外部同步和外部H∞同步用于配对的分数级反应扩散神经网络,具有多重量
Jin-Liang Wang1, Si-Yang Wang1, Yan-Ran Zhu1
1Tianjin Key Laboratory of Autonomous Intelligence Technology and Systems, School of Computer Science and Technology, Tiangong University, Tianjin 300387, China.
概括
本研究探讨了结合的分数级反应扩散神经网络 (CFRNNs) 的外部同步和外部H∞同步. 新的同步条件是通过数值示例来导出和验证的.
科学领域:
- 控制理论 控制理论
- 计算神经科学是一种神经科学.
- 分数微积分的计算.
背景情况:
- 偶联的分数级反应-扩散神经网络 (CFRNNs) 是复杂的系统,在各种领域都有应用.
- 了解这些网络中的同步现象对于它们的有效利用至关重要.
- 现有的模型可能无法完全捕捉空间扩散合系统的动态.
研究的目的:
- 引入和分析多个状态或空间扩散合的分数级反应扩散神经网络 (CFRNNs).
- 调查这些CFRNN的外部同步和外部H∞同步问题.
- 开发新的条件来实现外部和外部H∞同步.
主要方法:
- 利亚普诺夫的功能方法.
- 拉普拉斯变换是一个拉普拉斯变换.
- 不平等技术 不平等技术
- 对结合的分数顺序系统的分析.
主要成果:
- 在CFRNN中实现外部同步的条件.
- 制定了为CFRNNs确保外部H∞同步的标准.
- 通过两个数值示例证明了衍生条件的有效性.
结论:
- 提出的方法有效地解决了空间扩散合的CFRNNs中的外部和外部H∞同步.
- 这些发现有助于理论理解和分数顺序神经网络的实际应用.
- 数字模拟证实了衍生同步条件的稳定性和准确性.
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