One potential limitation of the dependency-preserving reachability analysis algorithm is the computational complexity associated with maintaining dependencies between initial states, inputs, and reachable states. As the system dimensionality increases, the number of dependencies to track also increases, leading to higher computational costs. Additionally, the algorithm may struggle with systems that have complex dynamics or non-linearities, as accurately preserving dependencies in such cases can be challenging. Another drawback is the conservatism introduced by the over-approximation error, which can lead to false positives in the verification results, classifying safe systems as unsafe due to the conservative nature of the analysis.