分数阶非线性中立型时变系统的可控性  

Controllability of Fractional Order Nonlinear Neutral Time-varying Systems

作　　者：张家硕 蒋威[1] 

机构地区：[1]安徽大学数学科学学院,合肥230601

出　　处：《重庆工商大学学报（自然科学版）》2017年第5期1-6,共6页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：国家自然科学基金(11371027;11601003);国家教育部博士点基金(20093401110001);安徽省教育委员会基金(KJ2010ZD02)

摘　　要：基于拉普拉斯变换,拉普拉斯逆变换以及卷积定理等,得出了多时滞分数阶非线性中立型时变系统的解的表达形式;根据系统解的表达形式,得到格兰姆矩阵,并给出了多时滞分数阶非线性中立型时变系统的可控性的判定依据,即对于任意给定状态x_0,xtf都有一个控制函数u(t),使得系统的解满足x(tf)=xtf.Based on Laplace transform,Laplace inverse transform and convolution theorem and so on,the expression of the solutions to fractional order nonlinear neutral systems with multiple time-varying is derived.According to the expression of the solutions to the system,the Gramain matrix is obtained,and then the basis of judgment for the controllability of fractional order nonlinear neutral systems with multiple time-varying is given. i.e.,for any given state of x_0,xtf,there is a controllability function u（ t）,which makes the solution of the system satisfy x（ tf） = xtf.

关 键 词：可控性 分数阶 非线性 中立型 

分 类 号：O177.3[理学—数学]