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

页码：351 / 364

页数：14

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