Advances In Mathematical Systems Theory

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Introduction To Mathematical Systems Theory

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Author : J.C. Willems
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-11-07

Introduction To Mathematical Systems Theory written by J.C. Willems 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 1997-11-07 with Mathematics categories.

Using the behavioural approach to mathematical modelling, this book views a system as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. The first part analyses the structure of the set of trajectories generated by such dynamical systems, and derives the conditions for two systems of differential equations to be equivalent in the sense that they define the same behaviour. In addition the memory structure of the system is analysed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. In the third part, control problems are considered, in particular stabilisation and pole placement questions. Suitable for advanced undergraduate or beginning graduate students in mathematics and engineering, this text contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.

Mathematical Systems Theory I

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Author : Diederich Hinrichsen
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-03

Mathematical Systems Theory I written by Diederich Hinrichsen 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 2011-08-03 with Mathematics categories.

This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to the analysis of dynamical systems and combines features of a detailed introductory textbook with that of a reference source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions.

Advances In Mathematical Systems Theory

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Author : Preston C. Hammer
language : en
Publisher: Penn State University Press
Release Date : 1969

Advances In Mathematical Systems Theory written by Preston C. Hammer and has been published by Penn State University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.

The patterns that have emerged from recent attempts to use mathematics to discuss complex phenomena have led to the development of a new discipline--mathematical systems theory. This theory arises from models of the important interactions in real systems. Mathematicians, engineers, and technically-oriented administrators will find this new series-which describes in detail the latest views on real systems and the uses of formal systems-of great value. Four main areas are investigated in the first volume of the series: theory of finite automata in engineering systems; control systems; computer linguistics; and global principles concerning systems. Examples and applications are provided throughout this work. Contributors: Preston G. Hammer (Editor), Head, Computer Science Department, The Pennsylvania State University. Alan J. Perlis, Head, Computer Science Department, Case Institute of Technology, Former President, Association for Computing Machinery. M.D. Mesarovich, Director, Systems Research Institute, Case Institute of Technology, Editor, Journal of Mathematical Systems Theory. A.W. Wymore, Head, Systems Engineering Department, University of Arizona.

Advances In Mathematical Systems Theory

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Author : Fritz Colonius
language : en
Publisher: Springer Science & Business Media
Release Date : 2001

Advances In Mathematical Systems Theory written by Fritz Colonius 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 2001 with Language Arts & Disciplines categories.

This volume contains the lectures presented at the workshop on "Advances in Mathematical Systems Theory," held on the island of Borkum, Germany (April 20-23, 1999). The book will be of interest to graduate students and researchers interested in control theory and mathematical systems theory, who will find in-depth analysis and presentations from diverse perspectives interacting in this lively area. The editors are proud to dedicate this volume to Diederich Hinrichsen on the occasion of his 60th birthday in acknowl- edgment of his major contributions to linear systems theory and control theory and his long-term achievements in establishing mathematical sys- tems theory in Germany. We all owe much to him as a teacher, colleague, and friend. The editors thank the Graduiertenkolleg "Komplexe Dynamische Sys- teme" at the University of Bremen as well as the European "Nonlinear Control Network" for providing financial support that enabled this work- shop. Augsburg, Germany Fritz Colonius Wiirzburg, Germany Uwe Helmke Kaiserslautern, Germany Dieter Pratzel-Wolters Bremen, Germany Fabian Wirth Introduction The workshop "Advances in Mathematical Systems Theory" took place in honor of Diederich Hinrichsen on the occasion of his 60th birthday. The following chapters are based on invited lectures and cover a wide range of topics in linear and nonlinear systems theory including parameteriza- tion problems, behaviors of linear systems and convolutional codes, as well as complementarity systems and hybrid systems.

Introduction To Mathematical Systems Theory

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Author : Christiaan Heij
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-18

Introduction To Mathematical Systems Theory written by Christiaan Heij 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 2006-12-18 with Science categories.

This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering; the focus is on discrete time systems. The subjects treated are among the central topics of deterministic linear system theory: controllability, observability, realization theory, stability and stabilization by feedback, LQ-optimal control theory. Kalman filtering and LQC-control of stochastic systems are also discussed, as are modeling, time series analysis and model specification, along with model validation.

Mathematical Control Theory

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Author : Eduardo D. Sontag
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21

Mathematical Control Theory written by Eduardo D. Sontag 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 2013-11-21 with Mathematics categories.

Mathematics is playing an ever more important role in the physical and biologi cal sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and rein force the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematics Sci ences (AMS) series, which will focus on advanced textbooks and research-level monographs. v Preface to the Second Edition The most significant differences between this edition and the first are as follows: • Additional chapters and sections have been written, dealing with: nonlinear controllability via Lie-algebraic methods, variational and numerical approaches to nonlinear control, including a brief introduction to the Calculus of Variations and the Minimum Principle, - time-optimal control of linear systems, feedback linearization (single-input case), nonlinear optimal feedback, controllability of recurrent nets, and controllability of linear systems with bounded controls.

Unsolved Problems In Mathematical Systems And Control Theory

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Author : Vincent D. Blondel
language : en
Publisher: Princeton University Press
Release Date : 2009-04-11

Unsolved Problems In Mathematical Systems And Control Theory written by Vincent D. Blondel and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-11 with Mathematics categories.

This book provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. Each of the problems included here is proposed by a leading expert and set forth in an accessible manner. Covering a wide range of areas, the book will be an ideal reference for anyone interested in the latest developments in the field, including specialists in applied mathematics, engineering, and computer science. The book consists of ten parts representing various problem areas, and each chapter sets forth a different problem presented by a researcher in the particular area and in the same way: description of the problem, motivation and history, available results, and bibliography. It aims not only to encourage work on the included problems but also to suggest new ones and generate fresh research. The reader will be able to submit solutions for possible inclusion on an online version of the book to be updated quarterly on the Princeton University Press website, and thus also be able to access solutions, updated information, and partial solutions as they are developed.

Advances In Mathematical Systems Theory

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Author : Preston C. Hammer
language : it
Publisher:
Release Date : 1969

Advances In Mathematical Systems Theory written by Preston C. Hammer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.

Advances In Mathematical Systems Theory

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Author : Birkhauser Verlag AG
language : en
Publisher:
Release Date : 2001

Advances In Mathematical Systems Theory written by Birkhauser Verlag AG and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.

Fundamentals Of Advanced Mathematics 1

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Author : Henri Bourles
language : en
Publisher: Elsevier
Release Date : 2017-07-10

Fundamentals Of Advanced Mathematics 1 written by Henri Bourles and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-10 with Mathematics categories.

This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. This first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general framework and then studied in the context of commutative and homological algebra; their application in algebraic topology and geometry is therefore developed. These notions play an essential role in algebraic analysis (analytico-algebraic systems theory of ordinary or partial linear differential equations). The book concludes with a study of modules over the main types of rings, the rational canonical form of matrices, the (commutative) theory of elemental divisors and their application in systems of linear differential equations with constant coefficients. - Part of the New Mathematical Methods, Systems, and Applications series - Presents the notions, results, and proofs necessary to understand and master the various topics - Provides a unified notation, making the task easier for the reader. - Includes several summaries of mathematics for engineers