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从系统矩阵直接分析线性系统稳定性
引用本文:易天元.从系统矩阵直接分析线性系统稳定性[J].武汉化工学院学报,1993(2).
作者姓名:易天元
作者单位:武汉化工学院自动化系
摘    要:提出了从系统矩阵直接分析线性定常系统稳定性的几个定理,把系统稳定性同系统矩阵的广义负定性联系起来,并进行了分析讨论;结果表明:该分析定理与线性系统的李雅普诺夫稳定性定理是一致的。

关 键 词:稳定性  系统矩阵  负定性

Direct Analysis for the Stability of Linear System with the System Matrix
Yi Tianyuan.Direct Analysis for the Stability of Linear System with the System Matrix[J].Journal of Wuhan Institute of Chemical Technology,1993(2).
Authors:Yi Tianyuan
Affiliation:Yi Tianyuan
Abstract:Some theorems for the determination of stability of linear system with the sys-tem matrix are presented. The relation between stability and the generalized negative definiteness of the system matrix is analytically discussed. The results show that the stability analysis theorem is consistent with the Liapunov stability theorem for linear systems.
Keywords:Stability! System matrix  Negative definiteness    
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