Asymptotic stability of nonlinear fractional neutral singular systems

被引：4
作者：
Lu, Yanfen [1 ]
Wu, Ranchao [1 ]
Qin, Zhiquan [1 ]
机构：
[1] Anhui Univ, Sch Math, Hefei 230039, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2014年 / 45卷 / 1-2期
基金：
高等学校博士学科点专项科研基金;
关键词：
Fractional neutral singular system; Stability; Lyapunov direct method; Laplace transform;
D O I：
10.1007/s12190-013-0726-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, fractional calculus has been introduced into neutral singular systems. The (asymptotical) stability and (generalized) Mittag-Leffler stability of nonlinear fractional neutral singular systems with Caputo and Riemann-Liouville derivatives are studied, respectively. Several sufficient conditions guaranteeing stability of such systems are established by using the Lyapunov direct method.
引用
收藏
页码：351 / 364
页数：14
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