【摘要】 利用算子分解法，对采样系统Ｈ∞等价离散化中系统输入输出空间有限维化给出了新的证明，以一种新方法解决了一类混合系统在Ｈ∞控制意义下等价的离散问题。首先对文中所用的算子分解作了详细的阐述，然后用其证明所需的结论。相比之下，该方法更加直现，简单。更多还原

【Abstract】 An operator-decomposition method is implemented to prove concisely a technique that converts a hybrid system into an equivalent one with finite dimensional inputs and out-puts, which is an important procedure in the H∞ equivalent discretization of the sampled-data system. First, the decomposition method is illustrated in detail, then it is used to prove the desired proposition. This method is simpler and more dirct than the original one.更多还原