Robust passivity analysis for neutral-type neural networks with mixed and leakage delays

被引:22
作者
Samidurai, R. [1 ]
Rajavel, S. [1 ]
Zhu, Quanxin [2 ,3 ]
Raja, R. [4 ]
Zhou, Hongwei [5 ]
机构
[1] Thiruvalluvar Univ, Dept Math, Vellore 632115, Tamil Nadu, India
[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
[3] Nanjing Normal Univ, Inst Finance & Stat, Nanjing 210023, Jiangsu, Peoples R China
[4] Alagappa Univ, Ramanujan Ctr Higher Math, Karaikkudi 630004, Tamil Nadu, India
[5] Nanjing Xiaozhuang Univ, Sch Informat Engn, Nanjing 211171, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
Neutral-type neural network; Passivity; Lyapunov-Krasovskii functional; Leakage delay; Convex combination technique; GLOBAL EXPONENTIAL STABILITY; TIME-DELAY; DISCRETE;
D O I
10.1016/j.neucom.2015.10.103
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 investigates the problem of passivity of neutral-type neural networks with mixed and leakage delays. By establishing a suitable augmented Lyapunov functional and combining a new integral inequality with the reciprocally convex combination technique, we obtain some sufficient passivity conditions, which are formulated in terms of linear matrix inequalities (LMIs). Here, some useful information on the neuron activation function ignored in the existing literature is taken into account Finally, some numerical examples are given to demonstrate the effectiveness of the proposed method. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:635 / 643
页数:9
相关论文
共 41 条
[1]   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
[2]  
Boyd S., 1994, SIAM STUDIES APPL MA
[3]   Passivity analysis for uncertain neural networks with discrete and distributed time-varying delays [J].
Chen, Bing ;
Li, Hongyi ;
Lin, Chong ;
Zhou, Qi .
PHYSICS LETTERS A, 2009, 373 (14) :1242-1248
[4]   On passivity analysis for stochastic neural networks with interval time-varying delay [J].
Fu, Jie ;
Zhang, Huaguang ;
Ma, Tiedong ;
Zhang, Qingling .
NEUROCOMPUTING, 2010, 73 (4-6) :795-801
[5]   Leakage delays in BAM [J].
Gopalsamy, K. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (02) :1117-1132
[6]  
Gopalsamy K., 2013, STABILITY OSCILLATIO, V74
[7]  
Grossberg S., 2004, IEEE T SYST MAN CYB, V13, P815
[8]  
Gupta M.M., 2003, STATIC DYNAMIC NEURA, DOI DOI 10.1002/0471427950
[9]  
He, 2000, NEURAL NETWORKS, V16, P1195
[10]   STABILITY OF NONLINEAR DISSIPATIVE SYSTEMS [J].
HILL, D ;
MOYLAN, P .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (05) :708-711