| Paper Abstract and Keywords |
| Presentation |
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.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
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. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Nonlinear interconnected systems / Dissipation / Stability theory / Integral input-to-state stability / Small gain condition / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 106, no. 135, NLP2006-26, pp. 25-30, July 2006. |
| Paper # |
NLP2006-26 |
| Date of Issue |
2006-06-26 (NLP) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
|
| Conference Information |
| Committee |
NLP |
| Conference Date |
2006-07-03 - 2006-07-04 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Kanazawa Univ. |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
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| Paper Information |
| Registration To |
NLP |
| Conference Code |
2006-07-NLP |
| Language |
English |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Nonlinear Small-Gain Condition and State-Dependent Scaling Problem for Stability of Nonlinear Interconnected Systems |
| Sub Title (in English) |
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| Keyword(1) |
Nonlinear interconnected systems |
| Keyword(2) |
Dissipation |
| Keyword(3) |
Stability theory |
| Keyword(4) |
Integral input-to-state stability |
| Keyword(5) |
Small gain condition |
| Keyword(6) |
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| Keyword(7) |
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| 1st Author's Name |
Hiroshi Ito |
| 1st Author's Affiliation |
Kyushu Institute of Technology (Kyushu Inst. of Tech.) |
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| Speaker |
Author-1 |
| Date Time |
2006-07-03 14:20:00 |
| Presentation Time |
25 minutes |
| Registration for |
NLP |
| Paper # |
NLP2006-26 |
| Volume (vol) |
vol.106 |
| Number (no) |
no.135 |
| Page |
pp.25-30 |
| #Pages |
6 |
| Date of Issue |
2006-06-26 (NLP) |