On a New Class of Realization Formulas and their Application
Document Type
Article
Publication Date
1996
Abstract
A new set of realization formulas is derived for a class of matrix-valued functions W(λ). These include the standard realization formulas for rational W(λ). Observability, controllability, and minimality are defined and characterized. Conditions for W(λ) to be (J1, J2) isometric and/or (J1, J2) coisometric with respect to a pair of signature matrices J1 and J2 are given in terms of the realizations. Minimal factorizations for square W(λ) are considered, and formulas for the factors are deduced. Associated reproducing kernel spaces (of pairs too) are discussed.
Recommended Citation
D. Alpay and H. Dym, On a new class of realization formulas and their application. In Linear Algebra and its Applications, Vol. 241-243, pages 3-84 (1996)
Peer Reviewed
1
Copyright
Elsevier
Comments
This article was originally published in Linear Algebra and its Applications, volume 241-243, in 1996. DOI: 10.1016/0024-3795(95)00602-8