离散时间分数顺序延迟记忆神经网络的准投影同步与不确定性
IEEE transactions on cybernetics
|September 24, 2025
概括
本研究探讨了在不确定的离散时间分数顺序延迟记忆神经网络 (DFDMNNs) 中的准投影同步 (Q-PS). 新的标准确保解决方案存在,并通过反控制实现Q-PS.
科学领域:
- 计算神经科学是一种神经科学.
- 混沌理论 混沌理论
- 非线性动力学是一种非线性动力学.
背景情况:
- 记忆神经网络 (MNN) 呈现出复杂的动态.
- 分数式微积分提供了更现实的系统建模.
- 在现实世界的网络中,离散时间系统和时间延迟至关重要.
研究的目的:
- 在离散时间分数顺序的延迟记忆神经网络 (DFDMNNs) 中调查准投影同步 (Q-PS) 与不确定性.
- 为了在这些复杂的网络中建立足够的条件来实现解决方案的存在.
- 开发使用延迟状态反控制实现Q-PS的标准.
主要方法:
- 使用不等式技术和离散时间分数计算的属性.
- 应用固定点定理来保证解决方案的存在.
- 设计一个延迟状态反控制器来实现Q-PS.
主要成果:
- 为存在不确定性DFDMNNs的解决方案,推导出了几个足够的标准.
- 建立了在DFDMNN中实现Q-PS的相应标准.
- 通过数值示例证明了理论结果的有效性.
结论:
- 提出的方法有效地保证了对不确定的DFDMNNs的解决方案的存在.
- 开发的标准确保了这些系统中成功的准投影同步.
- 数字模拟验证了理论发现和控制器的性能.
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