Adaptive estimation for delayed neural networks with Markovian jumping parameters

被引:6
作者
Tong, Dongbing [1 ,2 ,3 ]
Zhou, Wuneng [2 ]
Wang, Han [3 ]
Zhou, Jun [2 ]
Zhou, Xianghui [4 ]
Xu, Yuhua [5 ]
机构
[1] Shanghai Univ Engn Sci, Sch Elect & Elect Engn, Shanghai 201620, Peoples R China
[2] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
[3] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore
[4] Yangtze Univ, Freshman Educ Dept, Jing Zhou 434023, Peoples R China
[5] Nanjing Audit Univ, Sch Finance, Nanjing 211815, Jiangsu, Peoples R China
来源
OPTIK | 2015年 / 126卷 / 21期
基金
上海市自然科学基金;
关键词
Neural networks; Adaptive estimation; Markovian jumping parameters; Time delays; COMPLEX DYNAMICAL NETWORKS; STATE ESTIMATION; SYNCHRONIZATION;
D O I
10.1016/j.ijleo.2015.07.055
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In this letter, the adaptive estimation problem of the neuron states is studied for delayed neural networks with Markovian jumping parameters. Through employing a new nonnegative function and the M-matrix method, some sufficient conditions are derived to ensure the almost sure asymptotical stability for the dynamics of estimator error. Several suitable parameters update laws are found by the adaptive feedback control technique. Finally, a simulation example is provided to illustrate the effectiveness of the proposed adaptive estimation method. (C) 2015 Elsevier GmbH. All rights reserved.
引用
收藏
页码:2960 / 2964
页数:5
相关论文
共 17 条
[1]   Distributed H∞ estimation with stochastic parameters and nonlinearities through sensor networks: The finite-horizon case [J].
Ding, Derui ;
Wang, Zidong ;
Dong, Hongli ;
Shu, Huisheng .
AUTOMATICA, 2012, 48 (08) :1575-1585
[2]   State estimation for static neural networks with time-varying delay [J].
Huang, He ;
Feng, Gang ;
Cao, Jinde .
NEURAL NETWORKS, 2010, 23 (10) :1202-1207
[3]   H∞ cluster synchronization and state estimation for complex dynamical networks with mixed time delays [J].
Li, Hongjie .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (12-13) :7223-7244
[4]   Synchronization and state estimation for singular complex dynamical networks with time-varying delays [J].
Li, Hongjie ;
Ning, Zijun ;
Yin, Yunhui ;
Tang, Yang .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (01) :194-208
[5]   Robust State Estimation for Neural Networks With Discontinuous Activations [J].
Liu, Xiaoyang ;
Cao, Jinde .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2010, 40 (06) :1425-1437
[6]   New delay-dependent robust stability criteria for uncertain neutral systems with mixed delays [J].
Lu, Renquan ;
Wu, Haiyi ;
Bai, Jianjun .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (03) :1386-1399
[7]  
Mao X. R., 2006, Stochastic Differential Delay Equations With Markovian Switching, DOI [10.1142/p473, DOI 10.1142/P473]
[8]   Exponential synchronization for stochastic neural networks with multi-delayed and Markovian switching via adaptive feedback control [J].
Tong, Dongbing ;
Zhou, Wuneng ;
Zhou, Xianghui ;
Yang, Jun ;
Zhang, Liping ;
Xu, Yuhua .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 29 (1-3) :359-371
[9]   Exponential State Estimation for Stochastic Complex Dynamical Networks with Multi-Delayed Base on Adaptive Control [J].
Tong, Dongbing ;
Zhou, Wuneng ;
Wang, Han .
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2014, 12 (05) :963-968
[10]   Adaptive synchronization for stochastic T-S fuzzy neural networks with time-delay and Markovian jumping parameters [J].
Tong, Dongbing ;
Zhu, Qingyu ;
Zhou, Wuneng ;
Xu, Yuhua ;
Fang, Jian'an .
NEUROCOMPUTING, 2013, 117 :91-97