Algebraic and Symbolic Computation Methods in Dynamical Systems
Editors: Quadrat, Alban, Zerz, Eva (Eds.)
Free Preview- Presents recent progress in algebraic and symbolic computation methods for functional systems
- Includes illustrated and explicit examples of the presented material
- Written by experts in the field
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- About this book
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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.
- Table of contents (11 chapters)
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Effective Algebraic Analysis Approach to Linear Systems over Ore Algebras
Pages 3-52
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Equivalences of Linear Functional Systems
Pages 53-86
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Computing Polynomial Solutions and Annihilators of Integro-Differential Operators with Polynomial Coefficients
Pages 87-114
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Thomas Decomposition and Nonlinear Control Systems
Pages 117-146
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Some Control Observation Problems and Their Differential Algebraic Partial Solutions
Pages 147-160
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Table of contents (11 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Algebraic and Symbolic Computation Methods in Dynamical Systems
- Editors
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- Alban Quadrat
- Eva Zerz
- Series Title
- Advances in Delays and Dynamics
- Series Volume
- 9
- Copyright
- 2020
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-38356-5
- DOI
- 10.1007/978-3-030-38356-5
- Hardcover ISBN
- 978-3-030-38355-8
- Series ISSN
- 2197-117X
- Edition Number
- 1
- Number of Pages
- XV, 311
- Number of Illustrations
- 31 b/w illustrations, 4 illustrations in colour
- Topics
