复杂的动态网络与随机链接动态的同步复杂的动态网络
Juanxia Zhao1, Yinhe Wang1, Peitao Gao2
1School of Automation, Guangdong University of Technology, Guangzhou 510006, China.
Entropy (Basel, Switzerland)
|October 28, 2023
概括
这项研究将复杂的动态网络 (CDN) 与随机链路动态同步. 一种新的控制策略确保节点和链接实现平均平方同步,从而导致一个随机网络拓.
科学领域:
- 复杂的系统复杂的系统.
- 网络科学 网络科学
- 随机系统 随机系统 随机系统
背景情况:
- 复杂的动态网络 (CDN) 表现出由节点和链路动态影响的复杂行为.
- 现有的研究往往忽视了CDN中链接演变的随机性质.
- 了解和控制这些随机动态对于网络的稳定性和功能至关重要.
研究的目的:
- 在具有随机链路动态的复杂动态网络 (CDN) 中研究平均平方同步问题.
- 提出一种新的控制策略,解决节点和链接子系统动态.
- 为了证明网络链接对随机参考信号的非对称跟踪.
主要方法:
- 将CDN建模成两个合的子系统:一个节点子系统和一个网络拓子系统.
- 使用两个向量随机微分方程与布朗运动来表示节点和链接的动态.
- 制定控制策略,将控制器集成到节点中,并在链接中使用合术语.
主要成果:
- 通过同时控制节点和链接,实现了CDN的平均平方同步.
- 引入了一个动态随机信号,用于链接到跟踪,以确保非对称的收.
- 证明控制策略导致CDN的随机最终拓结构.
- 模拟结果证实了拟议的控制策略的有效性和优越性.
结论:
- 拟议的控制策略有效地实现了复杂的动态网络与随机链路动态的平均平方同步.
- 连接动态控制和随机参考信号的集成使得可预测的网络行为和随机拓学成为可能.
- 这种方法提供了一个强大的方法来控制具有固有的随机性和不断变化的结构的复杂系统.
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