反应-扩散延迟惯性记忆神经网络的同步通过自适应固定控制
1School of Mathematics and Computer Science, Wuhan Polytechnic University, Wuhan, 430023, China.
概括
这项研究引入了一个适应性固定控制延迟惯性记忆神经网络 (DIMNNs) 与反应-扩散条款. 该方法确保了高效的同步,需要更少的节点,并适应网络变化.
科学领域:
- 神经科学是一个神经科学.
- 控制理论 控制理论
- 应用数学 应用数学 应用数学
背景情况:
- 记忆神经网络对于先进的计算至关重要.
- 复杂网络中的同步是一个具有挑战性的问题.
- 延迟系统和反应-扩散术语增加了显著的复杂性.
研究的目的:
- 用反应-扩散术语来解决延迟惰性记忆神经网络 (DIMNNs) 的同步控制.
- 为DIMNNs开发一个适应性固定控制策略.
- 为了确保强大的和高效的同步与最小的控制努力.
主要方法:
- 使用差异性包含和减少顺序方法进行DIMNN分析.
- 对驱动和响应系统实施适应性固定控制方法.
- 应用不平等技术和格林公式来得出同步标准.
主要成果:
- 建立了一个标准,保证DIMNNs与反应-扩散项的同步.
- 拟议的控制方案需要控制节点的数量比完全状态反要少.
- 该方法证明了对参数不确定性的稳定性和适应网络条件的适应性.
结论:
- 适应性固定控制有效地实现了复杂DIMNN中的同步.
- 这种方法在控制节点的减少和适应性方面具有优势.
- 数字模拟验证了理论发现和控制策略的实际有效性.
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