Uncertainty is an important feature of dynamic systems, and entropy has been widely used to measure this attribute. In this Letter, we prove that state aggregation and decomposition can decrease and increase the entropy, respectively, of dynamic systems. More than 20 popular entropies in the literature are summarized and analyzed, and it is noted that none of them breaks this property. Finally, pertinent proofs are given for four cases.

翻译：不确定性是动态系统的一个重要特征,而酶已被广泛用于测量这一属性。在本信中,我们证明状态的聚合和分解可以分别减少和增加动态系统的酶。对文献中20多个流行的异种进行了总结和分析,并发现其中没有任何一种会打破这一属性。最后,为四个案例提供了相关的证据。