| 基于谱信息的二阶系统解耦研究 |
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| 引用本文： | 沈继红,匡林林,王淑娟.基于谱信息的二阶系统解耦研究[J].哈尔滨商业大学学报(自然科学版),2011,27(4):587-589,597. |
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| 作者姓名： | 沈继红 匡林林 王淑娟 |
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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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| 基金项目： | 中央高校基金(GK2110260107) |
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| 摘 要： | 数值代数领域通过保持Lancaster结构来研究二阶系统的解耦问题,但寻找到解耦变换涉及到了非线性方程组求解问题,难以实现.提出了一个二阶系统解耦的新方法,根据解耦前后的同谱信息来确定解耦后的系统,将解耦变换的求解问题转化为齐次线性方程组的求解问题.数值试验验证了所给方法的正确性.
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| 关 键 词： | 二阶系统 同谱 标准型 系统解耦 |
Research on decoupled of quadratic systems based on eigenvalues data |
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| SHEN Ji-hong,KUANG Lin-lin,WANG Shu-juan.Research on decoupled of quadratic systems based on eigenvalues data[J].Journal of Harbin University of Commerce :Natural Sciences Edition,2011,27(4):587-589,597. |
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| Authors: | SHEN Ji-hong KUANG Lin-lin WANG Shu-juan |
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| Institution: | SHEN Ji-hong,KUANG Lin-lin,WANG Shu-juan (School 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 new construction method of its isospectral diagonal systems was proposed in this paper.The decoupled systems were identified by the isospectrality of systems,and the problem to solve decoupling transformations was converted to the solution of homogeneous system of linear equations.The method was shown to be feasible by the given numerical experiments. |
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| Keywords: | quadratic systems isospectral Jordan canonical form system decoupled |
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