A design method and applications of periodic solutions in hybrid systems by variations of threshold values
| Project/Area Number |
25420373
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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 |
Communication/Network engineering
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| Research Institution | The University of Tokushima |
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Principal Investigator |
UETA TETSUSHI 徳島大学, 情報センター, 教授 (00243733)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2013: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Keywords | ハイブリッドシステム / リミットサイクル / ポアンカレ写像 / 安定性 / 周期軌道 / 区分非線形系 / 分岐 / カオス / アトラクタ / 周期 / しきい値 / カオス制御 |
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| Outline of Final Research Achievements |
We investigate a schematic approach for producing a desired-shape limit cycle by providing several different vector fields and threshold values. In a partial state space sectioned by the threshold values, a differential equation with fixed parameter values gives a family of flows for
initial values sets. By combining these partial state spaces, a limit cycle can be obtained. This can be regarded as a hybrid system. If one provide threshold values and corresponding partial spaces initially, our procedure may compute suitable position of threshold values to fit the desired-shape limit cycle. We study required technologies about computations of variational equation for threshold values, optimization methods. As an application, we propose an open loop control system realizing a limit cycle holding a desired stability for the a hybrid system. We also propose a framework as finite-state automata describing dynamics of the hybrid system.
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Report
(4 results)
Research Products
(49 results)
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[Presentation] 非線形結合における同期特性2014
Author(s)
菱川 健治, 伊藤 大輔, 上田 哲史
Organizer
電子情報通信学会非線形問題研究会
Place of Presentation
愛媛大学（愛媛県松山市）
Year and Date
2014-10-16 – 2014-10-17
Related Report
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[Presentation] LEDホタルによる自然ホタルの強制同期2014
Author(s)
辻 明典, 藤岡 慧明, 伊藤 大輔, 木本 圭子, 合原 一究, 関川 宗久，上田 哲史, 合原 一幸, 川上 博
Organizer
電気関係学会四国支部連合大会
Place of Presentation
徳島大学（徳島県徳島市）
Year and Date
2014-09-13
Related Report
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