Impulsive synchronization of a network with time-varying topology and delay

Abstract

Abstract In this paper, synchronization of a network with time-varying topology and delay is investigated. Firstly, proper controllers are designed for achieving synchronization by adopting impulsive control scheme. Based on the linear matrix inequality technique and the Lyapunov function method, a synchronization criterion is derived and analytically proved. Secondly, controllers are improved by introducing adaptive strategy, and an adaptive synchronization criterion is obtained correspondingly. The updating law of the impulsive gain and the method for estimating the impulsive instant are provided in terms of the adaptive synchronization criterion. Finally, numerical simulations are performed to demonstrate the effectiveness of the theoretical results.

Keywords

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