Factorization of Matrix and Operator Functions: The State Space Method
The present book deals with factorization problems for matrix and operator functions. The problems originate from, or are motivated by, the theory of non-selfadjoint operators, the theory of matrix polynomials, mathematical systems and control theory, the theory of Riccati equations, inversion of co...
| Main Authors: | , , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser
2008, 2008
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| Edition: | 1st ed. 2008 |
| Series: | Linear Operators and Linear Systems
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Motivating Problems, Systems and Realizations
- Motivating Problems
- Operator Nodes, Systems, and Operations on Systems
- Various Classes of Systems
- Realization and Linearization of Operator Functions
- Factorization and Riccati Equations
- Canonical Factorization and Applications
- Minimal Realization and Minimal Factorization
- Minimal Systems
- Minimal Realizations and Pole-Zero Structure
- Minimal Factorization of Rational Matrix Functions
- Degree One Factors, Companion Based Rational Matrix Functions, and Job Scheduling
- Factorization into Degree One Factors
- Complete Factorization of Companion Based Matrix Functions
- Quasicomplete Factorization and Job Scheduling
- Stability of Factorization and of Invariant Subspaces
- Stability of Spectral Divisors
- Stability of Divisors
- Factorization of Real Matrix Functions