| 一类含参数的分块对称矩阵的正定性及应用 |
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| 引用本文： | 金朝永.一类含参数的分块对称矩阵的正定性及应用[J].高校应用数学学报(A辑),2001,16(1):107-113. |
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| 作者姓名： | 金朝永 |
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| 作者单位： | 汕头大学数学系, |
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| 基金项目： | 国家自然科学基金!(1 970 1 0 2 2 )资助 |
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| 摘 要： | 首先给出一种判断分块对称矩阵正定的方法，提供了确定一组尽可能小的参数，使一类含参数的分块对称矩阵正定的简单算法，然后，将其结果用于研究线性定常大系统的分散镇定性，得到了一类可分散镇定的线性大系统，并给出了相应的分散镇定算法，同文献中提供的方法相比，该算法不仅扩大了所考虑的系统范围，而且不会引起过高的反馈增益，同时还简单易算。
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| 关 键 词： | 分块对称矩阵 正定性 线性大系统 分散镇定 反馈增益 对称短阵 Lyapunov方法 |
| 文章编号： | 1000-4424(2001)01-0107-07 |
| 修稿时间： | 1999年6月30日 |
POSITIVE DEFINITENESS OF A CLASS OF THE BLOCK SYMMETRIC MATRIX WITH PARAMETERS AND ITS APPLICATIONS |
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| Jin Chaoyong.POSITIVE DEFINITENESS OF A CLASS OF THE BLOCK SYMMETRIC MATRIX WITH PARAMETERS AND ITS APPLICATIONS[J].Applied Mathematics A Journal of Chinese Universities,2001,16(1):107-113. |
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| Authors: | Jin Chaoyong |
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| Abstract: | In this paper,a simple criterion of the positive definiteness of a class of symmetric block matrices with parameters is presented.Using it to study the decentralized stabilization of linear time invariant large scale systems,a class of linear interconnected systems which can be stabilized by a decentralized state feedback control are obtained.A simple algorithm for its determination is given.The main result of this paper as compared with the corresponding results in literature is to extend the considered class of systems without resulting in high decentralized gain and difficult numerical computation. |
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| Keywords: | Block Symmetric Matrix Positive Definiteness Linear Large Scale systems Decentralized Stabilization Feedback Gain |
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