STABILITY ANALYSIS FOR NEUTRAL-TYPE IMPULSIVE NEURAL NETWORKS WITH DELAYS

被引：3

作者：

Du, Bo ^{[1
]}

Liu, Yurong ^{[2
]}

Cao, Dan ^{[1
]}

机构：

[1] Huaiyin Normal Univ, Dept Math, Huaian 223300, Jiangsu, Peoples R China

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

来源：

KYBERNETIKA | 2017年 / 53卷 / 03期

关键词：

neutral-type; neural networks; Lyapunov functional method; stability; GLOBAL ASYMPTOTIC STABILITY; TIME-VARYING DELAYS; FUNCTIONAL-DIFFERENTIAL EQUATIONS; DISTRIBUTED DELAYS; EXPONENTIAL STABILITY; VARIABLE TIMES; OPTIMIZATION; DISCRETE; SYSTEMS; EXISTENCE;

D O I：

10.14736/kyb-2017-3-0513

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

By using linear matrix inequality (LMI) approach and Lyapunov functional method, we obtain some new sufficient conditions ensuring global asymptotic stability and global exponential stability of a generalized neutral-type impulsive neural networks with delays. A simulation example is provided to demonstrate the usefulness of the main results obtained. The main contribution in this paper is that a new neutral-type impulsive neural networks with variable delays is studied by constructing a novel Lyapunov functional and LMI approach.

引用

页码：513 / 529

页数：17

共 48 条

[1]

[Anonymous], 1979, NONNEGATIVE MATRICES

[2] NEURAL NETWORK FOR QUADRATIC OPTIMIZATION WITH BOUND CONSTRAINTS [J].

BOUZERDOUM, A ;

PATTISON, TR .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 1993, 4 (02) :293-304

[3] Globally asymptotic stability of a class of neutral-type neural networks with delays [J].

Cheng, Chao-Jung ;

Liao, Teh-Lu ;

Yan, Jun-Juh ;

Hwang, Chi-Chuan .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2006, 36 (05) :1191-1195

[4] A neutral-type delayed projection neural network for solving nonlinear variational inequalities [J].

Cheng, Long ;

Hou, Zeng-Guang ;

Tan, Min .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2008, 55 (08) :806-810

[5] CELLULAR NEURAL NETWORKS - APPLICATIONS [J].

CHUA, LO ;

YANG, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1273-1290

[6] ON STABILITY OF CELLULAR NEURAL NETWORKS WITH DELAY [J].

CIVALLERI, PP ;

GILLI, M ;

PANDOLFI, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1993, 40 (03) :157-165

[7] On equilibria, stability, and instability of hopfield neural networks [J].

Guan, ZH ;

Chen, GR ;

Qin, Y .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2000, 11 (02) :534-540

[8] Periodic oscillation for a Hopfield neural networks with neutral delays [J].

Gui, Zhanji ;

Ge, Weigao ;

Yang, Xiao-Song .

PHYSICS LETTERS A, 2007, 364 (3-4) :267-273

[9]

Hale J., 1977, THEORY FUNCTIONAL DI, DOI [10.1007/978-1-4612-9892-2, DOI 10.1007/978-1-4612-9892-2]

[10] Pinning-controlled synchronization of delayed neural networks with distributed-delay coupling via impulsive control [J].

He, Wangli ;

Qian, Feng ;

Cao, Jinde .

NEURAL NETWORKS, 2017, 85 :1-9

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