Science/Engineering Approximation of Large-Scale Dynamical Systems (Advances in Design and Control) (0898715296)

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Approximation of Large-Scale Dynamical Systems (Advances in Design and Control) (Advances in Design and Control)

By Athanasios C. Antoulas

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. This book is for anyone interested in model reduction. Graduate students and researchers in the fields of system and control theory, numerical analysis, and the theory of partial differential equations/computational fluid dynamics will find it an excellent reference. Contents 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.

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	Science/Engineering Harmonic Analysis and Rational Approximation: Their Rôles in Signals, Control and Dynamical Systems J.-D. Fournier, J. Grimm, J. Leblond, J.R. Partington “Harmonic Analysis and Rational Approximation:Their Rôles in Signals, Control and Dynamical Systems" Springer \| 2006-04-11 \| ISBN: 3540309225 \| 311 pages \| PDF \| 9,4 Mb
	Applied Dynamic Programming for Optimization of Dynamical Systems (Advances in Design and Control) Applied Dynamic Programming for Optimization of Dynamical Systems (Advances in Design and Control)260 pages \| Society for Industrial and Applied Mathematic (July 2005) \| ISBN: 0898715865 \| PDF \| 11 MbThe book is a welcome addition to the dy ...
	Science/Engineering Jan Lunze - Feedback Control of Large-Scale Systems Jan Lunze - Feedback Control of Large-Scale SystemsPublisher: Prentice Hall \| 1992-02 \| ISBN: 013318353X \| PDF \| 344 pages \| 10.72 MBThis book presents the basic methods of feedback control in large-scale systems, showing how multivariable ...
	Science/Engineering Harmonic Analysis and Rational Approximation: Their RÃ´les in Signals, Control and Dynamical Systems J.-D. Fournier, J. Grimm, J. Leblond, J.R. Partington â€œHarmonic Analysis and Rational Approximation:Their RÃ´les in Signals, Control and Dynamical Systems" Springer \| 2006-04-11 \| ISBN: 3540309225 \| 311 pages \| PDF \| 9,4 Mb
	Mathematics Harmonic Analysis and Rational Approximation: Their R?les in Signals, Control and Dynamical Systems (Lecture Notes in Control and Information Sciences) Author: Publisher: Springer (2006)Binding: Paperback, 311 pagespricer: $129.00ISBN-10: 3540309225editorialreviewsThis book - an outgrowth of a topical summer school - sets out to introduce non-specialists from physics and engineering to the ...
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