Finite-time stability analysis of fractional-order neural networks with delay

被引：143

作者：

Yang, Xujun ^{[1
]}

Song, Qiankun ^{[1
]}

Liu, Yurong ^{[2
,3
]}

Zhao, Zhenjiang ^{[4
]}

机构：

[1] Chongqing Jiaotong Univ, Sch Management, Chongqing 400074, Peoples R China

[2] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China

[3] King Abdulaziz Univ, Fac Engn, Commun Syst & Networks CSN Res Grp, Jeddah 21589, Saudi Arabia

[4] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China

来源：

NEUROCOMPUTING | 2015年 / 152卷

基金：

中国国家自然科学基金;

关键词：

Fractional order neural networks; Equilibrium point; Existence; Uniqueness; Finite-time stability; GLOBAL EXPONENTIAL STABILITY; NONLINEAR-SYSTEMS; STABILIZATION; DYNAMICS;

D O I：

10.1016/j.neucom.2014.11.023

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Stability analysis of fractional-order neural networks with delay is addressed in this paper. By using the contracting mapping principle, method of iteration and inequality techniques, a sufficient condition is established to ensure the existence, uniqueness and finite-time stability of the equilibrium point of the proposed networks. Finally, based on the Predictor-Corrector Approach, two numerical examples are presented to illustrate the validity and feasibility of the obtained result. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：19 / 26

页数：8

共 47 条

[1]

Alofi A., 2014, DISCRETE DYNAMICS NA, V2014

[2] Necessary and sufficient conditions for finite-time stability of impulsive dynamical linear systems [J].

Amato, F. ;

De Tommasi, G. ;

Pironti, A. .

AUTOMATICA, 2013, 49 (08) :2546-2550

[3]

[Anonymous], 1990, Funkcialaj Ekvacioj

[4] Continuous finite-time stabilization of the translational and rotational double integrators [J].

Bhat, SP ;

Bernstein, DS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (05) :678-682

[5]

Boroomand A, 2009, LECT NOTES COMPUT SC, V5506, P883, DOI 10.1007/978-3-642-02490-0_108

[6] Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks [J].

Chen, Jiejie ;

Zeng, Zhigang ;

Jiang, Ping .

NEURAL NETWORKS, 2014, 51 :1-8

[7] Dynamic analysis of a class of fractional-order neural networks with delay [J].

Chen, Liping ;

Chai, Yi ;

Wu, Ranchao ;

Ma, Tiedong ;

Zhai, Houzhen .

NEUROCOMPUTING, 2013, 111 :190-194

[8] Stability analysis for closed-loop management of a reservoir based on identification of reduced-order nonlinear model [J].

Chen, Yingying ;

Hoo, Karlene A. .

SYSTEMS SCIENCE & CONTROL ENGINEERING, 2013, 1 (01) :12-19

[9]

Corduneanu Constantine., 1971, Principles of Differential and Integral Equations

[10] A predictor-corrector approach for the numerical solution of fractional differential equations [J].

Diethelm, K ;

Ford, NJ ;

Freed, AD .

NONLINEAR DYNAMICS, 2002, 29 (1-4) :3-22

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