线性系统状态方程的逆算符解

THE INVERSE OPERATOR SOLUTION FOR STATE EQUATION OF LINEAR SYSTEM

应用逆算符理论方法解线性系统状态方程，给出ｍ项逼近解的算符表达式，该逼近解具有解分量的可推导性和递推关系，易于计算机程序实现和求解，可以任意高阶精度逼近真解，是分析线性系统的可行和有效方法．文中给出计算实例．

The inverse operator theory and method are applied to solution for state equation of linear system. An operator expression of m terms approximation solution is given, in which the solution components are calculable and mth component depends only on ahead components, they can be calculated easily with computer and approach the realistic solution with arbitrarily high order precision. So the inverse operation method is a practical one for analysis of linear system. A calculation example is given.