2012 Fiscal Year Final Research Report
Research on geometric and algebraic structures of solutions and spectrums in hyperbolic - parabolic control systems
| Project/Area Number |
22540227
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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 | Kobe University |
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Principal Investigator |
NAMUBU Takao 神戸大学, 大学院・システム情報学研究科, 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, 准教授 (70278737)
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| Project Period (FY) |
2010 – 2012
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| Keywords | 関数方程式の大域理論 |
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| Research Abstract |
As for linear parabolic systems, (1) algebraic similarity of two independent boundary stabilization schemes was proven; (2) the smallest possible number of sensors and actuators necessary for stabilization was algebraically obtained; (3) stabilization of a coupled transport diffusion system with boundary of the firstkind was achieved; and (4) a specific feedback control scheme was designed, such that some linear functional of the "state" decays exactly faster than the state. As for linear hyperbolic systems, (5) an output tracking problem for a parallel-flow heat exchange process was achieved by the so-called backstepping approach.
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