在网络上切换中性菲利普洛夫系统的实用固定时间控制
IEEE transactions on cybernetics
|February 18, 2026
概括
本研究介绍了切换中性菲利普诺夫系统的实用固定时间控制,用新的利亚普诺夫不等式增强稳定性分析,并解决准确状态趋同的现实世界的局限性.
科学领域:
- 控制理论 控制理论
- 非线性系统分析 非线性系统分析
- 网络化系统 网络化系统
背景情况:
- 交换中性菲利普洛夫系统 (SNFS) 由于不连续的扰动和中性逻辑而存在挑战.
- 现有的有限时间控制方法在现实应用中往往缺乏实践准确性.
研究的目的:
- 为网络上的 SNFS 开发实用的固定时间 (FxT) 控制策略.
- 为具有不连续扰动和延迟的系统建立新的稳定性分析技术.
- 解决现有的有限时间控制在实现准确的状态趋同方面存在的局限性.
主要方法:
- 开发新的Lyapunov不等式与不确定的函数用于结算时间 (ST) 估计.
- 建立实际的FxT稳定性定理,具有有限的无限函数.
- 使用Lyapunov-Krasovskii函数 (LKFs) 来处理系统延迟的自适应控制策略的设计.
主要成果:
- 新型Lyapunov不等式提供了详细的ST估计,包括现有结果.
- 首次引入了有界无限函数的实用FxT稳定性定理.
- 适应性控制成功实现了SNFS的FxT和实用FxT同步,具有延迟.
- 解决了使用Lyapunov函数的延迟系统的FxT稳定性分析中的理论缺陷.
结论:
- 提出的方法为SNFS的FxT控制提供了更实用的方法,特别是在网络环境中.
- 该研究克服了分析和控制延迟SNFSs的关键理论和实践挑战.
- 在LC输电线路上的数值模拟验证了开发的控制策略的有效性.
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