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...
Đã lưu trong:
| Những tác giả chính: | , , , |
|---|---|
| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Phiên bản: | 1st ed. 2008. |
| Loạt: | Linear Operators and Linear Systems
178 |
| Những chủ đề: | |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
L'impression du document génère 408 p. Autre(s) contributeur(s) : André C. M. Ran (auteur) Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Factorization of matrix and operator functions, the state space method, Harm Bart, Israel Gohberg, Marinus A. Kaashoek, [et al.], 2008, Basel, Birkhäuser, 1 vol. (XII-409 p.), Operator theory, advances and applications, 3-7643-8267-8 • Factorization of Matrix and Operator Functions: The State Space Method, Texte imprimé, 9783764391911 • Factorization of matrix and operator functions, the state space method, Harm Bart, Israel Gohberg, Marinus A. Kaashoek, [et al.], 2008, Basel, Birkhäuser, 1 vol. (XII-409 p.), Operator theory, advances and applications, 3-7643-8267-8 |
Mục lục:
- 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