Adaptive synchronization of the complex dynamical network with double non-delayed and double delayed coupling

• Published in: International journal of control, automation, and systems Vol. 10; no. 2; pp. 415 - 420
• Main Authors: Xu, Yuhua, Zhou, Wuneng, Fang, Jian-an
• Format: Journal Article
• Language: English
• Published: Heidelberg Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.04.2012; Springer Nature B.V; 제어·로봇·시스템학회
• Subjects: Control; Dynamical systems; Engineering; Information communication; Mechatronics; Robotics; Science; Studies; Technical Notes and Correspondence; 제어계측공학; complex network; synchronization; double delayed coupling; Adaptive
• ISSN: 1598-6446; 2005-4092
• DOI: 10.1007/s12555-012-0221-z

To simulate more realistic networks, we introduce a complex dynamical network model with double non-delayed and double delayed coupling and further investigate its synchronization phenomenon in this paper. Based on Lyapunov stability theory, adaptive synchronization criteria is obtained. Analytical result shows that under the designed adaptive controllers, the complex dynamical network with double non-delayed and double delayed coupling can asymptotically synchronize to a given trajectory. What is more, the coupling matrix is not assumed to be symmetric or irreducible. Finally, simulation results show the method is effective.