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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bart, Harm (Autor), Gohberg, Israel (Autor), Kaashoek, Marinus A. (Autor), Ran, André C.M (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2008.
Edición:1st ed. 2008.
Colección:Linear Operators and Linear Systems, 178
Temas:
Operator theory.
Algebras, Linear.
Number theory.
Operator Theory.
Linear Algebra.
Number Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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