Topics In Multidimensional Linear Systems Theory

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Topics In Multidimensional Linear Systems Theory

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Author : Eva Zerz
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-08-16

Topics In Multidimensional Linear Systems Theory written by Eva Zerz 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 2000-08-16 with Language Arts & Disciplines categories.

The past few decades have witnessed an increasing interest in the field of multidimensional systems theory. This is concerned with systems whose trajectories depend not on one single variable (usually interpreted as time or frequency), but on several independent variables, such as the coordinates of an image. The behavioural approach introduced by J. C. Willems provides a particularly suitable framework for developing a linear systems theory in several variables. The book deals with the classical concepts of autonomy, controllability, observability, and stabilizability. All the tests and criteria given are constructive in the sense that algorithmic versions may be implemented in modern computer algebra systems, using Gröbner basis techniques. There is a close connection between multidimensional systems theory and robust control of one-dimensional systems with several uncertain parameters. The central link consists in the basic tool of linear fractional transformations. The book concludes with examples from the theory of electrical networks.

Topics In Multidimensional Linear Systems Theory

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Author : Eva Zerz
language : en
Publisher:
Release Date : 2014-01-15

Topics In Multidimensional Linear Systems Theory written by Eva Zerz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

Multidimensional Systems Theory And Applications

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Author : N.K. Bose
language : en
Publisher: Springer
Release Date : 2013-12-20

Multidimensional Systems Theory And Applications written by N.K. Bose and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-20 with Technology & Engineering categories.

Preface to Second Edition From the time that the original edition was published in 1985, multidimensional systems theory has matured into a discipline of research and teaching with an expanding array of applications. The international journal on Multidimensional Systems and Signal Processing, founded in 1990, is now in its fourteenth year. A biannual international workshop on n-D systems was launched in 1998 and the impressive number of special sessions, mini-symposia, monographs and special issues that have emerged bear testimony to the growing popularity and importance of the subject -matter among scientists in various disciplines including engineering, computer science, geophysics and mathematics. This second edition builds on the fundamentals expounded in the original book with the addition of important developments in theory as well as practice since 1985. Particular attention has been given to the consolidation of basic results, uni fication of theory and the diversification of applications. Chapters that remain have been reordered and updated in content and references. Some chapters, considered to be somewhat outdated, have been replaced with newer proven as well as poten tially significant results, inspired by some groundbreaking research and directions which are likely to stimulate further research. In addition to the description of some challenging open problems, posed in 1985, which have since been solved, new problems yet to be tackled are also included.

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.

Linear Time Varying Systems

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Author : Henri Bourlès
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-15

Linear Time Varying Systems written by Henri Bourlès 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 2011-04-15 with Technology & Engineering categories.

The aim of this book is to propose a new approach to analysis and control of linear time-varying systems. These systems are defined in an intrinsic way, i.e., not by a particular representation (e.g., a transfer matrix or a state-space form) but as they are actually. The system equations, derived, e.g., from the laws of physics, are gathered to form an intrinsic mathematical object, namely a finitely presented module over a ring of operators. This is strongly connected with the engineering point of view, according to which a system is not a specific set of equations but an object of the material world which can be described by equivalent sets of equations. This viewpoint makes it possible to formulate and solve efficiently several key problems of the theory of control in the case of linear time-varying systems. The solutions are based on algebraic analysis. This book, written for engineers, is also useful for mathematicians since it shows how algebraic analysis can be applied to solve engineering problems. Henri Bourlès is a Professor and holds the industrial automation chair at the Conservatoire national des arts et métiers in France. He has been teaching automation for over 20 years in engineering and graduate schools. Bogdan Marinescu is currently research engineer at the French Transmission System Operator (RTE) and Associate Professor at SATIE-Ecole Normale Supérieure de Cachan.

Mathematical Systems Theory In Biology Communications Computation And Finance

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Author : Joachim Rosenthal
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematical Systems Theory In Biology Communications Computation And Finance written by Joachim Rosenthal 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 Science categories.

Mathematical systems theory is a vibrant research area in its own right. The theory has an impact in numerous applications areas including aeronautics, biological systems, chemical engineering, communication systems, financial engineering and robotics to name just a few. This volume contains survey and research articles by some of the leading researchers in mathematical systems theory. Many authors have taken special care that their articles are self-contained and accessible also to non-specialists. The articles contained in this volume are from those presented as plenary lectures, invited one hour lectures and minisymposia at the 15th International Symposium on the Mathematical Theory of Networks and Systems held at the University of Notre Dame, August 12-16, 2002.

