Generalized Homogeneity in Systems and Control - Couverture souple

Livre 59 sur 65: Communications and Control Engineering

Polyakov, Andrey

 
9783030384517: Generalized Homogeneity in Systems and Control
Couverture souple
ISBN 10 : 3030384519 ISBN 13 : 9783030384517
Editeur : Springer Nature Switzerland AG, 2021

Synopsis

This monograph introduces the theory of generalized homogeneous systems governed by differential equations in both Euclidean (finite-dimensional) and Banach/Hilbert (infinite-dimensional) spaces.  It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems. Generalized Homogeneity in Systems and Control is structured in two parts. Part I discusses various models of control systems and related tools for their analysis, including Lyapunov functions. Part II deals with the analysis and design of homogeneous control systems. Some of the key features of the text include:

  • mathematical models of dynamical systems in finite-dimensional and infinite-dimensional spaces;
  • the theory of linear dilations in Banach spaces;
  • homogeneous control and estimation;
  • simple methods for an "upgrade" of existing linear control laws;
  • numerical schemes for a consistent digital implementation of homogeneous algorithms; and
  • experiments confirming an improvement of PID controllers.

    • The advanced mathematical material will be of interest to researchers, mathematicians working in control theory and mathematically oriented control engineers.

    Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

    À propos de l?auteur

    Andrey Polyakov received his Ph.D. degree in Systems Analysis and Control from Voronezh State University in 2005, where he then acted as Assistant Professor until from 2008 to 2010. In 2007-2008, Dr Polyakov worked at CINVESTAV in Mexico. From 2010 to 2013, he was Lead Researcher of the Institute of the Control Sciences, Russian Academy of Sciences. Since 2013 he has been working at the NON-A team of Inria in Lille, France. His main research interests include mathematical methods in robust and nonlinear control. He has authored or co-authored over 150 publications, including the book Attractive Ellipsoids in Robust Control. He was the editor of the International Journal of Robust and Nonlinear Control, Journal of Optimization Theory and Applications (JOTA), and Automation and Remote Control.

    Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

    Éditeur
    Springer Nature Switzerland AG
    Date d'édition
    2021
    Langue
    anglais
    ISBN 10 
    3030384519
    ISBN 13 
    9783030384517
    Reliure
    Broché
    Nombre de pages
    465
    Coordonnées du fabricant
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    Autres éditions populaires du même titre

    9783030384487: Generalized Homogeneity in Systems and Control

    Edition présentée

    ISBN 10 :  3030384489 ISBN 13 :  9783030384487
    Editeur : Springer Nature Switzerland AG, 2020
    Couverture rigide