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引用本文:	张家硕, 蒋威.分数阶非线性中立型时变系统的可控性(J/M/D/N,J:杂志，M：书，D：论文，N：报纸).期刊名称,2017，34（5）：1-6
	CHEN X. Adap tive slidingmode contr ol for discrete2ti me multi2inputmulti2 out put systems[ J ]. Aut omatica, 2006, 42(6): 4272-435

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分数阶非线性中立型时变系统的可控性
张家硕, 蒋威¹
安徽大学数学科学学院，合肥 230601

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,xtf都有一个控制函数u(t)，使得系统的解满足x(tf)=xtf.

关键词: 可控性分数阶非线性中立型

DOI：

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Controllability of Fractional Order Nonlinear Neutral Time varying Systems

ZHANG Jia shuo, JIANG Wei

Abstract:

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,xtf, there is a controllability function u(t), which makes the solution of the system satisfy x(tf)=xtf.

Key words: controllability fractional order nonlinear neutral