Novel results on passivity and exponential passivity for multiple discrete delayed neutral-type neural networks with leakage and distributed time-delays

被引：36

作者：

Maharajan, C. ^{[1
]}

Raja, R. ^{[2
]}

Cao, Jinde ^{[3
]}

Rajchakit, G. ^{[4
]}

Alsaedi, Ahmed ^{[5
]}

机构：

[1] Alagappa Univ, Dept Math, Karaikkudi 630004, Tamil Nadu, India

[2] Alagappa Univ, Ramanujan Ctr Higher Math, Karaikkudi 630004, Tamil Nadu, India

[3] Southeast Univ, Sch Math, Nanjing 211189, Jiangsu, Peoples R China

[4] Maejo Univ, Fac Sci, Dept Math, Chiang Mai, Thailand

[5] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

来源：

CHAOS SOLITONS & FRACTALS | 2018年 / 115卷

关键词：

Neural networks; Lyapunov-Krasovskii functional; Passivity; Neutral-type neural networks; Linear matrix inequality; Exponential passivity; Distributed time-delays; Multiple discrete delays; Neutral delays; Leakage delays; MARKOVIAN JUMPING PARAMETERS; OUTPUT-FEEDBACK CONTROL; VARYING DELAYS; STABILITY-CRITERIA; DEPENDENT STABILITY; SYSTEMS; BAM; TERM; DESIGN;

D O I：

10.1016/j.chaos.2018.07.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates the problem of passivity and exponential passivity for neutral-type neural networks (NNNs) with leakage, multiple discrete delay and distributed time-delay, via some novel sufficient conditions. Based on an appropriate Lyapunov-Krasovskii functional (LKF), free weighting matrix approach and some inequality techniques, enhanced passivity criteria for the concerned neural networks is established in the form of Linear matrix inequalities (LMIs). The feasibility of the attained passivity and exponential passivity criterions easily verified by the aid of LMI control toolbox in MATLAB software. Furthermore, we have compared our method with previous one in the existing literature, which depicts its less conservativeness. To substantiate the superiority and effectiveness of our analytical design, two examples with their numerical simulations are provided. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：268 / 282

页数：15

共 64 条

[1]

[Anonymous], 2001, Neural Networks: A Comprehensive Foundation

[2]

[Anonymous], INNOVATIONS INFORM E

[3] Passivity analysis for neural networks of neutral type with Markovian jumping parameters and time delay in the leakage term [J].

Balasubramaniam, P. ;

Nagamani, G. ;

Rakkiyappan, R. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (11) :4422-4437

[4] Global Passivity Analysis of Interval Neural Networks with Discrete and Distributed Delays of Neutral Type [J].

Balasubramaniam, P. ;

Nagamani, G. ;

Rakkiyappan, R. .

NEURAL PROCESSING LETTERS, 2010, 32 (02) :109-130

[5] New global asymptotic stability of discrete-time recurrent neural networks with multiple time-varying delays in the leakage term and impulsive effects [J].

Balasundaram, K. ;

Raja, R. ;

Zhu, Quanxin ;

Chandrasekaran, S. ;

Zhou, Hongwei .

NEUROCOMPUTING, 2016, 214 :420-429

[6] Stochastic global exponential stability for neutral-type impulsive neural networks with mixed time-delays and Markovian jumping parameters [J].

Bao, Haibo ;

Cao, Jinde .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (09) :3786-3791

[7]

Bao J, 2007, ADV IND CONTROL, P1, DOI 10.1007/978-1-84628-893-7

[8] Passivity analysis of stochastic time-delay neural networks [J].

Chen, Yun ;

Wang, Huijiao ;

Xue, Anke ;

Lu, Renquan .

NONLINEAR DYNAMICS, 2010, 61 (1-2) :71-82

[9] Improved mixed-delay-dependent asymptotic stability criteria for neutral systems [J].

Ding, Liming ;

He, Yong ;

Wu, Min ;

Ning, Chongyang .

IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (14) :2180-2187

[10] Exponential passivity of BAM neural networks with time-varying delays [J].

Du, Yuanhua ;

Zhong, Shouming ;

Zhou, Nan ;

Nie, Lei ;

Wang, Wenqin .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 221 :727-740

← 1 2 3 4 5 6 7 →