Introduction To Mathematical Systems Theory

Author : Diederich Hinrichsen,Anthony J. Pritchard
Publisher : Springer Science & Business Media
Page : 818 pages
File Size : 53,9 Mb
Release : 2011-08-03
Category : Mathematics
ISBN : 9783540441250

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Mathematical Systems Theory I by Diederich Hinrichsen,Anthony J. Pritchard Pdf

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.

Author : J.C. Willems,J.W. Polderman
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 51,9 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781475729535

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Introduction to Mathematical Systems Theory by J.C. Willems,J.W. Polderman Pdf

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.

Author : Christiaan Heij,André C.M. Ran,F. van Schagen
Publisher : Springer Science & Business Media
Page : 169 pages
File Size : 53,9 Mb
Release : 2006-12-18
Category : Science
ISBN : 9783764375492

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Introduction to Mathematical Systems Theory by Christiaan Heij,André C.M. Ran,F. van Schagen Pdf

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.

Author : Christiaan Heij,André C.M. Ran,Frederik van Schagen
Publisher : Springer Nature
Page : 195 pages
File Size : 40,8 Mb
Release : 2021-03-21
Category : Science
ISBN : 9783030596545

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Introduction to Mathematical Systems Theory by Christiaan Heij,André C.M. Ran,Frederik van Schagen Pdf

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, which are the most relevant in business applications, as opposed to continuous time systems, requiring less mathematical preliminaries. 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. This second edition has been updated and slightly expanded. In addition, supplementary material containing the exercises is now available on the Springer Link's book website.

Author : Jerzy Zabczyk
Publisher : Springer Science & Business Media
Page : 276 pages
File Size : 49,7 Mb
Release : 2008
Category : Language Arts & Disciplines
ISBN : 0817647325

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Mathematical Control Theory by Jerzy Zabczyk Pdf

In a mathematically precise manner, this book presents a unified introduction to deterministic control theory. It includes material on the realization of both linear and nonlinear systems, impulsive control, and positive linear systems.

Author : Joachim Rosenthal,David S. Gilliam
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9780387216966

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Mathematical Systems Theory in Biology, Communications, Computation and Finance by Joachim Rosenthal,David S. Gilliam Pdf

This volume contains survey and research articles by some of the leading researchers in mathematical systems theory - a vibrant research area in its own right. Many authors have taken special care that their articles are self-contained and accessible also to non-specialists.

Author : Eduardo D. Sontag
Publisher : Springer Science & Business Media
Page : 543 pages
File Size : 50,8 Mb
Release : 2013-11-21
Category : Mathematics
ISBN : 9781461205777

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Mathematical Control Theory by Eduardo D. Sontag Pdf

Geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students, this text may additionally be used by engineering students interested in a rigorous, proof-oriented systems course that goes beyond the classical frequency-domain material and more applied courses. The minimal mathematical background required is a working knowledge of linear algebra and differential equations. The book covers what constitutes the common core of control theory and is unique in its emphasis on foundational aspects. While covering a wide range of topics written in a standard theorem/proof style, it also develops the necessary techniques from scratch. In this second edition, new chapters and sections have been added, dealing with time optimal control of linear systems, variational and numerical approaches to nonlinear control, nonlinear controllability via Lie-algebraic methods, and controllability of recurrent nets and of linear systems with bounded controls.

Author : Athanasios C. Antoulas
Publisher : Springer Science & Business Media
Page : 589 pages
File Size : 44,9 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.

Author : Anatole Katok,A. B. Katok,Boris Hasselblatt
Publisher : Cambridge University Press
Page : 828 pages
File Size : 54,5 Mb
Release : 1995
Category : Mathematics
ISBN : 0521575575

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Introduction to the Modern Theory of Dynamical Systems by Anatole Katok,A. B. Katok,Boris Hasselblatt Pdf

A self-contained comprehensive introduction to the mathematical theory of dynamical systems for students and researchers in mathematics, science and engineering.

Author : Ruth F. Curtain,Hans Zwart
Publisher : Springer Science & Business Media
Page : 714 pages
File Size : 42,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461242246

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An Introduction to Infinite-Dimensional Linear Systems Theory by Ruth F. Curtain,Hans Zwart Pdf

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.

Author : Jan Willem Polderman,Jan C. Willems
Publisher : Springer Verlag
Page : 455 pages
File Size : 42,7 Mb
Release : 2007
Category : Mathematics
ISBN : 0387357637

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Introduction to Mathematical Systems Theory by Jan Willem Polderman,Jan C. Willems Pdf

This is a book about modelling, analysis and control of linear time- invariant systems. The book uses what is called the behavioral approach towards mathematical modelling. An essential feature of using the behavioral approach is that it allows these and similar concepts to be introduced in a representation-free manner. Thus a system is viewed as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. J. Willems is well-known researcher and has a very good reputation in nonlinear control theory. The book contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.

Author : Alberto Bressan,Benedetto Piccoli
Publisher : Unknown
Page : 336 pages
File Size : 41,8 Mb
Release : 2007
Category : Control theory
ISBN : CORNELL:31924107186136

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Introduction to the Mathematical Theory of Control by Alberto Bressan,Benedetto Piccoli Pdf

Author : Hal L. Smith
Publisher : American Mathematical Soc.
Page : 186 pages
File Size : 45,9 Mb
Release : 1995
Category : Differentiable dynamical systems
ISBN : 9780821844878

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Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems by Hal L. Smith Pdf

This book presents comprehensive treatment of a rapidly developing area with many potential applications: the theory of monotone dynamical systems and the theory of competitive and cooperative differential equations. The primary aim is to provide potential users of the theory with techniques, results, and ideas useful in applications, while at the same time providing rigorous proofs. Among the topics discussed in the book are continuous-time monotone dynamical systems, and quasimonotone and nonquasimonotone delay differential equations. The book closes with a discussion of applications to quasimonotone systems of reaction-diffusion type. Throughout the book, applications of the theory to many mathematical models arising in biology are discussed. Requiring a background in dynamical systems at the level of a first graduate course, this book is useful to graduate students and researchers working in the theory of dynamical systems and its applications.

Author : Konstantin A. Lurie
Publisher : Springer Science & Business Media
Page : 188 pages
File Size : 52,8 Mb
Release : 2007-05-15
Category : Mathematics
ISBN : 9780387382807

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An Introduction to the Mathematical Theory of Dynamic Materials by Konstantin A. Lurie Pdf

This fascinating book is a treatise on real space-age materials. It is a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes.

Author : Claude E Shannon,Warren Weaver
Publisher : University of Illinois Press
Page : 144 pages
File Size : 48,5 Mb
Release : 1998-09-01
Category : Language Arts & Disciplines
ISBN : 9780252098031

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The Mathematical Theory of Communication by Claude E Shannon,Warren Weaver Pdf

Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.