具有R-L分数顺序的延迟系统的稳定性,并适用于延迟脉冲网络中的同步
Xiaofei Xing1, Lifei Wang1, Huaiqin Wu1
1School of Science, Yanshan University, Qinhuangdao 066001, China.
概括
这项研究在分数级复杂网络 (FOCN) 中实现了 θ 指数同步,使用混合合和延迟脉冲. 新型控制器和稳定性标准确保了可靠的同步,并得到了Chua的验证.
科学领域:
- 控制理论 控制理论
- 复杂的网络 复杂的网络
- 分数微积分的计算.
背景情况:
- 分数级复杂网络 (FOCN) 呈现出复杂的动态.
- 在FOCN中的同步对于各种应用至关重要.
- 延迟冲动效应和混合合带来了重大挑战.
研究的目的:
- 调查FOCN与里曼-利乌维尔 (R-L) 分数顺序的 θ 指数同步.
- 为具有 R-L 分数顺序和延迟冲动效应的延迟系统开发一个新的 θ 指数稳定性标准.
- 设计新的反和自适应反控制器,以实现同步目标.
主要方法:
- 为延迟系统开发一种新的θ指数稳定性标准.
- 在延迟冲动效应下,以混合合和短内存对冲性FOCN进行建模.
- 利亚普诺夫的函数方法,分数微积分和矩阵不等式分析.
- 以线性矩阵不等式 (LMI) 的形式导出同步条件.
主要成果:
- 为具有R-L分数顺序和延迟冲动效应的延迟系统建立了一个新的θ指数稳定性标准.
- 对FOCN的θ指数同步条件是根据LMI推导的.
- 拟议的控制策略的有效性通过在的电路网络上的数值模拟来证明.
结论:
- 拟议的控制方法有效地实现了在延迟冲动效应下在FOCN中实现 θ 指数级同步.
- 衍生出来的同步条件为设计这些复杂系统的控制器提供了理论基础.
- 该研究为分析FOCN同步提供了更普遍和实用的框架.
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