一类非线性分数阶中立型系统的全局可控性(英文)  

Global Controllability of a Class of Nonlinear Fractional Neutral Systems

作　　者：庞登浩 于萍[2] 蒋威[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039 [2]安徽新华学院公课部,安徽合肥230088

出　　处：《应用数学》2016年第1期136-142,共7页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11371027,11471015);the Program of Natural Science of Colleges of Anhui Province(KJ2013A032);the Youth Superior Talent Key Foundation of Anhui Province(2013SQRL142ZD)

摘　　要：本文研究一类非线性分数阶中立型系统的可控性问题.首先,讨论解的存在唯一性;然后基于Krasnoselskii’s不动点理论,得到系统全局可控的充分条件.In this paper, the problem of controllability for a class of nonlinear fractional neutral systems is considered. First, we discuss the existence and uniqueness of the solution. Furthermore, sufficient conditions based on Krasnoselskii＇s fixed point theorem are derived for the global controllability of the system.

关 键 词：全局可控性 分数阶微积分 非线性中立型系统 Krasnoselskii’s不动点理论 

分 类 号：O175[理学—数学] O23[理学—基础数学]