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Algebraic and symbolic computation m...

Zerz, Eva.

Algebraic and symbolic computation methods in dynamical systems /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Algebraic and symbolic computation methods in dynamical systems // Alban Quadrat, Eva Zerz, editors.
其他作者:	Quadrat, Alban.
出版者:	Cham :Springer, : c2020.,
面頁冊數:	xv, 311 p. :ill. (some col.) ; : 25 cm.;
標題:	Differential-algebraic equations. -
ISBN:	9783030383558 (hbk.) :

Algebraic and symbolic computation methods in dynamical systems /
Algebraic and symbolic computation methods in dynamical systems /Alban Quadrat, Eva Zerz, editors. - Cham :Springer,c2020. - xv, 311 p. :ill. (some col.) ;25 cm. - Advances in Delays and Dynamics ;v.9. - Advances in delays and dynamics ;v.1..

Includes bibliographical references and index.

This book aims at reviewing recent progress in the direction ofalgebraic 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 systemstheory 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 theart 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.

ISBN: 9783030383558 (hbk.) :NT3540Subjects--Topical Terms:

895956
Differential-algebraic equations.

LC Class. No.: QA372.5

Dewey Class. No.: 512/.56

Algebraic and symbolic computation methods in dynamical systems /
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050 # 4 $a QA372.5
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245 0 0 $a Algebraic and symbolic computation methods in dynamical systems / $c Alban Quadrat, Eva Zerz, editors.
260 # $a Cham : $b Springer, $c c2020.
300 $a xv, 311 p. : $b ill. (some col.) ; $c 25 cm.
490 1 $a Advances in Delays and Dynamics ; $v v.9
504 $a Includes bibliographical references and index.
520 # $a This book aims at reviewing recent progress in the direction ofalgebraic 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 systemstheory 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 theart 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.
650 # 0 $a Differential-algebraic equations. $3 895956
700 1 # $a Quadrat, Alban. $3 1241783
700 1 # $a Zerz, Eva. $3 1241784
830 0 $a Advances in delays and dynamics ; $v v.1. $3 1020174