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基于Hopfield神经网络的非线性系统故障估计方法
  • 期刊名称：南京航空航天大学学报
  • 时间：2011.7.7
  • 页码：18-21
  • 分类：TP18[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程] P618.130.2[天文地球—矿床学;天文地球—地质学]
  • 作者机构：[1]College of Information Science and Engineering, Northeastern University, Shenyang 110819, China
  • 相关基金：Project supported by the National Natural Science Foundation of China （Grant Nos. 50977008, 61034005, and 61074073）, the National Basic Research Program of China （Grant No. 2009CB320601）, the Program for New Century Excellent Talents in Universities of China （Grant No. NCET-10-0306）, and the Fundamental Research Funds for the Central Universities of China （Grant Nos. N110604005 and N110504001）.
  • 相关项目：基于神经动力系统的新型故障诊断与容错控制方法研究
作者： 王占山|张恩林|张化光|冯健|
关键词： 吸引力, 稳定性, 神经元网络, 盆地, 延迟, 稳定平衡点, 递归神经网络, 多重, delayed recurrent neural network, multiple equilibria, stability, attractive basin
中文摘要：

Multiple stability for two-dimensional delayed recurrent neural networks with piecewise linear activation functions of 2r(r≥1) corner points is studied. Sufficient conditions are established for checking the existence of (2r+1)2 equilibria in delayed recurrent neural networks. Under these conditions, (r+1)2 equilibria are locally exponentially stable, and (2r+1)2-(r+1)2-r2 equilibria are unstable. Attractive basins of stable equilibria are estimated, which are larger than invariant sets derived by decomposing state space. One example is provided to illustrate the effectiveness of our results.

英文摘要：

Multiple stability for two-dimensional delayed recurrent neural networks with piecewise linear activation flmctions of 2r （r 〉 1） corner points is studied. Sufficient conditions are established for checking the existence of （2r ＋ 1）2 equilibria in delayed recurrent neural networks. Under these conditions, （r ＋ 1）2 equilibria are locally exponentially stable, and （2r＋ 1）2 -（r ＋ 1）2 -r2 equilibria are unstable. Attractive basins of stable equilibria are estimated, which are larger than invariant sets derived by decomposing state space. One example is provided to illustrate the effectiveness of our results.

同期刊论文项目
基于数据驱动的复杂控制过程故障诊断和监控理论与关键技术研究
期刊论文 279 会议论文 8 获奖 34 专利 16 著作 7
基于神经动力系统的新型故障诊断与容错控制方法研究
期刊论文 45 会议论文 12 专利 1 著作 2
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