Pinning lag synchronization of complex dynamical networks with known state time-delay and unknown channel time-delay

作者：Yang, Huilan^*; Shu, Lan; Zhong, Shouming

来源：Nonlinear Dynamics, 2017, 89(3): 1793-1802.

DOI：10.1007/s11071-017-3552-8

• Lag synchronization
• Complex dynamical networks
• Pinning control
• Channel time-delay

In this paper, a linear and adaptive feedback pinning strategy is used to study the lag synchronization of complex dynamical networks with known state time-delay and unknown channel time-delay. Firstly, based on the Lyapunov stability theory, a novel Lyapunov functional, which involves the estimated error rather than the general synchronization error , is constructed. Secondly, in view of the unknown information of the channel time-delay, two available pinning controllers are designed such that the considered networks achieve lag synchronization. Furthermore, by a proper adaptation mechanism, we estimate the unknown channel time-delay successfully under the case that the initial value of the estimated channel time-delay is larger than true channel time-delay, i.e., and the another case . Finally, the effectiveness and correctness of the lag synchronization criteria are verified through two simulation experiments.

• 出版日期2017-8
• 单位电子科技大学