| 基于二阶系统解耦对非奇异解的研究 |
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| 引用本文： | 张善美,许峰.基于二阶系统解耦对非奇异解的研究[J].哈尔滨商业大学学报(自然科学版),2014(5):626-630. |
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| 作者姓名： | 张善美 许峰 |
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| 作者单位： | 安徽理工大学理学院,安徽淮南,232000 |
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| 摘 要： | 对求解齐次AX+XB=0方程非奇异解的研究,可以有效解决二阶系统解耦问题.但高阶系统无法通过正常的计算方法找到非奇异解,而且误差很高.针对由二阶系统变形来的AX+XB=0方程,并对其具有的特殊形式进行研究探讨,找到解的构造方法,从而更加准确的找到其非奇异解,将二阶系统进行有效的解耦,数值试验证明了该方法的可行性.
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| 关 键 词： | 二阶系统 AX+XB=0方程 非奇异解 系统解耦 |
Research on nonsingular solution of AX+XB=0 equation based on quadratic system decoupling |
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| ZHANG Shan-mei,XU Feng.Research on nonsingular solution of AX+XB=0 equation based on quadratic system decoupling[J].Journal of Harbin University of Commerce :Natural Sciences Edition,2014(5):626-630. |
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| Authors: | ZHANG Shan-mei XU Feng |
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| Institution: | ( School of Science, Anhui Ufiiversity of Science ＆ Technology, Huainan 232001, China) |
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| Abstract: | The research of nonsingular solution of the AX＋XB=0 equation solution can ef-fectively solve the decoupling problem of second order system .However , high-order system cannot find the singular solution through the calculation method of normal , and the error is very high .In this paper , by the deformation to the equation of second order system with spe-cial form of research , the solution of the method was found , which was more accurate to find the singular solution , and effectively decouple the second -order system.The results of nu-merical experiments showed this constitution method was a feasible one , which supplied a simple approach for nonsingular solution of the Sylvester equation . |
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| Keywords: | second order system AX+XB=0 equation nonsingular solution system de-coupling |
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