| 椭圆极值原理与krein-Rutman定理以及抛物极值原理与算子半群 |
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| 引用本文： | 何开银.椭圆极值原理与krein-Rutman定理以及抛物极值原理与算子半群[J].闽西职业技术学院学报,2006,8(4):106-110. |
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| 作者姓名： | 何开银 |
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| 作者单位： | 闽西职业技术学院,文化传播系,福建,龙岩,364021 |
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| 摘 要： | 极值控制理论是现代控制理论的基础之一,在航天﹑航海﹑航空的指导﹑导航和控制方面都能用到4]。从椭圆极值原理与krein-Rutman定理结合,以及抛物极值原理与算子半群的关系中,了解弱极值原理在单调迭代中的应用,krein-Rutman定理是有限维的椭圆极值原理到无穷维的推广,算子半群也是从有限维的抛物极值原理到无穷维的推广,更加深刻地理解极值原理的意义,以便进一步研究(无穷维)动力系统的吸引子问题,特别是全局吸引子的存在性问题5]。
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| 关 键 词： | 极值 极值原理 椭圆 抛物 半群 |
| 文章编号： | 1673-4823(2006)04-0106-05 |
| 收稿时间： | 04 3 2006 12:00AM |
| 修稿时间： | 2006年4月3日 |
elliptic maximum principle and krein-Rutman theory with parabolic maximum principle and operator semigrou |
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| HE Kai-yin.elliptic maximum principle and krein-Rutman theory with parabolic maximum principle and operator semigrou[J].Journal of Minxi Vocational and Technival College,2006,8(4):106-110. |
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| Authors: | HE Kai-yin |
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| Institution: | Culture Communications Department of Minxi Vocational and Technical College, Longyan, Fujian, 364021, China |
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| Abstract: | The theory of maximum control is used in today as a base.It is widely used in guiding and controlling in spacing,sailing and aviating and so on.This paper combines the elliptic maximum principle with krein-Rutman theory,and combines parabolic maximum principle with operator semigroup.Through this,it helps to understand that weak maximum principle plays an important role in monotonous iteration.krein-Rutman theory is extended from maximum principle of the finite dimension of elliptic equation to infinite-dimension and so is the semigroup.And then,the maximum principle can be understood more deeply.All of the above is convenient to study the attractor of infinite-dimensional dynamical system,particularly the existence of the global attractor. |
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| Keywords: | maximum maximum principle ellipse parabola semigroup |
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