线性系统的广义Laplace变换

Generalized Laplace transformation of linear system

为了研究线性定常系统动态方程的解以及传递矩阵的有关性质,将函数的Laplace变换概念推广到矩阵函数上,建立了矩阵函数的广义Laplace变换概念,讨论了矩阵函数广义Laplace变换的相关性质;运用矩阵函数的广义Laplace变换给出线性定常系统动态方程的解及传递矩阵的Laplace变换形式,并给出矩阵指数函数的广义Laplace变换计算。

In order to study the solution of the time-invariant linear system dynamic equation and some characteristics of the transfer matrix, this paper applied the conception of Laplace transformation into matrix function, built the generalized I.aplace transformation conception of matrix function and discussed its relative characteristics. By using the generalized Laplace transformation of matrix function, this paper worked out the solution of the time-invariant linear system dynamic equation and the Laplace transformation pattern of the transfer matrix and the generalized Laplace transformation calculation of the matrix exponential function. 8 refs.