2011 Fiscal Year Final Research Report
Study of Control System Design on Banach Lattice
| Project/Area Number |
22760318
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Control engineering
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| Research Institution | Osaka University |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2011
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| Keywords | システム制御理論 / 安定化 / 無限次元システム / 時間遅れ / 半群理論 |
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| Research Abstract |
In this study, a unified approach to addressing a wide class of mathematical models that include ordinary differential equations, partial differential equations, and difference differential equations has been introduced using the semigroup theory. The stabilization method for such a class of systems has been established using the properties of a non-negative semigroup. However, the applicability of the method is restricted to a class of systems that satisfy the non-negativity assumption. To remove such a restrictive assumption that system coefficients are non-negative, a variable transformation method has been developed for stabilizing a system whose coefficients are not necessarily non-negative.
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