New passivity criteria for uncertain neural networks with time-varying delay

被引:26
作者
Li, Yuanyuan [1 ]
Zhong, Shouming [1 ]
Cheng, Jun [2 ]
Shi, Kaibo [3 ]
Ren, Jiaojiao [3 ]
机构
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
[2] Hubei Univ Nationalities, Sch Sci, Enshi 445000, Hubei, Peoples R China
[3] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 611731, Peoples R China
基金
中国国家自然科学基金;
关键词
Neural networks; Uncertainty; Passivity; Time-varying delay; STABILITY-CRITERIA; ROBUST STABILITY; DISCRETE; SYSTEMS; DESIGN; SYNCHRONIZATION; STABILIZATION; CONTROLLERS;
D O I
10.1016/j.neucom.2015.07.033
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 passivity analysis for neural network with both time-varying delays and norm-bounded parameter uncertainties. A remarkable approach is proposed for constructing a novel Lyapunov-Krasovskii function involving triple integral terms. It does not requiring all the symmetric matrices to be positive definite. Due to the triple-integral terms and relaxation on the positive-definiteness of every Lyapunov-matrix, the conservatism of the results can be successfully reduced. Finally, numerical examples are given to demonstrate the effectiveness of proposed techniques. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:1003 / 1012
页数:10
相关论文
共 46 条
[1]   Global robust passivity analysis for stochastic fuzzy interval neural networks with time-varying delays [J].
Balasubramaniam, P. ;
Nagamani, G. .
EXPERT SYSTEMS WITH APPLICATIONS, 2012, 39 (01) :732-742
[2]   Adaptive regulation synchronization for a class of delayed Cohen-Grossberg neural networks [J].
Che, Wei-Wei ;
Guan, Wei ;
Wang, Yu-Long .
NONLINEAR DYNAMICS, 2013, 74 (04) :929-942
[3]   Improved passivity analysis for neural networks with Markovian jumping parameters and interval time-varying delays [J].
Chen, Guoliang ;
Xia, Jianwei ;
Zhuang, Guangming .
NEUROCOMPUTING, 2015, 155 :253-260
[4]   Improved Results on Passivity Analysis of Uncertain Neural Networks with Time-Varying Discrete and Distributed Delays [J].
Chen, Yonggang ;
Li, Wenlin ;
Bi, Weiping .
NEURAL PROCESSING LETTERS, 2009, 30 (02) :155-169
[5]  
Cheng J., 2015, OPTIM CONTROL APPL M
[6]   Improved integral inequality approach on stabilization for continuous-time systems with time-varying input delay [J].
Cheng, Jun ;
Xiong, Lianglin .
NEUROCOMPUTING, 2015, 160 :274-280
[7]   Finite-time filtering for switched linear systems with a mode-dependent average dwell time [J].
Cheng, Jun ;
Zhu, Hong ;
Zhong, Shouming ;
Zheng, Fengxia ;
Zeng, Yong .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2015, 15 :145-156
[8]   Finite-time H∞ estimation for discrete-time Markov jump systems with time-varying transition probabilities subject to average dwell time switching [J].
Cheng, Jun ;
Zhu, Hong ;
Zhong, Shouming ;
Zhong, Qishui ;
Zeng, Yong .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 20 (02) :571-582
[9]   On delay-dependent passivity [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (04) :664-669
[10]   Advantages of the passivity based control in dynamic voltage restorers for power quality improvement [J].
Gonzalez, Mario ;
Cardenas, Victor ;
Espinosa, Gerardo .
SIMULATION MODELLING PRACTICE AND THEORY, 2014, 47 :221-235