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状态方程求解中的拉格朗日插值公式应用
AN APPLLICATION OF LAGRANGE'S INTERPOLATION FORMULA INSQUARE MATRIX FORM TO THE SOLUTION OF STATE EQUATION
【摘要】 用对角矩阵及相似矩阵性质证明了;当状态转移矩阵e ̄(At)中方阵A的特征根相异时,拉格朗日插值公式与Laplace变换法对e ̄(et)表达具有一致性,并用极限方法对方阵A含二重根时拉格朗日插值公式的应用进行了报导.
【Abstract】 The comparison between the method of Laplace Transform and that of Lagrange's interpolationformula in square matrix form is made, Also the form of Lagrange's interpolation formula isgeneralized to include the double root case. The application of the generalized Lagrange' s interpolationformula in square matrix to solving state equations is found to be effective.
【关键词】 状态转移矩阵;
拉格朗日插值公式;
特征根;
特征向量矩阵;
【Key words】 :Lagrnages interpolation formula; Slale lransilion malrix; Characlerislic root; Characteristicvector matrix.;
【Key words】 :Lagrnages interpolation formula; Slale lransilion malrix; Characlerislic root; Characteristicvector matrix.;
- 【文献出处】 成都气象学院学报 ,JOURNAL OF CHENGDU INSTITUTE OF METEOROLOGY , 编辑部邮箱 ,1995年03期
- 【分类号】O151.21
- 【下载频次】331