Adaptive lag synchronization of uncertain dynamical systems with time delays via simple transmission lag feedback  

作　　者：顾卫东 孙志勇 吴晓明 于长斌 

机构地区：[1]Shandong Provincial Key Laboratory of Computer Network, Shandong Computer Science Center

出　　处：《Chinese Physics B》2013年第8期346-355,共10页中国物理B（英文版）

基　　金：supported by the National Science and Technology Major Project,China(Grant No.2011ZX03005-002);the Shandong Academy of Science Development Fund for Science and Technology,China;the Pilot Project for Science and Technology in Shandong Academy of Sciences,China

摘　　要：In this paper we present an adaptive scheme to achieve lag synchronization for uncertain dynamical systems with time delays and unknown parameters. In contrast to the nonlinear feedback scheme reported in the previous literature, the proposed controller is a linear one which only involves simple feedback information from the drive system with signal popagation lags. Besides, the unknown parameters can also be identified via the proposed updating laws in spite of the existence of model delays and transmission lags, as long as the linear independence condition between the related function elements is satisfied. Two examples, i.e., the Mackey-Glass model with single delay and the Lorenz system with multiple delays, are employed to show the effectiveness of this approach. Some robustness issues are also discussed, which shows that the proposed scheme is quite robust in switching and noisy environment.In this paper we present an adaptive scheme to achieve lag synchronization for uncertain dynamical systems with time delays and unknown parameters. In contrast to the nonlinear feedback scheme reported in the previous literature, the proposed controller is a linear one which only involves simple feedback information from the drive system with signal popagation lags. Besides, the unknown parameters can also be identified via the proposed updating laws in spite of the existence of model delays and transmission lags, as long as the linear independence condition between the related function elements is satisfied. Two examples, i.e., the Mackey-Glass model with single delay and the Lorenz system with multiple delays, are employed to show the effectiveness of this approach. Some robustness issues are also discussed, which shows that the proposed scheme is quite robust in switching and noisy environment.

关 键 词：adaptive feedback time delay lag synchronization parameter identification noise perturbation 

分 类 号：O19[理学—数学] O231[理学—基础数学]