连续状态方程的计算机数值求解方法比较

讨论了三种连续状态方程的计算机数值求解方法，并比较了各种方法的性能．“离散状态方程法”与Ｅｕｌｅｒ法计算量相当，较Ｒｕｎｇｅ－Ｋｕｔｔａ法计算量要小．当输入信号变化较慢时，“离散状态方程法”具有较高的计算精度，远高于Ｅｕｌｅｒ法计算精度．特别地，当输入信号为阶跃信号或求方程齐次解时，该方法计算精度比其它任何一种数值算法都高

Comparisons Among Computer Numerical Solutions for Continuous Sate Equations

Three computer numerical solutions for continuous state equations are discussed in the paper, and their performances are compared also. The algorithms are Euler Runge Kutta and the method based on discrete state equations. The method based on discrete equations has the similar calculating quantity of Euler's, but less then Runge Kutta's. Assuming the input signals have slower variation rate, the method has better calculating accuracy, hetter than Euler's. Especially, if the input signals are step signals or the homogeneous solutions are needed only, the method has the best calculating accuracy then any of the others.