Patrick Dewilde (Technische Universitat Munchen), Klaus Diepold (Technische Universitat Munchen), Alle-Jan Van der Veen (The Netherlan Technische Universiteit Delft

Time-Variant and Quasi-separable Systems

• Gebundenes Buch

Produktbeschreibung

This book presents a novel approach to the theory of dynamical systems using computational matrix algebra. It provides everything necessary to allow readers to develop recursive computational schemes needed to solve practical problems. Ideal for graduate students in electrical and computer engineering, computer science and applied mathematics.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 332
• Erscheinungstermin: 31. Oktober 2024
• Englisch
• Abmessung: 250mm x 175mm x 22mm
• Gewicht: 736g
• ISBN-13: 9781009455626
• ISBN-10: 1009455621
• Artikelnr.: 70676070

Autorenporträt

Patrick Dewilde was a professor at the Delft University of Technology for 31 years and previously Director of the Delft Institute for Microelectronics, Chairman of a major Dutch research funding agency and Director of the Institute of Advanced Study of the Technical University of Munich. He is an Institute of Electrical and Electronics Engineers (IEEE) Fellow, a winner of the IEEE Belevitch Award and an elected member of the Dutch Royal Academy of Arts and Science.

Inhaltsangabe

Part I. Lectures on Basics, with Examples: 1. A first example: optimal quadratic control
2. Dynamical systems
3. LTV (quasi-separable) systems
4. System identification
5. State equivalence, state reduction
6. Elementary operations
7. Inner operators and external factorizations
8. Inner-outer factorization
9. The Kalman filter as an application
10. Polynomial representations
11. Quasi-separable Moore-Penrose inversion
Part II. Further Contributions to Matrix Theory: 12. LU (spectral) factorization
13. Matrix Schur interpolation
14. The scattering picture
15. Constrained interpolation
16. Constrained model reduction
17. Isometric embedding for causal contractions
Appendix. Data model and implementations
References
Index.