Variable Structure Systems Towards The 21st Century

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Author : Xinghuo Yu
language : en
Publisher: Springer
Release Date : 2003-07-01

Variable Structure Systems Towards The 21st Century written by Xinghuo Yu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Mathematics categories.

The book is a collection of contributions concerning the theories, applications and perspectives of Variable Structure Systems (VSS). Variable Structure Systems have been a major control design methodology for many decades. The term Variable Structure Systems was introduced in the late 1950’s, and the fundamental concepts were developed for its main branch Sliding Mode Control by Russian researchers Emelyanov and Utkin. The 20th Century has seen the formation and consolidation of VSS theory and its applications. It has also seen an emerging trend of cross-fertilization and integration of VSS with other control and non-control techniques such as feedback linearization, ?atness, passivity based control, adaptive and learning ? control, system identi?cation, pulse width modulation, H geometric and algebraic methods, arti?cial intelligence, modeling and optimization, neural networks, fuzzy logic, to name just a few. This trend will continue and ?ourish in the new millennium. To re?ect these major developments in the 20th Century, this book - cludes 16 specially invited contributions from well-known experts in VSS theory and applications, covering a wide range of topics. The ?rst chapter, “First Stage of VSS: People and Events” written by Vadim Utkin, the founder of VSS, oversees and documents the historical developments of VSS in the 20th Century, including many interesting events not known to the West until now. The second chapter, “An Integrated Learning Variable Structure Control Method” written by Jian-Xin Xu, addresses an important issue regarding control integration between variable structure control and learning control.

Algebraic And Symbolic Computation Methods In Dynamical Systems

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Author : Alban Quadrat
language : en
Publisher: Springer Nature
Release Date : 2020-05-30

Algebraic And Symbolic Computation Methods In Dynamical Systems written by Alban Quadrat and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-30 with Science categories.

This book aims at reviewing recent progress in the direction of algebraic and symbolic computation methods for functional systems, e.g. ODE systems, differential time-delay equations, difference equations and integro-differential equations. In the nineties, modern algebraic theories were introduced in mathematical systems theory and in control theory. Combined with real algebraic geometry, which was previously introduced in control theory, the past years have seen a flourishing development of algebraic methods in control theory. One of the strengths of algebraic methods lies in their close connections to computations. The use of the above-mentioned algebraic theories in control theory has been an important source of motivation to develop effective versions of these theories (when possible). With the development of computer algebra and computer algebra systems, symbolic methods for control theory have been developed over the past years. The goal of this book is to propose a partial state of the art in this direction. To make recent results more easily accessible to a large audience, the chapters include materials which survey the main mathematical methods and results and which are illustrated with explicit examples.

Linear Delay Differential Systems With Commensurate Delays An Algebraic Approach

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Author : Heide Gluesing-Luerssen
language : en
Publisher: Springer
Release Date : 2004-10-19

Linear Delay Differential Systems With Commensurate Delays An Algebraic Approach written by Heide Gluesing-Luerssen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-19 with Mathematics categories.

The book deals with linear time-invariant delay-differential equations with commensurated point delays in a control-theoretic context. The aim is to show that with a suitable algebraic setting a behavioral theory for dynamical systems described by such equations can be developed. The central object is an operator algebra which turns out to be an elementary divisor domain and thus provides the main tool for investigating the corresponding matrix equations. The book also reports the results obtained so far for delay-differential systems with noncommensurate delays. Moreover, whenever possible it points out similarities and differences to the behavioral theory of multidimensional systems, which is based on a great deal of algebraic structure itself. The presentation is introductory and self-contained. It should also be accessible to readers with no background in delay-differential equations or behavioral systems theory. The text should interest researchers and graduate students.

Gr Bner Bases In Control Theory And Signal Processing

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Author : Hyungju Park
language : en
Publisher: Walter de Gruyter
Release Date : 2011-12-22

Gr Bner Bases In Control Theory And Signal Processing written by Hyungju Park and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-22 with Mathematics categories.

This volume contains survey and original articles presenting the state of the art on the application of Gröbner bases in control theory and signal processing. The contributions are based on talks delivered at the Special Semester on Gröbner Bases and Related Methods at the Johann Radon Institute of Computational and Applied Mathematics (RICAM), Linz, Austria, in May 2006.