对于带有半马科夫交换的冲动复杂网络的有限时间和固定时间的新型自适应同步
Qianhua Fu1, Wenbo Jiang1, Shouming Zhong2
1School of Electrical Engineering and Electronic Information, Xihua University, Chengdu 610039, PR China.
ISA transactions
|October 2, 2023
概括
本研究涉及有限时间 (FNT) 和固定时间 (FXT) 在具有半马科维亚交换和冲动的复杂网络中的同步. 新型自适应控制方案确保FNT和FXT同步,并计算定位时间.
科学领域:
- 控制理论 控制理论
- 网络科学 网络科学
- 动态系统 动态系统
背景情况:
- 复杂网络 (CN) 呈现出复杂的动态.
- 半马科维亚切换和冲动效应在同步中带来了挑战.
- 有限时间 (FNT) 和固定时间 (FXT) 控制对于实际应用至关重要.
研究的目的:
- 研究具有半马科夫交换和冲动效应的复杂网络 (CNs) 的有限时间 (FNT) 和固定时间 (FXT) 同步.
- 开发新的混合适应性控制方案,以实现FNT和FXT同步.
- 建立FNT和FXT同步和计算结算时间的标准.
主要方法:
- 使用比较原则扩展FNT和FXT稳定性标准用于冲动动态系统.
- 设计两种混合控制方案,包括自适应增益和切换状态反.
- 应用克罗内克的积分,利亚普诺夫-克拉索夫斯基的功能和不等式技术.
- 在低维线性矩阵不等式 (LMI) 中制定同步标准.
主要成果:
- 建立了一个统一的标准 FNT 和 FXT 稳定性的冲动动态系统与时间变化的延迟.
- 新的自适应性FNT和FXT同步标准用于半马科维亚切换的冲动性CN.
- 提出的标准是用低维线性矩阵不等式 (LMI) 表示的.
- 计算了FNT和FXT同步的结算时间.
结论:
- 开发的自适应控制方案有效地实现了FNT和FXT同步,在复杂的网络中使用半马科维亚交换和冲动.
- 由此衍生出的基于LMI的标准为分析同步提供了一个计算效率高的方法.
- 模拟结果验证了拟议的自适应同步策略的有效性.
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