Zhang Dynamics with Modi?ed Error-Functions for Online Solution of Nonlinear Equations so as to Avoid Local Minima

摘要：

Our previous work shows the ef.cacy and better performance of the Zhang dynamics (ZD) model for solving online nonlinear equations, as compared with the conventional gradient dynamics (GD) model. It is also discovered that, if a nonlinear equation possesses a local minimum point, the ZD state, starting from some initial value close to it, may move towards the local minimum point and then stop with warning information. In comparison, the GD state falls into the local minimum point (with no warning). Inspired by WuS work, we improve the ZD model by de.ning two modi.ed error-functions and generating new neural-dynamic forms to overcome such a local-minimum problem. Computer-simulation results further demonstrate the novelty and ef.cacy of the proposed ZD models (activated by power-sigmoid functions) with two new modi.ed error-functions on the online solution of nonlinear equations involving local minima.

关键词： Zhang dynamics Gradient dynamics Modifiued error-function Nonlinear equation solving

作者: Yunong Zhang Zhende Ke Kene Li Zhan Li

作者单位: School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510006,China

会议类型: 国际会议

会议名称: 2011 China Control and Decision Conference(2011中国控制与决策会议 CCDC)

会议地点: 四川绵阳

会议语种:英文

页码: 3872-3877

在线出版日期: 2011-05-23（万方平台首次上网日期，不代表论文的发表时间）