Synchronization of time-delayed complex networks with delay-partitioning: A Chua’s circuit networks application

Abstract

This article addresses the almost surely global exponential synchronization (ASGES) for complex networks in the delay-partitioning framework. Under impulsive control, by dividing impulse intervals and time delay, the information of the impulse intervals can be more fully utilized. Firstly, a novel type of Lyapunov functional is introduced by applying a practical switching law, which combines mode-dependent average dwell-time (MDADT) and transition probability (TP). The use of the partition method makes the relationship between the undelayed state and the delayed state can be better handled, delay-dependent stability criteria are established with less conservatism. Secondly, under the action of impulsive control and fault-tolerant control, a controller synthesis algorithm is provided. Moreover, a corollary extends the results to intermittent control. Finally, an example of Chua’s circuit networks is provided to illustrate the effectiveness of proposed method, which can obtain larger allowable time-delay.