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Herausgeber: 
  • Christian Lubich
  • Nicola Guglielmi
    Autor(en): 
  • Nicolas Gillis
  • Punit Sharma
  • Bart Vandereycken
  • Nicola Guglielmi
  • Volker Mehrmann
  • Christian Lubich
  • Recent Stability Issues for Linear Dynamical Systems: Cetraro, Italy 2021 
     

    (Buch)
    Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!


    Übersicht

    Auf mobile öffnen
     
    Lieferstatus:   Auf Bestellung (Lieferzeit unbekannt)
    Veröffentlichung:  Dezember 2024  
    Genre:  Schulbücher 
     
    convex and non-convex smooth optimization / Differential equations / dissipative Hamiltonian systems / distance to passivity / distance to stability / Dynamical systems / Eigenvalue optimization / fast gradient method
    ISBN:  9783031713255 
    EAN-Code: 
    9783031713255 
    Verlag:  Springer International Publishing 
    Einband:  Kartoniert  
    Sprache:  English  
    Dimensionen:  H 235 mm / B 155 mm / D  
    Seiten:  176 
    Illustration:  XI, 176 p. 18 illus., 15 illus. in color., farbige Illustrationen, schwarz-weiss Illustrationen 
    Zus. Info:  EUDR exemption - product or manufacturing materials placed on the market prior to 31.12.2025. 
    Bewertung: Titel bewerten / Meinung schreiben
    Inhalt:
    This book concerns matrix nearness problems in the framework of spectral optimization. It addresses some current research directions in spectral-based stability studies for differential equations, with material on ordinary differential equations (ODEs), differential algebraic equations and dynamical systems. Here, 'stability' is interpreted in a broad sense which covers the need to develop stable and reliable algorithms preserving some qualitative properties of the computed solutions, methodologies which are helpful to assess the onset of potential instabilities or loss of robustness, and tools to determine the asymptotic properties of the solution or its discretization.

    The topics considered include the computation of robustness measures for linear problems, the use of low-rank ODEs to approximate such measures via gradient systems, the regularity, stability, passivity and controllability analysis of structured linear descriptor systems, and the use of acceleration techniques to deal with some of the presented computational problems.

    Although the emphasis is on the numerical study of differential equations and dynamical systems, the book will also be of interest to researchers in matrix theory, spectral optimization and spectral graph theory, as well as in dynamical systems and systems theory.

      



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