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基于半马尔科夫跳跃反应扩散CDN的动态内存协议同步
IEEE transactions on cybernetics
|March 3, 2025
概括
这项研究在复杂的动态网络中实现了同步,采用半马尔科夫切换拓,使用一种新的动态记忆事件触发协议. 这种方法增强了控制,并减少了随机系统的数据传输.
科学领域:
- 复杂的动态网络复杂的动态网络.
- 随机系统 随机系统是指随机系统.
- 控制理论 控制理论 控制理论
背景情况:
- 反应-扩散复杂的动态网络 (CDN) 表现出复杂的行为.
- 半马尔科夫过程在网络拓切换中引入了随机性.
- 事件触发的控制策略旨在减少通信负载.
研究的目的:
- 调查半马尔科夫切换拓的随机跳跃CDN中的同步.
- 开发一个动态记忆事件触发的协议,以加强控制.
- 在确保同步的同时减少数据传输.
主要方法:
- 利用半马尔科夫过程来建模随机拓切换.
- 提出了一个基于内部动态变量历史的动态记忆事件触发策略.
- 应用了贝塞尔-莱根德尔不等式,以尽量减少结果保守主义.
- 建立了基于部分微分方程和普通微分方程模型的同步条件.
主要成果:
- 实现了半马尔科夫切换拓的反应-扩散复杂动态网络的同步.
- 通过动态值参数证明了数据传输的减少.
- 通过衍生同步条件确保错误系统的随机稳定性.
- 用两个说明性例子验证了理论发现.
结论:
- 拟议的动态内存事件触发协议有效地同步静态跳跃CDN.
- 该方法提供了改进的控制性能和减少通信开销.
- 这些发现适用于基于PDE和ODE的复杂动态网络模型.
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