Abstract
The problem of eliminating the right half plane zeros of an rmvf (rational matrix valued function) G(z) with minimal realization G(z) = D + C(zI n - A)-1B by multiplication on the right by a suitably chosen J-inner rmvf Θ(z) is studied. The analysis exploits the theory of Smith-McMillan forms to extend the method of J-lossless conjugators that was introduced by Kimura to more general settings.
| Original language | English |
|---|---|
| Pages (from-to) | 1-26 |
| Number of pages | 26 |
| Journal | Linear Algebra and Its Applications |
| Volume | 404 |
| Issue number | 1-3 |
| DOIs | |
| State | Published - 15 Jul 2005 |
Bibliographical note
Funding Information:This research was partially supported by the German–Israeli Foundation for Scientific Research and Development under a G.I.F. grant and by the Israel Science Foundation under grant 300/02; HD thanks Renee and Jay Weiss for endowing the Chair that supports his research. ∗ Corresponding author. Tel.: +972 8 934 2902; fax: +972 8 934 4308. E-mail addresses: [email protected] (H. Dym), [email protected] (S. Nevo).
Funding
This research was partially supported by the German–Israeli Foundation for Scientific Research and Development under a G.I.F. grant and by the Israel Science Foundation under grant 300/02; HD thanks Renee and Jay Weiss for endowing the Chair that supports his research. ∗ Corresponding author. Tel.: +972 8 934 2902; fax: +972 8 934 4308. E-mail addresses: [email protected] (H. Dym), [email protected] (S. Nevo).
| Funders | Funder number |
|---|---|
| G.I.F. | |
| German-Israeli Foundation for Scientific Research and Development | |
| Israel Science Foundation | 300/02 |
Keywords
- J-inner matrix valued functions
- J-lossless conjugators
- Pole cancellation
- Riccati equations
- Smith-McMillan forms
- Stability
- Zero cancellation