Algebraic and Symbolic Computation Methods in Dynamical Systems. 1st ed. 2020

種類:

電子ブック

責任表示:

edited by Alban Quadrat, Eva Zerz

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2020

著者名:

• Quadrat, Alban.
• Zerz, Eva.
• SpringerLink (Online service)

シリーズ名:

Advances in Delays and Dynamics ; 9

ISBN:

9783030383565 [3030383563]    

注記:

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.
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 dir

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