Exponential Synchronization of Memristive Neural Networks With Delays: Interval Matrix Method

被引：226

作者：

Yang, Xinsong ^{[1
]}

Cao, Jinde ^{[2
]}

Liang, Jinling ^{[2
]}

机构：

[1] Chongqing Normal Univ, Dept Math, Chongqing 401331, Peoples R China

[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

来源：

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS | 2017年 / 28卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Exponential synchronization; interval matrix; memristor; neural networks; robust control; time delay; ROBUST SYNCHRONIZATION; DYNAMICAL NETWORKS; STOCHASTIC SYNCHRONIZATION; COMPLEX NETWORKS; MIXED DELAYS; SYSTEMS; STABILITY;

D O I：

10.1109/TNNLS.2016.2561298

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper considers the global exponential synchronization of drive-response memristive neural networks (MNNs) with heterogeneous time-varying delays. Because the parameters of MNNs are state-dependent, the MNNs may exhibit unexpected parameter mismatch when different initial conditions are chosen. Therefore, traditional robust control scheme cannot guarantee the synchronization of MNNs. Under the framework of Filippov solution, the drive and response MNNs are first transformed into systems with interval parameters. Then suitable controllers are designed to overcome the problem of mismatched parameters and synchronize the coupled MNNs. Based on some novel Lyapunov functionals and interval matrix inequalities, several sufficient conditions are derived to guarantee the exponential synchronization. Moreover, adaptive control is also investigated for the exponential synchronization. Numerical simulations are provided to illustrate the effectiveness of the theoretical analysis.

引用

页码：1878 / 1888

页数：11

共 40 条

[1] Global robust stability of delayed neural networks [J].

Arik, S .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) :156-160

[2]

Aubin JP., 1984, Differential Inclusions: Set Valued Maps and Viability Theory

[3] A Memristor SPICE Implementation and a New Approach for Magnetic Flux-Controlled Memristor Modeling [J].

Batas, Daniel ;

Fiedler, Horst .

IEEE TRANSACTIONS ON NANOTECHNOLOGY, 2011, 10 (02) :250-255

[4]

Boyd S., 1994, SIAM STUDIES APPL MA

[5] Robust synchronization of a class of chaotic networks [J].

Celikovsky, S. ;

Lynnyk, V. ;

Chen, G. .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (10) :2936-2948

[6] MEMRISTIVE DEVICES AND SYSTEMS [J].

CHUA, LO ;

KANG, SM .

PROCEEDINGS OF THE IEEE, 1976, 64 (02) :209-223

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

CHUA, LO .

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

[8] A new upper bound for the norm of interval matrices with application to robust stability analysis of delayed neural networks [J].

Faydasicok, Ozlem ;

Arik, Sabri .

NEURAL NETWORKS, 2013, 44 :64-71

[9]

Filippov A., 1960, Sb. Math, V93, P99

[10] Synchronization of Complex Dynamical Networks With Time-Varying Delays Via Impulsive Distributed Control [J].

Guan, Zhi-Hong ;

Liu, Zhi-Wei ;

Feng, Gang ;

Wang, Yan-Wu .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2010, 57 (08) :2182-2195

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