Composition of rational functions: state-space realization and applications Academic Article uri icon


  • We define two versions of compositions of matrix-valued rational functions of appropriate sizes and whenever analytic at infinity, offer a set of formulas for the corresponding state-space realization, in terms of the realizations of the original functions. Focusing on positive real functions, the first composition is applied to electrical circuits theory along with introducing a connection to networks of feedback loops. The second composition is applied to Stieltjes functions. Subjects: Complex Variables (math. CV) MSC classes: 08A02, 26C15, 37F10, 47B33, 47N70, 94C05 Cite as: arXiv: 1807.01753 [math. CV](or arXiv: 1807.01753 v1 [math. CV] for this version) Submission history From: Daniel Alpay A [view email][v1] Wed, 4 Jul 2018 19: 31: 09 GMT (26kb)

publication date

  • July 4, 2018