From Euclid Division of Constant Integers to Zhang Division of Time-Varying Variables

摘要：

　　Static Euclid division has been studied for many decades.In this paper,we focus on time-varying division(or termed,Zhang division).As Zhang dynamics(ZD)and gradient dynamics(GD)have shown powerful abilities to solve a great variety of time-varying problems,we present a ZD model and a GD model for time-varying division by defining a Zhang function and an energy function,respectively.Through illustrative examples,the efficacy of the presented ZD and GD models for online solution of time-varying division is substantiated effectively.In addition,division-by-zero(DBZ)problem is solved readily in this paper,which is well understood.

关键词： Euclid division time-varying division Zhang dynamics (ZD) model gradient dynamics (GD) model division-by-zero (DBZ)

作者: Yunong Zhang Min Yang Maotai Zou Sheng Wu Binbin Qiu

作者单位: School of Information Science and Technology,Sun Yat-sen University(SYSU),Guangzhou,510006,China;Key Laboratory of Autonomous Systems and Networked Control,Ministry of Education,Guangzhou,510640,China;SYSU-CMU Shunde International Joint Research Institute,Foshan,528300,China

会议类型: 国际会议

会议名称: 2017 IEEE 2nd Advanced Information Technology,Electronic and Automation Control Conference(IAEAC 2017)(2017 IEEE 第2届先进信息技术、电子与自动化控制国际会议)

会议地点: 重庆

会议语种:英文

页码: 177-181

在线出版日期: 2017-03-25（万方平台首次上网日期，不代表论文的发表时间）