The state variable approach of modern control theory provides a uniform and powerful method of representing systems of arbitrary order, linear or nonlinear, with time-varying or constant coefficients.

现代控制理论的状态变量法提供了一种统一、高效的方法来描述具有任意阶次、线性或非线性、时变或常系数的各种系统。

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Experiments show that this new approach requires less CPU time than the previous method.

实验结果表明，该方法在计算时间上明显优于原来的计算方法。

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First, the partial differential equations are transformed into discrete space, discrete time nonlinear difference equations through characteristic method and finite difference approach.

首先，通过特征线法和有限差分法得到了时间离散和空间离散的非线性状态方程。

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