| Project/Area Number |
22540223
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Shizuoka University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
NAITO Toshiki 電気通信大学, その他, 名誉教授 (60004446)
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| Research Collaborator |
SHIN Jong SONG 法政大学, 非常勤講師
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| Project Period (FY) |
2010-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
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| Keywords | 関数微分方程式 / 遅延型微分方程式 / 周期解 / 安定性 / 遅延フィードバック制御 / Delayed Feedback 制御法 / 周期軌道 / 遅延微分方程式 / フロッケ理論 / 時間遅れを持つ微分方程式 / 差分方程式 / 時間遅れをもつ微分方程式 / Duffing方程式 / Delayed Feedback制御法 |
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| Outline of Final Research Achievements |
As one of the control techniques for achieving a stable periodic motion, a time delayed feedback control method was proposed by Pyragas in 1992. Since the method consists of a very simple control scheme, many applications are expected. In fact, many results have been reported. However, almost all the results are given by numerical experiments and not guaranteed mathematically. In this study, we succeeded in giving a mathematical guarantee of the controlling method. Moreover, we resummarized the mathematical matter required for the analysis.
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