Abstract
The main problem addressed in this chapter is the realization problem for operatorvalued functions. Given such a function the problem is to find a system for which the transfer function coincides with the given function. In the first section we consider rational operator functions, and in the second analytic ones. In Section 4.3 it is shown that, in a certain sense, the transfer function of a system with an invertible external operator can be reduced to a linear function, and we use this reduction to describe the singularities of the transfer function. In the final section a connection between Schur complements and linearization is described.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2008 Birkhäuser Verlag AG
About this chapter
Cite this chapter
(2008). Realization and Linearization of Operator Functions. In: Factorization of Matrix and Operator Functions: The State Space Method. Operator Theory: Advances and Applications, vol 178. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8268-1_5
Download citation
DOI: https://doi.org/10.1007/978-3-7643-8268-1_5
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8267-4
Online ISBN: 978-3-7643-8268-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)