同时指出，利用神经网络不仅可以对系统的状态进行辨识，而且可以辨识其相对阶数，并给出了完整的证明。
In the meantime, it is proved strictly that not only the system states but also the relative degree can be identified by using the neural network.
计算量采用修正标量位，这样在同样的节点数下相对于矢量位它可以减少联立方程的阶数。
The modified scalar potential is used to reduce the order of the coupled equations in the comparison with the vector potential under the same node number.
针对一类系统相对阶小于系统阶数的非线性系统，提出了一种基于输入输出线性化的观测器设计方法。
An observer design approach based on input-output linearization for a class of nonlinear systems whose relative degree is less than its orders is proposed.
光束阶数越大、相干长度越小，部分相干平顶光束序列的相对束腰宽度扩散较快；
The influence of atmospheric turbulence on the relative beam width spreading is larger for PCFT beam array with larger beam order and smaller coherence length.
束宽和远场发散角的相对误差随球差系数绝对值的增加和光束阶数的减小而增加；
The relative errors of the beam width and far-field divergence angle introduced by the spherical aberration increase with increasing spherical aberration coefficient and decreasing beam order.
束宽和远场发散角的相对误差随球差系数绝对值的增加和光束阶数的减小而增加；
The relative errors of the beam width and far-field divergence angle introduced by the spherical aberration increase with increasing spherical aberration coefficient and decreasing beam order.
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