| 講演抄録／キーワード |
| 講演名 |
2006-07-03 14:20
Nonlinear Small-Gain Condition and State-Dependent Scaling Problem for Stability of Nonlinear Interconnected Systems
○Hiroshi Ito（Kyushu Inst. of Tech.） |
| 抄録 |
（和） |
This paper is devoted to the illustration of the basic philosophy and the effectiveness of the iISS-ISS small-gain theorem which has been developed by the author recently. The iISS-ISS small-gain theorem is a theoretical tool for establishing stability of nonlinear interconnected systems. By presenting a primitive example whose stability properties can be easily estimated intuitively, this paper explains how the traditional stability tools fail and how efficiently the iISS-ISS small-gain theorem answers the question of stability successfully. It is also demonstrated that the iISS-ISS small-gain theorem is a special case of the framework of state-dependent scaling problems. |
| （英） |
This paper is devoted to the illustration of the basic philosophy and the effectiveness of the iISS-ISS small-gain theorem which has been developed by the author recently. The iISS-ISS small-gain theorem is a theoretical tool for establishing stability of nonlinear interconnected systems. By presenting a primitive example whose stability properties can be easily estimated intuitively, this paper explains how the traditional stability tools fail and how efficiently the iISS-ISS small-gain theorem answers the question of stability successfully. It is also demonstrated that the iISS-ISS small-gain theorem is a special case of the framework of state-dependent scaling problems. |
| キーワード |
（和） |
非線形結合システム / 消散性 / 安定論 / 積分型状態入力安定性 / 小ゲイン条件 / / / |
| （英） |
Nonlinear interconnected systems / Dissipation / Stability theory / Integral input-to-state stability / Small gain condition / / / |
| 文献情報 |
信学技報, vol. 106, no. 135, NLP2006-26, pp. 25-30, 2006年7月. |
| 資料番号 |
NLP2006-26 |
| 発行日 |
2006-06-26 (NLP) |
| ISSN |
Print edition: ISSN 0913-5685 |
| PDFダウンロード |
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