Simultaneous identification of unknown time delays and model parameters in uncertain dynamical systems with linear or nonlinear parameterization by autosynchronization  

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9期190-196,共7页中国物理B（英文版）

基　　金：supported by the National Science and Technology Major Project of the Ministry of Science and Technology of 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 Science, China

摘　　要：In this paper, we propose a general method to simultaneously identify both unknown time delays and unknown model parameters in delayed dynamical systems based on the autosynchronization technique. The design procedure is presented in detail by constructing a specific Lyapunov function and linearizing the model function with nonlinear parameterization. The obtained result can be directly extended to the identification problem of linearly parameterized dynamical systems. Two Wpical numerical examples confirming the effectiveness of the identification method are given.In this paper, we propose a general method to simultaneously identify both unknown time delays and unknown model parameters in delayed dynamical systems based on the autosynchronization technique. The design procedure is presented in detail by constructing a specific Lyapunov function and linearizing the model function with nonlinear parameterization. The obtained result can be directly extended to the identification problem of linearly parameterized dynamical systems. Two Wpical numerical examples confirming the effectiveness of the identification method are given.

关 键 词：autosynchronization parameter identification delay identification nonlinear parameterization 

分 类 号：O19[理学—数学] O231[理学—基础数学]