Impulsive Effects and Stability Analysis on Memristive Neural Networks With Variable Delays

被引：51

作者：

Duan, Shukai ^{[1
]}

Wang, Huamin ^{[1
,2
]}

Wang, Lidan ^{[1
]}

Huang, Tingwen ^{[3
]}

Li, Chuandong ^{[1
]}

机构：

[1] Southwest Univ, Coll Elect & Informat Engn, Chongqing 400715, Peoples R China

[2] Luoyang Normal Univ, Dept Math, Luoyang 471022, Peoples R China

[3] Texas A&M Univ Qatar, Dept Elect & Comp Engn, Doha 23874, Qatar

来源：

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS | 2017年 / 28卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Exponential stability; impulsive effects; memristive neural networks (MNNs); optimization; EXPONENTIAL STABILITY; SYNCHRONIZATION; DISCRETE;

D O I：

10.1109/TNNLS.2015.2497319

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this brief, hybrid impulsive and adaptive feedback controllers are simultaneously exerted on a general delayed memristive neural network (MNN) model to formulate a novel impulsive controlled MNN (IMNN) model with variable delays. By means of Lyapunov-Razumikhin technique and other analytical ways, several new stability criteria of the proposed IMNN model are obtained. In addition, by choosing appropriate impulses and external inputs, the convergence speed of IMNN can be increased, which implies that its dynamic behaviors will be optimized. Finally, the effectiveness of the obtained results is illustrated by one numerical example. Index Terms-Exponential stability, impulsive effects, memristive neural networks (MNNs), optimization.

引用

页码：476 / 481

页数：6

共 29 条

[1]

[Anonymous], 1988, Differential Equations with Discontinuous Righthand Sides

[2] Global Exponential Stability of Impulsive Neural Networks With Variable Delay: An LMI Approach [J].

Chen, Wu-Hua ;

Zheng, Wei Xing .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2009, 56 (06) :1248-1259

[3]

Chua L. O., 2002, Cellular neural networks and visual computing: foundations and applications

[4] MEMRISTOR - MISSING CIRCUIT ELEMENT [J].

CHUA, LO .

IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+

[5] Memristor-Based Cellular Nonlinear/Neural Network: Design, Analysis, and Applications [J].

Duan, Shukai ;

Hu, Xiaofang ;

Dong, Zhekang ;

Wang, Lidan ;

Mazumder, Pinaki .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2015, 26 (06) :1202-1213

[6] Complex synchronous behavior in interneuronal networks with delayed inhibitory and fast electrical synapses [J].

Guo, Daqing ;

Wang, Qingyun ;

Perc, Matjaz .

PHYSICAL REVIEW E, 2012, 85 (06)

[7]

[胡钧铭 Hu Junming], 2010, [作物杂志, Crops], P1

[8] MEMRISTOR CELLULAR AUTOMATA AND MEMRISTOR DISCRETE-TIME CELLULAR NEURAL NETWORKS [J].

Itoh, Makoto ;

Chua, Leon O. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2009, 19 (11) :3605-3656

[9] Exponential stability of impulsive stochastic functional differential equations [J].

Pan, Lijun ;

Cao, Jinde .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 382 (02) :672-685

[10] New robust stability results for bidirectional associative memory neural networks with multiple time delays [J].

Senan, Sibel ;

Arik, Sabri ;

Liu, Derong .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (23) :11472-11482

← 1 2 3 →