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arXiv 2608.10111eess.SYcs.SY

离散事件系统中局部观测一致性的复杂性

Complexity of Local Observation Consistency in Discrete-Event Systems

Tomáš Masopust

中文总结 AI 辅助

本文研究离散事件系统中局部观测一致性(LOC)与局部重标注观测一致性(LROC)的复杂性,证明非确定性被控对象下二者为PSpace完全问题,确定性被控对象下可多项式时间判定,为相关控制应用提供理论依据。

中文摘要 AI 辅助

部分观测下的分层与多智能体监督控制依赖于被控对象(plant)与其抽象模型间的局部一致性条件:分层控制的投影抽象对应局部观测一致性(LOC),多智能体系统的重标注抽象对应局部重标注观测一致性(LROC)。二者均为全局条件的配套条件,且已被应用但未确定其验证复杂性。本文证明,对于非确定性被控对象,LOC与LROC均为PSpace完全问题;对于确定性被控对象,二者可在多项式时间内判定。

英文摘要

Hierarchical and multi-agent supervisory control under partial observation relies on local consistency conditions between a plant and its abstraction: local observation consistency (LOC) for the projection abstractions of hierarchical control, and local relabeling observation consistency (LROC) for the relabeling abstractions of multi-agent systems. Both are companions to a global condition and both have been used without their verification complexity being settled. We show that both are PSpace-complete for nondeterministic plants and decidable in polynomial time for deterministic plants.

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