摘要
根据若当标准形理论,首先引入亏损矩阵的广义特征向量及其伴随向量系概念,利用它们的双正交性解耦了灵敏度控制方程,其次通过分析解耦后的控制方程的恒等性条件,提出了亏损矩阵特征值的灵敏度分析算法,发展了若当标准形理论在亏损系统的解耦及控制中的应用范围。数值算例证明本文算法的正确性及有效性。
Based on the theory of standard form,the generalized eigen vector of the loss matrix and the concept of the adjoint vectors are introduced in this article.The sensitivity control equation is decoupled by their orthogonality.Then,by analyzing the identity of the decoupled control equation,the sensitivity analysis algorithm to the eigen value of the defective matrice has been proposed,and the application range of the standard form theory in the decoupleing and controlling of the loss system are developed.The numerical examples prove the correctness and validity of this algorithm.
出处
《长春工程学院学报（自然科学版）》
2017年第1期125-128,共4页
Journal of Changchun Institute of Technology：Natural Sciences Edition
基金
吉林省自然科学基金项目(20160101277JC)
吉林省大学生科技创新项目(201611437051)
长春工程学院校青年基金项目(320160018)
关键词
亏损矩阵
灵敏度分析
广义特征向量
正交规范
特征值
defective matrice
sensitivity analysis
generalized eigenvector
orthogonal specification
eigen value
