Synchronization and state estimation for singular complex dynamical networks with time-varying delays

被引：58
作者：
Li, Hongjie [1 ]
Ning, Zijun [1 ]
Yin, Yunhui [1 ]
Tang, Yang [2 ,3 ]
机构：
[1] Jiaxing Univ, Coll Math & Informat & Engn, Hangzhou 314001, Zhejiang, Peoples R China
[2] Donghua Univ, Coll Informat Sci & Technol, Shanghai, Peoples R China
[3] Potsdam Inst Climate Impact Res, Potsdam, Germany
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2013年 / 18卷 / 01期
基金：
美国国家科学基金会;
关键词：
Singular complex networks; Synchronization; State estimator; Delay decomposition approach; Lyapunov-Krasovskii functional; Linear matrix inequalities (LMIs); HOPFIELD NEURAL-NETWORKS; GLOBAL SYNCHRONIZATION; DECOMPOSITION APPROACH; DESCRIPTOR SYSTEMS; COUPLING DELAYS; STABILITY; CRITERIA;
D O I：
10.1016/j.cnsns.2012.06.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper investigates the synchronization and state estimation for singular complex dynamical networks with time-varying delays. Firstly, a modified Lyapunov-Krasovskii functional is constructed by employing the more general decomposition approach, the novel delay-dependent synchronization conditions are derived in terms of linear matrix inequalities, which can be easily solved by various convex optimization algorithms. Secondly, the state estimation problem is then studied for the same complex networks, where the purpose is to design a state estimator to estimate the network states through available output measurement, a delay-dependent asymptotically stability condition is established for the system of the estimation error. Some numerical examples are exploited to illustrate the effectiveness of the proposed synchronization and state estimation conditions. (c) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：194 / 208
页数：15
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