论文标题
关于通过状态聚集粗粒和状态分解细粒度的动态系统不确定性的不确定性
On Uncertainty of Dynamic Systems via State Aggregation Coarse-Graining and State Decomposition Fine-Graining Ways
论文作者
论文摘要
不确定性是动态系统的重要特征，熵已被广泛用于测量此属性。在这封信中，我们证明状态聚集和分解可以分别减少和增加动态系统的熵。总结了和分析文献中20多个流行的熵，据指出，它们都没有破坏这一属性。最后，为四个案例提供了相关证明。
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.
