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.

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

Peer Reviewed

1

Copyright

Elsevier

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