Interpolation And Realization Theory With Applications To Control Theory

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Interpolation and Realization Theory with Applications to Control Theory

Author : Vladimir Bolotnikov
Publisher : Springer
ISBN 13 : 303011614X
Total Pages : 390 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Interpolation and Realization Theory with Applications to Control Theory by : Vladimir Bolotnikov

Download or read book Interpolation and Realization Theory with Applications to Control Theory written by Vladimir Bolotnikov and published by Springer. This book was released on 2019-04-08 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Noncommutative Function-Theoretic Operator Theory and Applications

Author : Joseph A. Ball
Publisher : Cambridge University Press
ISBN 13 : 131651899X
Total Pages : 439 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Noncommutative Function-Theoretic Operator Theory and Applications by : Joseph A. Ball

Download or read book Noncommutative Function-Theoretic Operator Theory and Applications written by Joseph A. Ball and published by Cambridge University Press. This book was released on 2021-12-16 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.

Feedback Control Theory

Author : John C. Doyle
Publisher : Courier Corporation
ISBN 13 : 0486318338
Total Pages : 264 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Feedback Control Theory by : John C. Doyle

Download or read book Feedback Control Theory written by John C. Doyle and published by Courier Corporation. This book was released on 2013-04-09 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: An excellent introduction to feedback control system design, this book offers a theoretical approach that captures the essential issues and can be applied to a wide range of practical problems. Its explorations of recent developments in the field emphasize the relationship of new procedures to classical control theory, with a focus on single input and output systems that keeps concepts accessible to students with limited backgrounds. The text is geared toward a single-semester senior course or a graduate-level class for students of electrical engineering. The opening chapters constitute a basic treatment of feedback design. Topics include a detailed formulation of the control design program, the fundamental issue of performance/stability robustness tradeoff, and the graphical design technique of loopshaping. Subsequent chapters extend the discussion of the loopshaping technique and connect it with notions of optimality. Concluding chapters examine controller design via optimization, offering a mathematical approach that is useful for multivariable systems.

Mathematical Control Theory II

Author : Madhu N. Belur
Publisher : Springer
ISBN 13 : 3319210033
Total Pages : 259 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Mathematical Control Theory II by : Madhu N. Belur

Download or read book Mathematical Control Theory II written by Madhu N. Belur and published by Springer. This book was released on 2015-07-08 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Realization and Model Reduction of Dynamical Systems

Author : Christopher Beattie
Publisher : Springer Nature
ISBN 13 : 303095157X
Total Pages : 462 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Realization and Model Reduction of Dynamical Systems by : Christopher Beattie

Download or read book Realization and Model Reduction of Dynamical Systems written by Christopher Beattie and published by Springer Nature. This book was released on 2022-06-09 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, Toeplitz Operators and Related Topics

Author : Wolfram Bauer
Publisher : Springer Nature
ISBN 13 : 3030446514
Total Pages : 467 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Operator Algebras, Toeplitz Operators and Related Topics by : Wolfram Bauer

Download or read book Operator Algebras, Toeplitz Operators and Related Topics written by Wolfram Bauer and published by Springer Nature. This book was released on 2020-09-01 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical System Theory

Author : Athanasios C. Antoulas
Publisher : Springer Science & Business Media
ISBN 13 : 3662085461
Total Pages : 589 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Mathematical System Theory by : Athanasios C. Antoulas

Download or read book Mathematical System Theory written by Athanasios C. Antoulas and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Linear Algebra for Control Theory

Author : Paul Van Dooren
Publisher : Springer Science & Business Media
ISBN 13 : 1461384192
Total Pages : 203 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Linear Algebra for Control Theory by : Paul Van Dooren

Download or read book Linear Algebra for Control Theory written by Paul Van Dooren and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past decade the interaction between control theory and linear algebra has been ever increasing, giving rise to new results in both areas. As a natural outflow of this research, this book presents information on this interdisciplinary area. The cross-fertilization between control and linear algebra can be found in subfields such as Numerical Linear Algebra, Canonical Forms, Ring-theoretic Methods, Matrix Theory, and Robust Control. This book's editors were challenged to present the latest results in these areas and to find points of common interest. This volume reflects very nicely the interaction: the range of topics seems very wide indeed, but the basic problems and techniques are always closely connected. And the common denominator in all of this is, of course, linear algebra. This book is suitable for both mathematicians and students.

