| Item type |
論文 / Article(1) |
| 公開日 |
2009-08-19 |
| タイトル |
|
|
タイトル |
Relaxed Monotonic Conditions for Schur Stability of Real Polynomials |
|
言語 |
en |
| 作成者 |
NGUYEN, V.
MORI, Yoshihiro
MORI, Takehiro
|
| アクセス権 |
|
|
アクセス権 |
open access |
|
アクセス権URI |
http://purl.org/coar/access_right/c_abf2 |
| 権利情報 |
|
|
言語 |
en |
|
権利情報 |
copyright©2007 IEICE |
| 主題 |
|
|
言語 |
en |
|
主題Scheme |
Other |
|
主題 |
monotonic condition |
| 主題 |
|
|
言語 |
en |
|
主題Scheme |
Other |
|
主題 |
Schur stability |
| 主題 |
|
|
言語 |
en |
|
主題Scheme |
Other |
|
主題 |
real polynomial |
| 主題 |
|
|
言語 |
en |
|
主題Scheme |
Other |
|
主題 |
sufficient condition |
| 主題 |
|
|
言語 |
en |
|
主題Scheme |
Other |
|
主題 |
Jury stability test |
| 内容記述 |
|
|
内容記述タイプ |
Abstract |
|
内容記述 |
Sufficient Schur stability conditions of polynomials are still of much use, although the exact conditions of several forms are available. For example, a preliminary simple check method would be preferable to the intensive computation requirement of the exact stability tests. So far, a number of sufficient conditions for the Schur stability of real polynomials has been studied in [1], [2], [4]-[9]. Among these conditions, monotonic condition [2] is a typical one for Schur stability of a real polynomial. The condition is so simple that it can be checked at a glance. The monotonic condition also possesses another feature: it requires the positivity of all the coefficients of a polynomial. These two features, simplicity and positivity, could fit in some specific control applications, where controller and controlled variables are invariably non-negative [11]. A typical amongst them is a controller design of certain communication networks in which controlled variable is queue length, a positive number [10]. The motivation of the present work originates from that design scheme, where relaxation of the strict inequalities in the monotomc condition was strongly desired. This leads to the results of this note. It is pointed out that by looking into the original proof in [2] closely, the required strict inequalities can be relaxed in such a way that equalities are allowed in all the inequalities but two which are located at appropriate positions. These results will be proven with several comments in Sect. 3 after stating the Schur stability test by Jury as a preliminary lemma in Sect. 2. Section 4 concludes the note. |
|
言語 |
en |
| 内容記述 |
|
|
内容記述タイプ |
Other |
|
内容記述 |
IEICE Trans. Fundamentals, Vol.E90-A, No.10, pp.2326-2328 T.V. Nguyen, Y. Mori, T. Mori 2007.10 |
|
言語 |
en |
| 内容記述 |
|
|
内容記述タイプ |
Other |
|
内容記述 |
Submitted by 附属図書館 KIT-Repository (dspace-admin@jim.kit.ac.jp) on 2009-03-24T07:19:10Z No. of bitstreams: 1 IEICE-E90-10.pdf: 70508 bytes, checksum: 9f3416d75d2b4f7fcbebd5645304e6d1 (MD5) |
|
言語 |
en |
| 内容記述 |
|
|
内容記述タイプ |
Other |
|
内容記述 |
Made available in DSpace on 2009-03-24T07:19:10Z (GMT). No. of bitstreams: 1 IEICE-E90-10.pdf: 70508 bytes, checksum: 9f3416d75d2b4f7fcbebd5645304e6d1 (MD5) Previous issue date: 2007-10 |
|
言語 |
en |
| 出版者 |
|
|
出版者 |
The Institute of Electronics,Information and Communication Engineers |
|
言語 |
en |
| 日付 |
|
|
日付 |
2007-10 |
|
日付タイプ |
Issued |
| 言語 |
|
|
言語 |
eng |
| 資源タイプ |
|
|
資源タイプ識別子 |
http://purl.org/coar/resource_type/c_6501 |
|
資源タイプ |
journal article |
| 出版タイプ |
|
|
出版タイプ |
VoR |
|
出版タイプResource |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| 関連情報 |
|
|
関連タイプ |
isIdenticalTo |
|
|
識別子タイプ |
DOI |
|
|
関連識別子 |
https://doi.org/10.1093/ietfec/e90-a.10.2326 |
| 関連情報 |
|
|
|
識別子タイプ |
URI |
|
|
関連識別子 |
http://www.ieice.org/jpn/trans_online/ |
| 収録物名 |
|
|
収録物名 |
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences |
|
言語 |
en |
| 巻 |
|
|
巻 |
E90-A |
| 号 |
|
|
号 |
10 |
| 開始ページ |
|
|
開始ページ |
2326 |
| 終了ページ |
|
|
終了ページ |
2328 |
IEICE-E90-10.pdf (68.9 KB)
