Robust adaptive synchronization of uncertain and delayed dynamical complex networks with faulty network  

作　　者：金小峥 杨光红 

机构地区：[1]Key Laboratory of Manufacturing Industrial Integrated Automation,Shenyang University [2]College of Information Science and Engineering,Northeastern University

出　　处：《Chinese Physics B》2010年第8期184-190,共7页中国物理B（英文版）

基　　金：Project supported by the Funds for Creative Research Groups of China(Grant No.60821063);the National Basic Research Program of China(Grant No.2009CB320604);the National Natural Science Foundation of China(Grant No.60974043);the 111 Project(Grant No.B08015);the Science and Technology Research Project of the Educational Department of Liaoning Province of China(Grant No.2008S156)

摘　　要：This paper presents a new robust adaptive synchronization method for a class of uncertain dynamical complex networks with network failures and coupling time-varying delays. Adaptive schemes are proposed to adjust controller parameters for the faulty network compensations, as well as to estimate the upper and lower bounds of delayed state errors and perturbations to compensate the effects of delay and perturbation on-line without assuming symmetry or irreducibility of networks. It is shown that, through Lyapunov stability theory, distributed adaptive controllers con- structed by the adaptive schemes are successful in ensuring the achievement of asymptotic synchronization of networks in the present of faulty and delayed networks, and perturbation inputs. A Chua＇s circuit network example is finally given to show the effectiveness of the proposed synchronization criteria.This paper presents a new robust adaptive synchronization method for a class of uncertain dynamical complex networks with network failures and coupling time-varying delays. Adaptive schemes are proposed to adjust controller parameters for the faulty network compensations, as well as to estimate the upper and lower bounds of delayed state errors and perturbations to compensate the effects of delay and perturbation on-line without assuming symmetry or irreducibility of networks. It is shown that, through Lyapunov stability theory, distributed adaptive controllers con- structed by the adaptive schemes are successful in ensuring the achievement of asymptotic synchronization of networks in the present of faulty and delayed networks, and perturbation inputs. A Chua＇s circuit network example is finally given to show the effectiveness of the proposed synchronization criteria.

关 键 词：dynamical complex networks SYNCHRONIZATION robust adaptive control faulty network time-varying delays 

分 类 号：O157.5[理学—数学] O231[理学—基础数学]