| 运动稳定性的一种判定方法 |
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| 引用本文： | 何天明.运动稳定性的一种判定方法[J].航空学报,1994,15(2):232-235. |
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| 作者姓名： | 何天明 |
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| 作者单位： | 西北工业大学 |
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| 摘 要： | 根据矩阵相似变换理论将给定系统的系数矩阵Ａ＝［ａｉｊ］ｎ×ｎ简化为上Ｈｅｓｓｅｎｂｅｒｇ型,通过寻求简化后的判定阵Ｄ＝［ｄｉｊ］来判定原系统Ａ的稳定性。由于这种方法不需要求出系统系数矩阵的特征方程或特征根,给大系统分析带来一些方便。
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| 关 键 词： | 运动稳定性 数学变换 矩阵理论 |
A METHOD FOR DETERMINING THE STABILITY OF MOTION |
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| He Tianming.A METHOD FOR DETERMINING THE STABILITY OF MOTION[J].Acta Aeronautica et Astronautica Sinica,1994,15(2):232-235. |
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| Authors: | He Tianming |
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| Institution: | Box 79 of Northwestern Polytechnical University, Xi’an,710072 |
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| Abstract: | method for determining the stability of dynamic system is discussed in this paper.In the method the coefficient matrix of the differential equations of dynamical system A=(aij)n×n is transformed to upper Hessenberg fonn by similarity transformation. Based on the diagonal matrix D=dij] obtained by interative procedures of change parameters,the stability of origi-nal system A is determined.The characteristic equations or eigenvalues of the matrix A need not be calculated by this method,it is convenient to detennine the stability of large scale system.The application of the method is illustrated by an example. |
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| Keywords: | motion stability transformation mathematics matrix theory |
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