| Project/Area Number |
25400164
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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 | Kobe University |
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Principal Investigator |
Nambu Takao 神戸大学, システム情報額研究科, 名誉教授 (40156013)
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| Co-Investigator(Kenkyū-buntansha) |
SANO HIDEKI 神戸大学, 大学院システム情報学研究科, 教授 (70278737)
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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 |
¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | 安定化論 / 擬似内部構造 / 無限次元作用素方程式 / 境界制御系 / C_0-半群論 / 無限次元Sylvester方程式 / 極再配置理論 |
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| Outline of Final Research Achievements |
Stabilization problems for infinite-dimensional linear control systems are studied through algebraic/geometric approaches. The systems consist of parabolic ones generating analytic semigroups, and of those generating C_0-semigroups lying between parabolic and hyperbolic systems. Control laws are based on the scheme of boundary observation/boundary feedback. As for the closed coefficient operators of the systems, no assumption is made on the existence of any finite-dimensional approximation such as a Riesz basis. The stabilization law is based on a unified principle via an infinite-dimensional operator equation, the so called Sylvester equation, and turns out to be applied to a fairly broad class of linear systems. Another specific feedback control law is also constructed, such that, while the system being stabilized, a class of non-trivial outputs decay faster
than the state.
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