Mittag-Leffler stability of nonlinear fractional neutral singular systems

被引：39

作者：

Liu, Song ^{[1
]}

Li, Xiaoyan ^{[1
]}

Jiang, Wei ^{[1
]}

Zhou, Xianfeng ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230039, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 10期

基金：

美国国家科学基金会;

关键词：

Nonlinear fractional neutral singular system; Mittag-Leffler stability; Lyapunov direct method; Laplace transform; NUMERICAL ALGORITHM; DESCRIPTOR SYSTEMS; DELAY;

D O I：

10.1016/j.cnsns.2012.02.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies Mittag-Leffler stability of nonlinear fractional neutral singular systems under Caputor and Riemann-Liouville derivatives. Several sufficient conditions are derived by extending Lyapunov direct method to such systems. Our theoretical results can also be applied to general fractional retarded, neutral and singular systems. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：3961 / 3966

页数：6

共 32 条

[1]

[Anonymous], 2006, THEORY APPL FRACTION

[2]

[Anonymous], 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475

[3]

[Anonymous], 1993, INTRO FRACTIONAL CA

[4]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[5] Razumikhin Stability Theorem for Fractional Systems with Delay [J].

Baleanu, D. ;

Sadati, S. J. ;

Ghaderi, R. ;

Ranjbar, A. ;

Abdeljawad , T. ;

Jarad, Fahd .

ABSTRACT AND APPLIED ANALYSIS, 2010, :1-9

[6]

CAMPBELL S.L., 1980, APPL ANAL, V11, P129, DOI [10.1080/00036818008839326, DOI 10.1080/00036818008839326]

[7] Robust stability check of fractional order linear time invariant systems with interval uncertainties [J].

Chen, YangQuan ;

Ahn, Hyo-Sung ;

Podlubny, Igor .

SIGNAL PROCESSING, 2006, 86 (10) :2611-2618

[8] Analytical stability bound for a class of delayed fractional-order dynamic systems [J].

Chen, YQ ;

Moore, KL .

NONLINEAR DYNAMICS, 2002, 29 (1-4) :191-200

[9]

Deng WH, 2007, NONLINEAR DYNAM, V48, P409, DOI [10.1007/s11071-006-9094-0, 10.1007/s11071 -006-9094-0]

[10] Application of generalized differential transform method to multi-order fractional differential equations [J].

Erturk, Vedat Suat ;

Momani, Shaher ;

Odibat, Zaid .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (08) :1642-1654

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