Approximation of large-scale dynamical systems [electronic resource] / 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 l...
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| Format: | Electronic eBook |
| Language: | English |
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Philadelphia, Pa. :
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),
©2005.
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| Series: | Advances in design and control ;
6. |
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Table of 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.