期刊：
2017 IEEE 2nd Advanced Information Technology, Electronic and Automation Control Conference (IAEAC),2017年:2191-2194
通讯作者：
Xu, Youjun
作者机构：
[Xu, Youjun; Liu, Yanqi; Tang, Zhigang] Nanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Xu, Youjun] N;Nanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
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)
会议时间：
2017-03-25
会议地点：
重庆
会议主办单位：
[Liu, Yanqi;Tang, Zhigang;Xu, Youjun] Nanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
会议论文集名称：
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)论文集
关键词：
High voltage transmission line;mean filter;histogram equalization;Canny edge detection;Hough detection
摘要：
The research of high voltage transmission line ice block has great challenge, which is different from regions and climate disturbance. In this paper, a new method is proposed to detect the thickness of ice in a specific area (Xingyi Guizhou). For obtaining the thickness of High pressure wire and ice, the mean filter and histogram equalization are used to image preprocessing in order to reduce noise interference, and then the Canny edge operator is used to deal with binarization, and the Hough line is detected. The average thickness of the ice block is obtained according to the diameter thickness of the known high voltage wire.
期刊：
Fractional Calculus and Applied Analysis,2016年19(1):94-115 ISSN：1311-0454
通讯作者：
Liu, Xiaoyou;Xu, Youjun
作者机构：
[Liu, XY; Xu, YJ; Liu, Xiaoyou; Xu, Youjun] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Liu, XY; Xu, YJ] U;Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
关键词：
fractional differential equation;optimal control;Bogolyubov type theorem;relaxation property;nonconvex constraint
摘要：
We first study the existence results and properties of the solution set of a control system described by fractional differential equations with nonconvex control constraint. Then a problem of minimizing an integral functional over the solution set of the control system is considered. Along with the original minimizing problem, we also consider the problem of minimizing the integral functional whose integrand is the bipolar (with respect to the control variable) of the original integrand over the solution set of the same system but with the convexified control constraint. We prove that the relaxed problem has an optimal solution and obtain some relationships between these two minimizing problems. Finally, an example is given to illustrate the results.
摘要：
This paper is concerned with the existence of solutions for nonlinear impulsive fractional differential equations with families of mixed and closed boundary conditions. In both cases, the fractional derivative of lower order is involved in the formulation of impulsive conditions. By means of the Banach fixed point theorem, Schaefer fixed point theorem and Nonlinear alternative of Leray-Sthauder type, some existence results are obtained. Examples are given to illustrate the results.
期刊：
Abstract and Applied Analysis,2014年2014:1-9 ISSN：1085-3375
通讯作者：
Xu, Youjun
作者机构：
[Xu, Youjun; Zhou, Shu] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.;[Xu, Youjun] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China.
通讯机构：
[Xu, Youjun] U;Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
关键词：
We establish the necessary condition of optimality for optimal control problem governed by some pseudoparabolic differential equations involving monotone graphs. Some approximating control process and examples are given. Published: 2014 First available in Project Euclid: 26 March 2014 zbMATH: 07022807 MathSciNet: MR3166639 Digital Object Identifier: 10.1155/2014/641736
摘要：
We establish the necessary condition of optimality for optimal control problem governed by some pseudoparabolic differential equations involving monotone graphs. Some approximating control process and examples are given.
摘要：
An optimal control problem for pseudoparabolic equations with pointwise obstacle type constraints is considered. There is a void interior even in the state constraint set, that is, without satisfying the Slater condition. A generalized solution of pseudoparabolic equations and necessary optimality conditions are established.
