离散时间的米塔格-莱弗勒状态估计分数顺序的四次数记忆神经网络
1School of Mathematics and Statistics, Nantong University, Nantong, 226019, China. huangqun@ntu.edu.cn.
Scientific reports
|October 31, 2025
概括
这项研究引入了一种新的方法,用于分数顺序的记忆系统的状态估计. 它通过使用离散分数计算和矢量优化来确保估计错误的全球米塔格-勒弗勒稳定性.
科学领域:
- 控制理论 控制理论
- 非线性动力学是一种非线性动力学.
- 混沌理论 混沌理论
背景情况:
- 分数顺序系统比整数顺序系统提供更准确的建模能力.
- 记忆系统表现出独特的记忆特性,对先进的计算至关重要.
- 状态估计对于理解和控制复杂的动态系统至关重要.
研究的目的:
- 开发一个新的标准,用于分数顺序的记忆系统的全球米塔格-莱弗勒稳定性与离散的时间条款.
- 调查这些复杂系统的状态估计技术.
- 通过矢量优化和基于四子的方法,增强对稳定性分析的理解.
主要方法:
- 离散分数计算被用来建模系统动态.
- 提出了一个新的稳定性标准,该标准基于一种类似于Lyapunov的函数,包含离散的分数和.
- 矢量优化方法被用来分析使用四次数的凸闭性质.
主要成果:
- 为确保估计误差系统的全球米塔格-勒弗勒稳定性,我们得出了一个新的和有效的标准.
- 已确定分数级记忆系统的稳定性条件.
- 数字模拟证实了拟议的状态估计方法的有效性.
结论:
- 拟议的方法为分数顺序记忆系统中的状态估计提供了一个强大的方法.
- 离散微积分和矢量优化的集成为稳定性分析提供了新的见解.
- 通过数值模拟验证了这些发现,证明了其实际适用性.
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