Semi-periodically intermittent control for synchronization of switched complex networks: a mode-dependent average dwell time approach
Date of Original Version
In this paper, we study the synchronization problem for switched complex networks with delayed coupling via semi-periodically intermittent control technique and a mode-dependent average dwell time method. The mathematical model of switched complex networks is established, and the networks switch among a finite number of subnetworks in accordance with a switching rule. By applying multiple Lyapunov function method and the mode-dependent average dwell time (MDADT) approach, less conservative synchronization criteria are derived based on a sequence of solvable linear matrix inequalities. Particularly, the conventional synchronization conditions are improved by using semi-periodically intermittent control and MDADT approach. Moreover, delayed coupling may affect the stability of the switched complex networks. In this paper, novel synchronization criteria are derived to deal with the relations between time delay and other parameters appropriately. Finally, a numerical example is provided to demonstrate the effectiveness of the derived theoretical results.
Qiu, Jianlong, Liyan Cheng, Xiangyong Chen, Jianquan Lu, and Haibo He. "Semi-periodically intermittent control for synchronization of switched complex networks: a mode-dependent average dwell time approach." Nonlinear Dynamics 83, 3 (2016): 1757-1771. doi:10.1007/s11071-015-2445-y.