Algebraic and Symbolic Computation Methods in Dynamical Systems

Autor: Alban Quadrat, Eva Zerz
Přispěvatelé: OUtils de Résolution Algébriques pour la Géométrie et ses ApplicatioNs (OURAGAN), Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), RWTH Aachen University, Alban Quadrat, Eva Zerz, Rheinisch-Westfälische Technische Hochschule Aachen University (RWTH)
Jazyk: angličtina
Rok vydání: 2020
Předmět:
[INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC]
Dynamical systems theory
Computer science
Computation
Computer Algebra System
[MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA]
[MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA]
Ode
Algebraic Computation Methods
Symbolic computation
MESH: Algebraic Theories
Control Theory
Computer Algebra System
Symbolic Computatio
Method
Algebraic Computation Methods
Symbolic Computation Method
[SPI.AUTO]Engineering Sciences [physics]/Automatic
Algebra
Control theory
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
Real algebraic geometry
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
Algebraic number
Control Theory
Algebraic Theories
Differential (mathematics)
Zdroj: Alban Quadrat, Eva Zerz. 9, Springer, pp.311, 2020, Advances in Delays and Dynamics, 978-3-030-38355-8. ⟨10.1007/978-3-030-38356-5⟩
Alban Quadrat, Eva Zerz. Springer, 9, pp.311, 2020, Advances in Delays and Dynamics, 978-3-030-38355-8. ⟨10.1007/978-3-030-38356-5⟩
Advances in Delays and Dynamics ISBN: 9783030383558
DOI: 10.1007/978-3-030-38356-5⟩
Popis: International audience; 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.
Databáze: OpenAIRE
Externí odkaz: