Construction of the stabilization theory in the delayed feedback control and its applications
| Project/Area Number |
15K04953
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Mathematical analysis
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| Research Institution | Shizuoka University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
泰中 啓一 静岡大学, 創造科学技術大学院, 客員教授 (30142227)
内藤 敏機 電気通信大学, その他部局等, 名誉教授 (60004446)
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| Research Collaborator |
SHIN Jong Son 法政大学, 非常勤講師
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| Project Period (FY) |
2015-10-21 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
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| Keywords | 遅延型微分方程式 / 関数方程式 / 周期系 / 安定性 / 制御 / 遅延微分方程式 / スペクトル解析 |
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| Outline of Final Research Achievements |
For the purpose of construction of the theoretical framework of the delayed feedback control method, we engaged two themes, relaxing the restrictions to the gain in our results in 2011 and the analysis of the case which includes errors in the delay. Although we had not obtained the perfect solution, we could three new results. (1) We prove that Echo type of DF control which is a delayed feedback control with 1 advanced step time is effective. (2) We prove the necessary and sufficient condition of the Floquet multipliers of the periodic solution for DF control to be successful. (3) We prove that the existence of periodic solutions of nonhomogeneous linear systems generated from a periodic evolutionary process.
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Report
(4 results)
Research Products
(10 results)
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[Presentation] 時間遅れと安定性2016
Author(s)
宮崎倫子
Organizer
常微分方程式の定性的理論ワークショップ
Place of Presentation
島根大学（島根県松江市）
Year and Date
2016-09-22
Related Report
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