通过非分离方法在有限时间中同步延迟的分数顺序完全复杂的有价值动态网络
Qiaokun Kang1, Qingxi Yang1, Jing Yang1
1Shijiazhuang Campus, Army Engineering University, Shijiazhuang 050003, China.
Entropy (Basel, Switzerland)
|July 8, 2023
概括
本研究介绍了一种用于具有延迟的复杂动态网络的有限时间同步 (FNTS) 的新方法. 该方法提高了控制效率,并分析了分数订单对结算时间的影响.
科学领域:
- 复杂的动态网络复杂的动态网络.
- 分数顺序的系统是分数顺序的系统.
- 非线性控制理论 不线性控制理论
背景情况:
- 分数级完全复杂值动态网络 (FFCDNs) 由于其复杂性和固有的延迟,存在独特的同步挑战.
- 现有的方法往往涉及复杂的分解,限制了它们的适用性.
- 控制这些系统需要先进的技术来管理内部和合延迟.
研究的目的:
- 调查延迟FFCDNs的有限时间同步 (FNTS) 问题.
- 开发一种新的控制策略,避免将其分解为实值网络.
- 分析系统参数,特别是分数顺序对同步性能的影响.
主要方法:
- 利阿普诺夫的直接构建功能用于稳定性分析.
- 为FFCDNs建立一个混合延迟分数顺序的数学模型.
- 设计了两种新的依赖延迟的控制器,使用不同的基于规范的方法.
- 分析分数顺序,功率定律和结算时间 (ST) 之间的关系.
主要成果:
- 一个新的分数顺序的FFCDNs的数学模型与混合延迟成功建立.
- 设计了两个有效的依赖延迟的控制器,提高了同步控制效率.
- 该研究提供了关于分数顺序和复杂网络定位时间之间的相互作用的见解.
- 数字模拟证实了拟议的同步控制方法的可行性和有效性.
结论:
- 拟议的基于直接Lyapunov函数的方法为延迟FFCDNs中的FNTS提供了一种有效的方法.
- 与现有方法相比,开发的控制器证明了同步控制效率的提高.
- 这些发现有助于更深入地了解复杂网络中的分数顺序动态及其控制.
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