Adaptive pinning impulsive synchronization of dynamical networks with time-varying delay

作者：Gong, Xiaoli; Wu, Zhaoyan^*

来源：Advances in Difference Equations, 2015, 2015(1): 240.

DOI：10.1186/s13662-015-0576-6

• synchronization
• dynamical network
• pinning impulsive control
• time-varying delay

In this paper, synchronization in dynamical networks with time-varying delay is investigated. Networks with time-varying coupling delay and node delay are both studied. By introducing adaptive strategy into pinning impulsive scheme, some effective and universal controllers are designed. In the proposed control schemes, for any given networks, the impulsive gains can adjust themselves to proper values when the impulsive intervals and some parameters are fixed. On the other hand, the impulsive instants can be estimated by solving a sequence of maximum value problems when the impulsive gains and some parameters are fixed. Based on the Lyapunov function method and mathematical analysis technique, several synchronization criteria are derived. Finally, numerical examples are performed to verify the effectiveness of the theoretical results.

• 出版日期2015-8-6
• 单位江西师范大学