Dissipativity analysis of neutral-type memristive neural network with two additive time-varying and leakage delays

被引：5

作者：

Yang, Cuiping ^{[1
]}

Xiong, Zuoliang ^{[1
]}

Yang, Tianqing ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang, Jiangxi, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期

基金：

中国国家自然科学基金;

关键词：

Neutral-type memristive neural networks; Lyapunov-Krasovskii functional; Dissipativity; Mixed delays; STABILITY; SYSTEMS; SYNCHRONIZATION; DISCRETE;

D O I：

10.1186/s13662-018-1941-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we offer an approach about the dissipativity of neutral-type memristive neural networks (MNNs) with leakage, additive time, and distributed delays. By applying a suitable Lyapunov-Krasovskii functional (LKF), some integral inequality techniques, linear matrix inequalities (LMIs) and free-weighting matrix method, some new sufficient conditions are derived to ensure the dissipativity of the aforementioned MNNs. Furthermore, the global exponential attractive and positive invariant sets are also presented. Finally, a numerical simulation is given to illustrate the effectiveness of our results.

引用

页数：22

共 42 条

[1]

[Anonymous], 2007, Theory and Applications

[2]

Arscott F., 1988, Differential Equations with Discontinuous Righthand Sides: Control Systems. Mathematics and its Applications

[3]

Aubin J.-P., 1984, Differential inclusions: set-valued maps and viability theory

[4] Neural Learning Circuits Utilizing Nano-Crystalline Silicon Transistors and Memristors [J].

Cantley, Kurtis D. ;

Subramaniam, Anand ;

Stiegler, Harvey J. ;

Chapman, Richard A. ;

Vogel, Eric M. .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2012, 23 (04) :565-573

[5] Quantized H∞ filtering for switched linear parameter-varying systems with sojourn probabilities and unreliable communication channels [J].

Cheng, Jun ;

Park, Ju H. ;

Cao, Jinde ;

Zhang, Dian .

INFORMATION SCIENCES, 2018, 466 :289-302

[6] A Flexible Terminal Approach to Sampled-Data Exponentially Synchronization of Markovian Neural Networks With Time-Varying Delayed Signals [J].

Cheng, Jun ;

Park, Ju H. ;

Karimi, Hamid Reza ;

Shen, Hao .

IEEE TRANSACTIONS ON CYBERNETICS, 2018, 48 (08) :2232-2244

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

CHUA, LO .

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

[8] Dissipativity Analysis for Stochastic Memristive Neural Networks With Time-Varying Delays: A Discrete-Time Case [J].

Ding, Sanbo ;

Wang, Zhanshan ;

Zhang, Huaguang .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2018, 29 (03) :618-630

[9] Global dissipativity of mixed time-varying delayed neural networks with discontinuous activations [J].

Duan, Lian ;

Huang, Lihong .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (12) :4122-4134

[10] Image processing with neural networks - a review [J].

Egmont-Petersen, M ;

de Ridder, D ;

Handels, H .

PATTERN RECOGNITION, 2002, 35 (10) :2279-2301

← 1 2 3 4 5 →