Analysis and Optimization of Systems

Author : A. Bensoussan
Publisher : Springer
ISBN 13 : 3540398562
Total Pages : 895 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Analysis and Optimization of Systems by : A. Bensoussan

Download or read book Analysis and Optimization of Systems written by A. Bensoussan and published by Springer. This book was released on 2006-01-20 with total page 895 pages. Available in PDF, EPUB and Kindle. Book excerpt: INRIA, Institut National de Recherche en Informatique et en Automatique

New Aspects in Interpolation and Completion Theories

Author : I. Gohberg
Publisher : Birkhäuser
ISBN 13 : 3034885628
Total Pages : 229 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis New Aspects in Interpolation and Completion Theories by : I. Gohberg

Download or read book New Aspects in Interpolation and Completion Theories written by I. Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Operator Algebras, Operator Theory and Applications

Author : J. J. Grobler
Publisher : Springer Science & Business Media
ISBN 13 : 3034601743
Total Pages : 301 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Operator Algebras, Operator Theory and Applications by : J. J. Grobler

Download or read book Operator Algebras, Operator Theory and Applications written by J. J. Grobler and published by Springer Science & Business Media. This book was released on 2009-12-24 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Time-Variant Systems and Interpolation

Author : Israel Gohberg
Publisher : Springer Science & Business Media
ISBN 13 : 9783764327385
Total Pages : 312 pages
Book Rating : 4.3/5 (273 download)

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Book Synopsis Time-Variant Systems and Interpolation by : Israel Gohberg

Download or read book Time-Variant Systems and Interpolation written by Israel Gohberg and published by Springer Science & Business Media. This book was released on 1992 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Six papers deal with interrelated problems of modern operator theory, complex analysis, and system theory at a level accessible to advanced mathematicians and engineers. They provide a cross-section of recent advances in the understanding of the theory of time-varying systems and time-varying of analogues of interpolation problems. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Three Decades of Progress in Control Sciences

Author : Xiaoming Hu
Publisher : Springer Science & Business Media
ISBN 13 : 3642112781
Total Pages : 376 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Three Decades of Progress in Control Sciences by : Xiaoming Hu

Download or read book Three Decades of Progress in Control Sciences written by Xiaoming Hu and published by Springer Science & Business Media. This book was released on 2010-10-29 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : John B. Baillieul
Publisher : Springer Science & Business Media
ISBN 13 : 1461214165
Total Pages : 389 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Control Theory by : John B. Baillieul

Download or read book Mathematical Control Theory written by John B. Baillieul and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume on mathematical control theory contains high quality articles covering the broad range of this field. The internationally renowned authors provide an overview of many different aspects of control theory, offering a historical perspective while bringing the reader up to the very forefront of current research.

Handbook of Algebra

Author :
Publisher : Elsevier
ISBN 13 : 0080532950
Total Pages : 936 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Algebra by :

Download or read book Handbook of Algebra written by and published by Elsevier. This book was released on 1995-12-18 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Algebra defines algebra as consisting of many different ideas, concepts and results. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. Each chapter of the book combines some of the features of both a graduate-level textbook and a research-level survey. This book is divided into eight sections. Section 1A focuses on linear algebra and discusses such concepts as matrix functions and equations and random matrices. Section 1B cover linear dependence and discusses matroids. Section 1D focuses on fields, Galois Theory, and algebraic number theory. Section 1F tackles generalizations of fields and related objects. Section 2A focuses on category theory, including the topos theory and categorical structures. Section 2B discusses homological algebra, cohomology, and cohomological methods in algebra. Section 3A focuses on commutative rings and algebras. Finally, Section 3B focuses on associative rings and algebras. This book will be of interest to mathematicians, logicians, and computer scientists.

Operator Analysis

Author : Jim Agler
Publisher : Cambridge University Press
ISBN 13 : 1108485448
Total Pages : 393 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Operator Analysis by : Jim Agler

Download or read book Operator Analysis written by Jim Agler and published by Cambridge University Press. This book was released on 2020-03-26 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph, aimed at graduate students and researchers, explores the use of Hilbert space methods in function theory. Explaining how operator theory interacts with function theory in one and several variables, the authors journey from an accessible explanation of the techniques to their uses in cutting edge research.

Optimal Control Theory

Author : Suresh P. Sethi
Publisher : Taylor & Francis US
ISBN 13 : 9780387280929
Total Pages : 536 pages
Book Rating : 4.2/5 (89 download)

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Book Synopsis Optimal Control Theory by : Suresh P. Sethi

Download or read book Optimal Control Theory written by Suresh P. Sethi and published by Taylor & Francis US. This book was released on 2006 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as a foundation for the book, which the authors have applied to business management problems developed from their research and classroom instruction. Sethi and Thompson have provided management science and economics communities with a thoroughly revised edition of their classic text on Optimal Control Theory. The new edition has been completely refined with careful attention to the text and graphic material presentation. Chapters cover a range of topics including finance, production and inventory problems, marketing problems, machine maintenance and replacement, problems of optimal consumption of natural resources, and applications of control theory to economics. The book contains new results that were not available when the first edition was published, as well as an expansion of the material on stochastic optimal control theory.