Hierarchical Control for Continuous-time Systems via General Approximate Alternating Simulation Relations
Systems and Control
2026-05-05 v2 Systems and Control
Abstract
This paper introduces a general approximate alternating simulation relation (\emph{-gAAS relation}) for continuous-time systems, which relaxes existing simulation relations to tolerate larger mismatches between abstract and concrete models. The definition of gAAS for continuous-time systems is first proposed, and its properties are investigated. Then, a control refinement method is developed to enable hierarchical control for the gAAS relation. Finally, case studies demonstrate the effectiveness of the proposed approach, highlighting its advantages over existing methods.
Cite
@article{arxiv.2604.28108,
title = {Hierarchical Control for Continuous-time Systems via General Approximate Alternating Simulation Relations},
author = {Zhiyuan Huang and Shuo Li and Murat Arcak and Majid Zamani and Bingzhuo Zhong},
journal= {arXiv preprint arXiv:2604.28108},
year = {2026}
}