Overview
- The state space factorization method is systematically used and developed further for various classes of matrix and operator functions
- Emphasis is put on canonical factorization problems, including spectral and J-spectral factorizations problems and related Ricatti equations
- Elements of H-infinity control theory and the related Nehari approximation problem are covered
- Applications concern elements of H-infinity control theory and the related Nehari approximation problem, problems in mathematical analysis (inversion problems for singular integral equations and Wiener-Hopf integral equations, related Riemann Hilbert problems), and problems from mathematical physics (linear transport theory)
- A large part the book deals with rational matrix functions only
- Includes supplementary material: sn.pub/extras
Part of the book series: Operator Theory: Advances and Applications (OT, volume 200)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
About this book
Similar content being viewed by others
Keywords
Table of contents (21 chapters)
-
Riccati equations and factorization
-
Factorizations and symmetries
-
Applications of J-spectral factorizations
Reviews
From the reviews:
“This monograph develops a theory of canonical factorizations for various classes of matrix and operator functions, where the functions are represented in the form of a transfer function of an input-state-output linear system. … The book is self-contained and accessible for specialists in different areas of mathematics, science, and engineering.” (Dmitry Kaliuzhnyi-Verbovetskyi, Zentralblatt MATH, Vol. 1203, 2011)Authors and Affiliations
Bibliographic Information
Book Title: A State Space Approach to Canonical Factorization with Applications
Authors: Harm Bart, Marinus A. Kaashoek, André C. M. Ran
Series Title: Operator Theory: Advances and Applications
DOI: https://doi.org/10.1007/978-3-7643-8753-2
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2010
Hardcover ISBN: 978-3-7643-8752-5Published: 15 April 2010
eBook ISBN: 978-3-7643-8753-2Published: 09 February 2011
Series ISSN: 0255-0156
Series E-ISSN: 2296-4878
Edition Number: 1
Number of Pages: 432
Topics: Operator Theory, Linear and Multilinear Algebras, Matrix Theory, Operations Research, Management Science, Functions of a Complex Variable