Parameter identification based on lag synchronization via hybrid feedback control in uncertain drive-response dynamical networks

Advances in Difference Equations

Weigang Sun¹  Hongming Liu¹  Ghada Al-mahbashi² 

[1] Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, China;School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia UKM, Bangi, Malaysia

关键词: lag synchronization;    uncertain network;    parameter identification;   

DOI  :  10.1186/s13662-017-1181-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we use a hybrid feedback control method to study lag synchronization in uncertain drive-response dynamical networks with a feature that the unknown system parameter exists in the node dynamics. We then design two hybrid feedback control methods to achieve the lag synchronization including the linear and adaptive feedback control. With the designed controllers and update laws for the system parameter in the node dynamics, we obtain two theorems on the lag synchronization based on the LaSalle invariance principle. When the lag synchronization is achieved, we identify the unknown system parameter. Finally, we provide two numerical examples to verify the efficiency of the proposed control schemes.

【 授权许可】

CC BY