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判定非确定离散事件系统稳定性的多项式复杂度算法

Algorithms with polynomial complexity for determining the stability of nondeterministic discrete-event systems
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摘要 本文讨论基于非确定自动机/形式语言模型的非确定离散事件系统稳定性的多项式算法.在引入拟距离的概念之后,根据拟距离形式化地定义了非确定离散事件系统稳定性.以往判定非确定离散事件系统稳定性的算法基于系统的观测器实现,该观测器在结构上具有指数复杂度,因此本文分析系统结构和观测器结构之间的关系,基于对系统状态对的讨论,提出了判定系统稳定性的有效多项式搜索算法. The stability of discrete-event systems is studied based on nondeterministic automata/languages. The stability of nondeterministic discrete event systems is re-defined formally according to the definition of the quasi-distance between two states and state-subsets. An effective polynomial algorithm for determining the stability is proposed by investigating the state-pairs of the system.
作者 舒少龙 刘君
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2009年第11期1247-1250,共4页 Control Theory & Applications
基金 国家青年科学基金资助项目(60804042 60904019) 教育部科学研究重大项目(306023) 同济大学青年优秀人才培养行动计划资助项目
关键词 非确定自动机/形式语言模型 稳定性 梯度搜索 多项式复杂度 non-deterministic automata/languages stability gradient search polynomial complexity
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参考文献15

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