| 线性系统的核空间、象空间、不变子空间的直观诠释 |
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| 引用本文： | 韩肖宁,董欣,冯帆.线性系统的核空间、象空间、不变子空间的直观诠释[J].电力学报,2010,25(6):496-499. |
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| 作者姓名： | 韩肖宁 董欣 冯帆 |
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| 作者单位： | 山西大学工程学院;太原理工大学; |
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| 摘 要： | "线性系统的几何理论"是将线性系统的动态分析转化为状态空间中相应的几何问题。这种几何方法的特点是简洁明了,避免了状态空间中大量繁杂的矩阵推演计算。拟从核空间、象空间、不变子空间入手,给予它以直观的诠释。目前,几何理论已广泛应用于系统分析与综合中,特别是Robust调节器设计有关定理证明,自始至终都使用了核空间、象空间的概念与计算方法。
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| 关 键 词： | 线性系统几何理论 核空间 象空间 不变子空间 |
The Intuitive Interpretation of Kernel Space, Image Space and Invariant Subspace in Linear System |
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| HAN Xiao-ning,DONG Xin,FENG Fan.The Intuitive Interpretation of Kernel Space, Image Space and Invariant Subspace in Linear System[J].Journal of Electric Power,2010,25(6):496-499. |
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| Authors: | HAN Xiao-ning DONG Xin FENG Fan |
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| Affiliation: | HAN Xiao-ning1,DONG Xin2,FENG Fan2(1.Engineering College of Shanxi University,Taiyuan 030013,China,2.Taiyuan University of Technology,Taiyuan 030024,China) |
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| Abstract: | Geometric Principle of Linear System is the one that the dynamic behavior analysis is transformed into the correspondent geometric approach in the state space.The particularity of geometric principles is brief and clear,and escapes the tremendous complicated matrix calculation.This paper begins with the concepts of kernel space,image space and invariant subspace.And these concepts are discussed by distinct interpretation.Now,geometric principles are widely applied to the analysis and synthesis of system.Esp... |
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| Keywords: | geometric principle of linear system kernel space image space invariant subspace |
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