| 基于约当三元组的二阶同谱对角化系统构造研究 |
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| 引用本文： | 匡林林,王淑娟,沈继红. 基于约当三元组的二阶同谱对角化系统构造研究[J]. 黑龙江大学自然科学学报, 2011, 28(2): 167-171 |
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| 作者姓名： | 匡林林 王淑娟 沈继红 |
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| 作者单位： | 哈尔滨工程大学理学院,哈尔滨,150001 |
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| 摘 要： | 二阶同谱对角化系统的构造一直是二阶系统解耦问题当中的难点.讨论根据约当三元组来构造同谱对角化系统的方法,给出可解耦系统的一般解耦形式.数值试验验证了所给结论的正确性.
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| 关 键 词： | 二阶系统 同谱 约当三元组 |
Research on construction of quadratic isospectral diagonal system based on Jordan triple |
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| KUANG Lin-lin,WANG Shu-juan,SHEN Ji-hong. Research on construction of quadratic isospectral diagonal system based on Jordan triple[J]. Journal of Natural Science of Heilongjiang University, 2011, 28(2): 167-171 |
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| Authors: | KUANG Lin-lin WANG Shu-juan SHEN Ji-hong |
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| Affiliation: | KUANG Lin-lin,WANG Shu-juan,SHEN Ji-hong (College of Science,Harbin Engineering University,Harbin 150001,China) |
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| Abstract: | The construction of quadratic isospectral diagonal systems have been the difficulties of the quadratic systems decoupling problem.A construction method of its isospectral diagonal systems based on the Jordan triple is discussed at large,and a general form of the able-decoupled systems is given.The conclusion is shown to be right by the given numerical experiments. |
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| Keywords: | quadratic systems isospectral Jordan triple |
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