结合交换神经网络的同步受混合随机干扰的影响
Han Long1, Jingxuan Ci2, Zhenyuan Guo2
1College of Science, National University of Defense Technology, Changsha 410073, China.
概括
这项研究提出了一个指数级同步的控制定律,用于与随机干扰和冲动相结合的交换神经网络. 研究提供了足够的条件来实现同步,提高网络稳定性和性能.
科学领域:
- 控制理论 控制理论
- 神经网络的神经网络的神经网络
- 系统工程 系统工程
背景情况:
- 结合交换神经网络容易受到随机干扰和冲动的影响,使其同步变得复杂.
- 实现可靠的同步对于复杂的网络系统的有效运行至关重要.
研究的目的:
- 开发一个理论框架来分析和实现合交换神经网络中的指数级同步.
- 设计一个控制规律,确保尽管随机干扰和冲动,同步.
主要方法:
- 利亚普诺夫函数方法,比较原理和冲动延迟差异不等式,用于分析与非同步冲动的同步.
- 分割冲动间隔和凸合组合技术,导致基于一般随机冲动的线性矩阵不等式 (LMI) 的条件.
主要成果:
- 我们得出了两组足够的条件,用于合交换神经网络的指数同步.
- 拟议的控制法有效地解决了非同步和一般随机冲动.
结论:
- 通过数值示例和实际应用来验证理论结果,证明其有效性.
- 这项研究为确保复杂神经网络系统中强大的同步提供了新的方法.
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