状态翻转控制设计用于稳定概率布尔控制网络
1School of Mathematics and Statistics, Shandong Normal University, Jinan, 250014, PR China.
概括
本研究引入了新的方法,用于局部稳定概率布尔控制网络 (PBCNs). 它开发了技术来确定吸引力域的有限时间稳定和稳定分布,增强控制理论.
科学领域:
- 控制理论 控制理论
- 网络科学 网络科学
- 系统工程 系统工程
背景情况:
- 稳定是现代控制理论的一个核心问题,对概率布尔控制网络 (PBCNs) 的全球稳定进行了广泛的研究.
- 现有的文献缺乏分析局部稳定性和确定PBCN吸引力领域的系统方法.
研究的目的:
- 通过研究PBCNs的本地状态反稳定来解决研究缺口.
- 探索局部有限时间状态反稳定与概率1 (FTSFS) 和局部状态反稳定在分布 (SFSD).
- 设计状态反控制器和状态翻转控制器,以实现稳定和确定吸引的领域.
主要方法:
- 构建一个可达到集合的序列,其概率为1以获得FTSFS最大的吸引力域.
- 构建一系列可达到的集合,具有确定SFSD最大吸引力域的正概率.
- 设计局部稳定状态反控制器和全球稳定状态翻转控制器.
主要成果:
- 对于PBCN的FTSFS,最大的吸引力领域是使用构建的可访问集和设计的控制器来得出的.
- 对于PBCN的SFSD,最大的吸引力领域是使用构造的可达集和设计的控制器来确定的.
- 国家翻转控制旨在实现全球FTSFS或SFSD,当吸引力最大的领域不是整个国家空间时.
结论:
- 本文成功开发了PBCN中局部稳定和吸引力确定领域的系统方法.
- 拟议的方法为有限时间稳定和分布稳定提供了标准.
- 该研究提供了一条途径,通过利用衍生领域的吸引力来实现全球稳定.
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