Linear Delay Differential Systems With Commensurate Delays An Algebra Approach
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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.
Linear Delay Differential Systems With Commensurate Delays An Algebraic Approach
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Author : Heide Gluesing-Luerssen
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-12-04
Linear Delay Differential Systems With Commensurate Delays An Algebraic Approach written by Heide Gluesing-Luerssen 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 2001-12-04 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.
Linear Delay Differential Systems With Commensurate Delays An Algebra Approach
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Author :
language : en
Publisher:
Release Date : 2002
Linear Delay Differential Systems With Commensurate Delays An Algebra Approach written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
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 Theory Of Feynman Path Integrals
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Author : Sergio Albeverio
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-05-30
Mathematical Theory Of Feynman Path Integrals written by Sergio Albeverio 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 2008-05-30 with Mathematics categories.
The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.
Sharp Real Part Theorems
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Author : Gershon Kresin
language : en
Publisher: Springer
Release Date : 2007-03-05
Sharp Real Part Theorems written by Gershon Kresin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-05 with Mathematics categories.
This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory.
Improved Bonferroni Inequalities Via Abstract Tubes
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Author : Klaus Dohmen
language : en
Publisher: Springer Science & Business Media
Release Date : 2003
Improved Bonferroni Inequalities Via Abstract Tubes written by Klaus Dohmen 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 2003 with Combinatorial analysis categories.
Enumerative Invariants In Algebraic Geometry And String Theory
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Author : Marcos Marino
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-22
Enumerative Invariants In Algebraic Geometry And String Theory written by Marcos Marino 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 2008-08-22 with Mathematics categories.
Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject.
Mathematical Models Of Granular Matter
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Author : Gianfranco Capriz
language : en
Publisher: Springer
Release Date : 2008-04-20
Mathematical Models Of Granular Matter written by Gianfranco Capriz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-20 with Technology & Engineering categories.
Granular matter displays a variety of peculiarities that distinguish it from other appearances studied in condensed matter physics and renders its overall mathematical modelling somewhat arduous. Prominent directions in the modelling granular flows are analyzed from various points of view. Foundational issues, numerical schemes and experimental results are discussed. The volume furnishes a rather complete overview of the current research trends in the mechanics of granular matter. Various chapters introduce the reader to different points of view and related techniques. New models describing granular bodies as complex bodies are presented. Results on the analysis of the inelastic Boltzmann equations are collected in different chapters. Gallavotti-Cohen symmetry is also discussed.
Mathematical Epidemiology
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Author : Fred Brauer
language : en
Publisher: Springer
Release Date : 2008-04-13
Mathematical Epidemiology written by Fred Brauer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-13 with Medical categories.
Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downloaded at the web site of the Centre for Disease Modeling (www.cdm.yorku.ca).