpolation Theory, Systems Theory and Related Topics by Daniel Alpay,Israel Gohberg,Victor Vinnikov Pdf

This volume is based on the proceedings of the Toeplitz Lectures 1999 and of the Workshop in Operator Theory held in March 1999 at Tel-Aviv University and at the Weizmann Institute of Science. The workshop was held on the occasion of the 60th birthday of Harry Dym, and the Toeplitz lecturers were Harry Dym and Jim Rovnyak. The papers in the volume reflect Harry's influence on the field of operator theory and its applications through his insights, his writings, and his personality. The volume begins with an autobiographical sketch, followed by the list ofpublications ofHarry Dym and the paper ofIsrael Gohberg: On Joint Work with Harry Dym. The following paper by Jim Rovnyak: Methods of Krdn Space Operator The- ory, is based on his Toeplitz lectures. It gives a survey ofold and recents methods of KreIn space operator theory along with examples from function theory, espe- cially substitution operators on indefinite Dirichlet spaces and their relation to coefficient problems for univalent functions, an idea pioneered by 1. de Branges and underlying his proof of the Bieberbach conjecture (see [9]). The remaining papers (arranged in the alphabetical order) can be divided into the following categories. Schur analysis and interpolation In Notes on Interpolation in the Generalized Schur Class. I, D. Alpay, T. Con- stantinescu, A. Dijksma, and J. Rovnyak use realization theory for operator colli- gations in Pontryagin spaces to study interpolation and factorization problems in generalized Schur classes.

New Aspects in Interpolation and Completion Theories

I. Gohberg
New Aspects in Interpolation and Completion Theories Book PDF

Author : I. Gohberg
Publisher : Birkhäuser
Page : 229 pages
File Size : 54,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034885621

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New Aspects in Interpolation and Completion Theories by I. Gohberg Pdf

This volume consists of eight papers containing recent advances in interpolation theory for matrix functions and completion theory for matrices and operators. In the first paper, D. Alpay and P. Loubaton, "The tangential trigonometric moment problem on an interval and related topics" a trigonometric moment problem on an interval for matrix valued functions is studied. The realization approach plays an important role in solving this problem. The second paper, M. Bakonyi, V.G. Kaftal, G. Weiss and H.J. Woerdeman, "Max imum entropy and joint norm bounds for operator extensions" is dedicated to a matrix completion problem. In it is considered the problem when only the lower triangular part of the operator entries of a matrix is identified. Completions which have simultaneously a small usual norm and a small Hilbert-Schmidt norm are considered. Bounds for these norms are obtained. The analysis of the maximum entropy extension plays a special role. The paper contains applications to nest algebras and integral operators. The third paper, J .A. Ball, I. Gohberg and M.A. Kaashoek, "Bitangential interpola tion for input-output operators of time varying systems: the discrete time case" contains solutions of time varying interpolation problems. The main attention is focused on the time varying analog of the Nevanlinna-Pick tangential problem in the case where the inter polation conditions appear from two sides. The state space theory of time varying systems play an important role.

Linear Systems and Optimal Control

Charles K. Chui,Guanrong Chen
Linear Systems and Optimal Control Book PDF

Author : Charles K. Chui,Guanrong Chen
Publisher : Springer Science & Business Media
Page : 162 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642613128

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Linear Systems and Optimal Control by Charles K. Chui,Guanrong Chen Pdf

A knowledge of linear systems provides a firm foundation for the study of optimal control theory and many areas of system theory and signal processing. State-space techniques developed since the early sixties have been proved to be very effective. The main objective of this book is to present a brief and somewhat complete investigation on the theory of linear systems, with emphasis on these techniques, in both continuous-time and discrete-time settings, and to demonstrate an application to the study of elementary (linear and nonlinear) optimal control theory. An essential feature of the state-space approach is that both time-varying and time-invariant systems are treated systematically. When time-varying systems are considered, another important subject that depends very much on the state-space formulation is perhaps real-time filtering, prediction, and smoothing via the Kalman filter. This subject is treated in our monograph entitled "Kalman Filtering with Real-Time Applications" published in this Springer Series in Information Sciences (Volume 17). For time-invariant systems, the recent frequency domain approaches using the techniques of Adamjan, Arov, and Krein (also known as AAK), balanced realization, and oo H theory via Nevanlinna-Pick interpolation seem very promising, and this will be studied in our forthcoming monograph entitled "Mathematical Ap proach to Signal Processing and System Theory". The present elementary treatise on linear system theory should provide enough engineering and mathe of these two subjects.