| Presentation | 1996/9/12 Distance from a real Schur polynomial to the set of all real non-Schur polynomials : A study on the robustness of a real stable polynomial Hiroshi HASEGAWA, Isao YAMADA, Kohichi SAKANIWA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A rational discrete time system is stable if and only if its denominator polynomial has its all roots in |z| > 1. We call such polynomials as Schur polynomials. In IIR adaptive filtering, for example, it is required to change its coefficients keeping the system stable. It is also required to keep an IIR system stable against rounding off of its coefficients. For these reasons, it is desired to establish how to estimate the robustness of a Schur polynomial against coefficients' change. In our preceding paper, we defined the robustness of a complex Schur polynomial as the minimum distance between the coefficients of a given Schur. polynomial and those of all complex non-Schur polynomials and derived how to evaluate it. In this paper, as an expansion of our previous study, we consider the robustness of a real Schur polynomial. We define the robustness of a real Schur polynomial as the minimum Euclidean distance between the coefficients of a given Schur polynomial and those of all real non-Schur polynomials and derive how to evaluate it. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Stability / real Schur polynominal / robustness |
| Paper # | DSP-96-69,SP-96-44 |
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| Conference Information | |
| Committee | DSP |
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| Conference Date | 1996/9/12(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Digital Signal Processing (DSP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Distance from a real Schur polynomial to the set of all real non-Schur polynomials : A study on the robustness of a real stable polynomial |
| Sub Title (in English) | |
| Keyword(1) | Stability |
| Keyword(2) | real Schur polynominal |
| Keyword(3) | robustness |
| 1st Author's Name | Hiroshi HASEGAWA |
| 1st Author's Affiliation | Dept. of Electrical and Electronic Eng., Tokyo Institute of Technology() |
| 2nd Author's Name | Isao YAMADA |
| 2nd Author's Affiliation | Dept. of Electrical and Electronic Eng., Tokyo Institute of Technology |
| 3rd Author's Name | Kohichi SAKANIWA |
| 3rd Author's Affiliation | Dept. of Electrical and Electronic Eng., Tokyo Institute of Technology |
| Date | 1996/9/12 |
| Paper # | DSP-96-69,SP-96-44 |
| Volume (vol) | vol.96 |
| Number (no) | 238 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |