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Communications and Control Engineering

Generalized Homogeneity in Systems and Control

Authors: Polyakov, Andrey

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  • Provides a thorough introduction to the theory of generalized homogeneous systems
  • Discusses mathematical models of dynamic systems in finite- and infinite-dimensions
  • Supports all theory with illustrations, examples and simulations
  • Shows engineers how to enhance the precision of PID control
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eBook 106,99 €
price for Spain (gross)
  • ISBN 978-3-030-38449-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-030-38448-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

    About the authors

    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 ControlJournal of Optimization Theory and Applications (JOTA), and Automation and Remote Control.

    Table of contents (12 chapters)

    Table of contents (12 chapters)

    Buy this book

    eBook 106,99 €
    price for Spain (gross)
    • ISBN 978-3-030-38449-4
    • Digitally watermarked, DRM-free
    • Included format: EPUB, PDF
    • ebooks can be used on all reading devices
    • Immediate eBook download after purchase
    Hardcover 135,19 €
    price for Spain (gross)
    • ISBN 978-3-030-38448-7
    • Free shipping for individuals worldwide
    • Usually dispatched within 3 to 5 business days.
    • The final prices may differ from the prices shown due to specifics of VAT rules
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    Bibliographic Information

    Bibliographic Information
    Book Title
    Generalized Homogeneity in Systems and Control
    Authors
    Series Title
    Communications and Control Engineering
    Copyright
    2020
    Publisher
    Springer International Publishing
    Copyright Holder
    Springer Nature Switzerland AG
    eBook ISBN
    978-3-030-38449-4
    DOI
    10.1007/978-3-030-38449-4
    Hardcover ISBN
    978-3-030-38448-7
    Series ISSN
    0178-5354
    Edition Number
    1
    Number of Pages
    XVIII, 447
    Number of Illustrations
    19 b/w illustrations, 33 illustrations in colour
    Topics