Contact us on (02) 8445 2300
For all customer service and order enquiries

Woodslane Online Catalogues

9780898716580 Academic Inspection Copy

Approximation of Large-Scale Dynamical Systems

Description
Table of
Contents
Sales
Points
Reviews
Google
Preview
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.
List of Figures Foreword Preface How to Use this Book Part I: Introduction. Chapter 1: Introduction Chapter 2: Motivating Examples Part II: Preliminaries. Chapter 3: Tools from Matrix Theory Chapter 4: Linear Dynamical Systems: Part 1 Chapter 5: Linear Dynamical Systems: Part 2 Chapter 6: Sylvester and Lyapunov equations Part III: SVD-based Approximation Methods. Chapter 7: Balancing and balanced approximations Chapter 8: Hankel-norm Approximation Chapter 9: Special topics in SVD-based approximation methods Part IV: Krylov-based Approximation Methods Chapter 10: Eigenvalue Computations Chapter 11: Model Reduction Using Krylov Methods Part V: SVD-Krylov Methods and Case Studies. Chapter 12: SVD-Krylov Methods Chapter 13: Case Studies Chapter 14: Epilogue Chapter 15: Problems Bibliography Index.
Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction.
'... 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
Google Preview content