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arXiv · 2407.08068

More on Maximally Permissive Similarity Control of Discrete Event Systems

Yu Wang·Zhaohui Zhu·Rob van Glabbeek·Shigemasa Takai·Jinjin Zhang·Lixing Tan
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Abstract

Takai proposed a method for constructing a maximally permissive supervisor for the similarity control problem (IEEE Transactions on Automatic Control, 66(7):3197-3204, 2021). This paper points out that this construction does not(necessarily) work when the specification is not image-finite. Inspired by Takai's construction, the notion of a (saturated) (G, R)-automaton is introduced and metatheorems concerning (maximally permissive) supervisors for the similarity control problem are provided in terms of this notion. As an application of these metatheorems, the flaws in Takai's work are corrected.

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Yu Wang, Zhaohui Zhu, Rob van Glabbeek, Shigemasa Takai, Jinjin Zhang, Lixing Tan. 2024-07-10. More on Maximally Permissive Similarity Control of Discrete Event Systems. https://arxiv.org/abs/2407.08068

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