Exponential stability for the neutral-type singular neural network with time-varying delays

被引：5
作者：
Ma, Yuechao [1 ]
Ma, Nannan [1 ]
Chen, Lin [2 ]
Zheng, Yuqing [3 ]
Han, Yu [1 ]
机构：
[1] Yanshan Univ, Coll Sci, Qinhuangdao 066004, Hebei, Peoples R China
[2] Southwest Petr Univ, Coll Sci, Chengdu 610500, Sichuan, Peoples R China
[3] Tianjin Univ, Coll Elect Engn, Tianjin 300072, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS | 2019年 / 10卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Neutral type descriptor system; Neural network; Exponential stability; Linear matrix inequality; DEPENDENT STABILITY; COMPLEX NETWORKS; SYNCHRONIZATION; CRITERIA;
D O I：
10.1007/s13042-017-0764-7
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 deals with the problem of global exponential stability for neutral type singular networks with time-varying delays. Delay-dependent criterion is proposed to guarantee the exponential stability of neutral type singular networks via linear matrix inequality (LMI) approach. Improved global exponential stability condition is derived by employing a new Lyapunov-Krasovskii functional and a rarely integral inequality. The developed result is less conservative than previous published ones in the literature, which is illustrated by representative numerical examples.
引用
收藏
页码：853 / 858
页数：6
相关论文
共 33 条
[1]   Delay-dependent exponential stability of neural networks with variable delay: An LMI approach [J].
Chen, Wu-Hua ;
Lu, Xiaomei ;
Guan, Zhi-Hong ;
Zheng, Wed Xing .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (09) :837-842
[2]   Exponential Stability of Periodic Solution for Impulsive Memristor-Based Cohen-Grossberg Neural Networks with Mixed Delays [J].
Feng, Jiqiang ;
Ma, Qiang ;
Qin, Sitian .
INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE, 2017, 31 (07)
[3]   Global exponential stability for uncertain cellular neural networks with multiple time-varying delays via LMI approach [J].
Gau, R. S. ;
Lien, C. H. ;
Hsieh, J. G. .
CHAOS SOLITONS & FRACTALS, 2007, 32 (04) :1258-1267
[4]   A new delay-dependent absolute stability criterion for a class of nonlinear neutral systems [J].
Han, Qing-Long .
AUTOMATICA, 2008, 44 (01) :272-277
[5]   On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty [J].
Han, QL .
AUTOMATICA, 2004, 40 (06) :1087-1092
[6]  
Han R, 2009, ANN DIFFER EQU, V25, P150
[7]   An Inertial Projection Neural Network for Solving Variational Inequalities [J].
He, Xing ;
Huang, Tingwen ;
Yu, Junzhi ;
Li, Chuandong ;
Li, Chaojie .
IEEE TRANSACTIONS ON CYBERNETICS, 2017, 47 (03) :809-814
[8]   A Recurrent Neural Network for Solving Bilevel Linear Programming Problem [J].
He, Xing ;
Li, Chuandong ;
Huang, Tingwen ;
Li, Chaojie ;
Huang, Junjian .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2014, 25 (04) :824-830
[9]   An improved global asymptotic stability criterion for delayed cellular neural networks [J].
He, Y ;
Wu, M ;
She, JH .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2006, 17 (01) :250-252
[10]   Stability analysis for neural networks with time-varying interval delay [J].
He, Yong ;
Liu, G. P. ;
Rees, D. ;
Wu, Min .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (06) :1850-1854
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