1.

Record Nr.

UNISA996418260203316

Titolo

Algebraic and Symbolic Computation Methods in Dynamical Systems [[electronic resource] /] / edited by Alban Quadrat, Eva Zerz

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020

ISBN

3-030-38356-3

Edizione

[1st ed. 2020.]

Descrizione fisica

1 online resource (320 pages) : illustrations

Collana

Advances in Delays and Dynamics, , 2197-117X ; ; 9

Disciplina

512.56

Soggetti

System theory

Vibration

Dynamical systems

Dynamics

Calculus of variations

Systems Theory, Control

Vibration, Dynamical Systems, Control

Calculus of Variations and Optimal Control; Optimization

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes index.

Nota di contenuto

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.

Sommario/riassunto

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.