Robust passive filtering for neutral-type neural networks with time-varying discrete and unbounded distributed delays

被引:57
作者
Lin, Xue [1 ]
Zhang, Xian [1 ]
Wang, Yantao [1 ]
机构
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 05期
关键词
MARKOVIAN JUMPING PARAMETERS; STABILITY ANALYSIS; EXPONENTIAL STABILITY; STATE ESTIMATION; INTERVAL; SYSTEMS; CRITERIA;
D O I
10.1016/j.jfranklin.2013.01.021
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The passive filtering problem is studied for a class of neutral-type neural networks with time-varying discrete and unbounded distributed delays. Based on the passive theory, a sufficient condition for the existence of the robust passive filter is given. By introducing an appropriate Lyapunov-Krasovskii functional and using Jensen's inequality technique to deal with its derivative, the criterion which ensures error dynamic system to be strictly passive with dissipation gamma > 0 is presented in the form of nonlinear matrix inequality. In order to solve the nonlinear problem, a cone complementarity linearization (CCL) algorithm is proposed. Furthermore, when the norm-bounded parameter uncertainties appear in the class of neural networks, the corresponding robust passive filtering problem is also investigated. Three examples are given to demonstrate the effectiveness of the proposed method. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:966 / 989
页数:24
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