Approximation of Large-Scale Dynamical Systems: 6 (Advances in Design and Control, Series Number 6) - Softcover

Antoulas, Athanasios C.

9780898716580: Approximation of Large-Scale Dynamical Systems: 6 (Advances in Design and Control, Series Number 6)

Softcover

ISBN 10: 0898716586 ISBN 13: 9780898716580

Publisher: Society for Industrial and Applied Mathematics, 2009

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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.

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Review

'... this book contains a wealth of useful information and is the most authoritative presentation of the approximation techniques for large-scale dynamical systems available at the moment. The book is highly recommended to graduate students and researchers in the fields of system and control theory, and numerical analysis.' Petko Petkov, Mathematical Reviews

Book Description

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.

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