通过自动触发的冲动控制涉及延迟的延迟复杂动态网络进行本地同步
IEEE transactions on neural networks and learning systems
|September 10, 2024
概括
本研究提出了自触发冲动控制 (STIC) 的新标准,以在具有时间延迟的复杂动态网络 (CDN) 中实现本地同步. 该方法确保了同步并避免了Zeno行为,为延迟系统提供了更简单的实现.
科学领域:
- 复杂的系统复杂的系统.
- 控制理论 控制理论
- 网络科学 网络科学
背景情况:
- 复杂的动态网络 (CDN) 在各种科学领域都表现出关键的复杂行为.
- 在CDN中同步对于理解集体动态至关重要,但由于固有的时间延迟而具有挑战性.
- 现有的自触发冲动控制 (STIC) 方法经常忽视系统动态或冲动应用中的延迟.
研究的目的:
- 为STIC战略制定新的设计标准,以实现延迟CDN中的本地同步.
- 解决和整合网络连续和离散动态中存在的时间延迟.
- 为了确保在拟议的控制策略中避免Zeno行为.
主要方法:
- 使用利亚普诺夫-拉祖米金方法来分析系统稳定性和同步性.
- 使用比较原则来推导STIC战略的设计标准.
- 提出了一种具有明确表达式的新型自触发机制 (STM),用于直接计算触发瞬间.
主要成果:
- 建立了STIC的设计标准,保证了延迟脉冲的延迟CDN的本地同步.
- 拟议的STM提供了一种直接,简单,易于实施的控制触发的方法.
- 成功避免了Zeno行为,这是冲动控制系统中常见的问题.
- 在连续和离散系统动态中的时间延迟被全面考虑.
结论:
- 开发的STIC方法有效地实现了延迟CDN中的本地同步.
- 拟议的显式自触发机制简化了控制实施,避免了Zeno行为.
- 这些发现在控制具有时间延迟的复杂动态网络方面取得了重大进展.
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