Robust adaptive synchronization of general dynamical networks with multiple delays and uncertainties

Pramana

LI GUO-ZHI⁴  MOBAYBEN SALEH²  LU YIMING³  MA SHU-HUA³  HE PING2¹ 

[1] School of Automation and Electronic Information, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, People’s Republic of China$$;CRRC TANGSHAN CO., LTD, Tangshan, Hebei, 064000, People’s Republic of China$$;School of Information Science & Engineering, Northeastern University, Shenyang, Liaoning, 110819, People’s Republic of China$$;State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin, Heilongjiang, 150080, People’s Republic of China$$

关键词: Robust adaptive synchronization;    dynamical network;    multiple delays;    multiple uncertainties.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this article, a general complex dynamical network which contains multiple delays and uncertainties is introduced, which contains time-varying coupling delays, time-varying node delay, and uncertainties of both the inner- and outer-coupling matrices. A robust adaptive synchronization scheme for these general complex networks with multiple delays and uncertainties is established and raised by employing the robust adaptive control principle and the Lyapunov stability theory. We choose some suitable adaptive synchronization controllers to ensure the robust synchronization of this dynamical network. The numerical simulations of the time-delay Lorenz chaotic system as local dynamical node are provided to observe and verify the viability and productivity of the theoretical research in this paper. Compared to the achievement of previous research, theresearch in this paper seems quite comprehensive and universal.

【 授权许可】

Unknown