Algebraic and Symbolic Computation Methods in Dynamical Systems

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...

Full description

Bibliographic Details
Other Authors: Quadrat, Alban (Editor), Zerz, Eva (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2020, 2020
Edition:1st ed. 2020
Series:Advances in Delays and Dynamics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
LEADER 02984nmm a2200385 u 4500
001 EB001897603
003 EBX01000000000000001060608
005 00000000000000.0
007 cr|||||||||||||||||||||
008 200604 ||| eng
020 |a 9783030383565 
100 1 |a Quadrat, Alban  |e [editor] 
245 0 0 |a Algebraic and Symbolic Computation Methods in Dynamical Systems  |h Elektronische Ressource  |c edited by Alban Quadrat, Eva Zerz 
250 |a 1st ed. 2020 
260 |a Cham  |b Springer International Publishing  |c 2020, 2020 
300 |a XV, 311 p. 35 illus., 4 illus. in color  |b online resource 
505 0 |a State-Dependent Sampling for Online Control -- Design of First Order Controllers for Unstable Infinite Dimensional Plants -- Anti-Windup Conditioning for Actuator Saturation in Internal Model Control with Delays -- Stabilization of Some Fractional Neutral Delay Systems which Possibly Possess an Infinite Number of Unstable Poles -- Controller Design for a Class of Delayed and Constrained Systems: Application to Supply Chains 
653 |a Mechanics, Applied 
653 |a Calculus of Variations and Optimization 
653 |a Control theory 
653 |a Systems Theory, Control 
653 |a Multibody Systems and Mechanical Vibrations 
653 |a System theory 
653 |a Vibration 
653 |a Multibody systems 
653 |a Mathematical optimization 
653 |a Calculus of variations 
700 1 |a Zerz, Eva  |e [editor] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a Advances in Delays and Dynamics 
028 5 0 |a 10.1007/978-3-030-38356-5 
856 4 0 |u https://doi.org/10.1007/978-3-030-38356-5?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 003 
520 |a 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