| 引用本文: | 刘智敏 ,李凤翎.矩阵的广义Schwarz形和多项式矩阵的稳定性[J].控制理论与应用,1987,4(2):37~46.[点击复制] |
| Liu Zhimin, Li Fengling.THE GENERALIZED SCHWARZ FORM OF MATRIX AND THE STABILITY OF MATRIX POLYNOMIALS[J].Control Theory and Technology,1987,4(2):37~46.[点击复制] |
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| 矩阵的广义Schwarz形和多项式矩阵的稳定性 |
| THE GENERALIZED SCHWARZ FORM OF MATRIX AND THE STABILITY OF MATRIX POLYNOMIALS |
| 摘要点击 885 全文点击 385 投稿时间：1984-01-03 修订日期：1986-10-17 |
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| DOI编号 |
| 1987,4(2):37-46 |
| 中文关键词 |
| 英文关键词 |
| 基金项目 |
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| 中文摘要 |
| 本文通过线性变换，对具有一般形式的多项式矩阵，建立了广义Routh数组和广义Schwarz形的概念，给出了由矩阵块状相伴标准形到广义Schwarz形的变换阵，利用Lyapunov第二定理，得到判别多项式矩阵稳定的充分条件，并把此结果运用到多变量控制系统中。 |
| 英文摘要 |
| This paper introduces the concepts of the generalized Routh array and Schwarz form for the matrix polynomials by linear transformation. We extend Leang-San’s and Shailendra’s results and give the transformation matrix from the block companion canonical form of matrix to the generalized Schwarz form. A sufficient condition is derived for determining the stability of matrix polynomials. This result is applied to multivariable control systems. |