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Approximation of large-scale dynamical systems / Athanasios C. Antoulas.

By: Material type: TextSeries: Advances in design and controlPublication details: Philadelphia : Society for Industrial and Applied Mathematics, c2005.Description: xxv, 479 p. : ill. (some col.) ; 26 cmISBN:
  • 0-89871-529-6 (print; print)
  • 978-0-89871-658-0 (print; print)
Subject(s): DDC classification:
  • 515/.39 22
Online resources:
Contents:
Introduction -- Motivating examples -- Tools from matrix theory -- Linear dynamical systems: part 1 -- Linear dynamical systems: part 2 -- Sylvester and Lyapunov equations -- Balancing and balanced approximations -- Hankel-norm approximation -- Special topics in SVD-based approximation methods -- Eigenvalue computations -- Model reduction using Krylov methods -- SVD-Krylov methods -- Case studies -- Epilogue -- Problems..
Summary: Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy has led to the development of highly complex models. However, in the presence of limited computational, accuracy, and storage capabilities, model reduction (system approximation) is often necessary. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications. Audience: anyone interested in model reduction, including graduate students and researchers in the fields of system and control theory, numerical analysis, and the theory of partial differential equations/computational fluid dynamics
Holdings
Cover image Item type Current library Home library Collection Shelving location Call number Materials specified Vol info URL Copy number Status Notes Date due Barcode Item holds Item hold queue priority Course reserves
Book Högskolan Väst Övre plan / Upper floor 515.39 Antoulas Available 6004300036934
Total holds: 0

Includes bibliographical references (p. 441-465) and index.

Introduction -- Motivating examples -- Tools from matrix theory -- Linear dynamical systems: part 1 -- Linear dynamical systems: part 2 -- Sylvester and Lyapunov equations -- Balancing and balanced approximations -- Hankel-norm approximation -- Special topics in SVD-based approximation methods -- Eigenvalue computations -- Model reduction using Krylov methods -- SVD-Krylov methods -- Case studies -- Epilogue -- Problems..

Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy has led to the development of highly complex models. However, in the presence of limited computational, accuracy, and storage capabilities, model reduction (system approximation) is often necessary. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications. Audience: anyone interested in model reduction, including graduate students and researchers in the fields of system and control theory, numerical analysis, and the theory of partial differential equations/computational fluid dynamics