Introduction To Algebraic System Theory


Introduction To Algebraic System Theory
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Introduction To Algebraic System Theory


Introduction To Algebraic System Theory
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Author : Sain
language : en
Publisher: Academic Press
Release Date : 1981-07-23

Introduction To Algebraic System Theory written by Sain and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-07-23 with Computers categories.


Introduction to Algebraic System Theory



Introduction To Algebraic System Theory


Introduction To Algebraic System Theory
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Author : Michael K. Sain
language : en
Publisher:
Release Date : 1981

Introduction To Algebraic System Theory written by Michael K. Sain and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Algebra categories.


Introduction to algebraic system theory.



Mathematical Systems Theory I


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.



Operators Systems And Linear Algebra


Operators Systems And Linear Algebra
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Author : Dieter Prätzel-Wolters
language : de
Publisher: Springer-Verlag
Release Date : 2013-07-02

Operators Systems And Linear Algebra written by Dieter Prätzel-Wolters and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-02 with Technology & Engineering categories.




Introduction To Applied Algebraic Systems


Introduction To Applied Algebraic Systems
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Author : Norman R Reilly
language : en
Publisher: Oxford University Press
Release Date : 2009-11-02

Introduction To Applied Algebraic Systems written by Norman R Reilly and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-02 with Mathematics categories.


This upper-level undergraduate textbook provides a modern view of algebra with an eye to new applications that have arisen in recent years. A rigorous introduction to basic number theory, rings, fields, polynomial theory, groups, algebraic geometry and elliptic curves prepares students for exploring their practical applications related to storing, securing, retrieving and communicating information in the electronic world. It will serve as a textbook for an undergraduate course in algebra with a strong emphasis on applications. The book offers a brief introduction to elementary number theory as well as a fairly complete discussion of major algebraic systems (such as rings, fields, and groups) with a view of their use in bar coding, public key cryptosystems, error-correcting codes, counting techniques, and elliptic key cryptography. This is the only entry level text for algebraic systems that includes an extensive introduction to elliptic curves, a topic that has leaped to prominence due to its importance in the solution of Fermats Last Theorem and its incorporation into the rapidly expanding applications of elliptic curve cryptography in smart cards. Computer science students will appreciate the strong emphasis on the theory of polynomials, algebraic geometry and Groebner bases. The combination of a rigorous introduction to abstract algebra with a thorough coverage of its applications makes this book truly unique.



Algebraic And Symbolic Computation Methods In Dynamical Systems


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.



Algebraic Identification Of Smart Systems


Algebraic Identification Of Smart Systems
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Author : Natalia A. Serdyukova
language : en
Publisher: Springer Nature
Release Date : 2020-08-20

Algebraic Identification Of Smart Systems written by Natalia A. Serdyukova and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-20 with Technology & Engineering categories.


This book is a continuation of our recently published book “Algebraic formalization of smart systems. Theory and practice.” It incorporates a new concept of quasi-fractal algebraic systems, based on A.I. Maltsev’s theory of algebraic systems and the theory of fractals developed by Benoit Mandelbrot, to investigate smart systems in more detail. The main tool used in the book, quasi-fractal algebraic systems, helps us to see smart systems in more detail by adding new factors, which e.g. make it possible to describe the previously indivisible elements of the initial model of factors. The techniques presented include fixed-point theorem, theorems of group theory, theory of Boolean algebras, and Erdös-Renyi algorithms. Given its focus, the book is intended for anyone interested in smart system theory.



Introduction To Algebraic Quantum Field Theory


Introduction To Algebraic Quantum Field Theory
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Author : S.S. Horuzhy
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Introduction To Algebraic Quantum Field Theory written by S.S. Horuzhy 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.


'Et moi ..., si j'avait su comment en revenir, One service mathematics has rendered the human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shel.f next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.



Introduction To The Algebraic Theory Of Invariants Of Differential Equations


Introduction To The Algebraic Theory Of Invariants Of Differential Equations
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Author : Konstantin Sergeevich Sibirskiĭ
language : en
Publisher: Manchester University Press
Release Date : 1988

Introduction To The Algebraic Theory Of Invariants Of Differential Equations written by Konstantin Sergeevich Sibirskiĭ and has been published by Manchester University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Differential equations, Nonlinear categories.


Considers polynominal invariants & comitants of autonomous systems of differential equations with right-hand sides relative to various transformation groups of phase space. Contains an in-depth discussion of the two-dimensional system with quadratic right-hand sides. Features numerous applications to the qualitative theory of differential equations.



Introduction To Mathematical Systems Theory


Introduction To Mathematical Systems Theory
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Author : J.C. Willems
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

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 2013-11-11 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.