Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1713423 | Nonlinear Analysis: Hybrid Systems | 2015 | 17 Pages |
The H∞H∞ synchronization problem for complex dynamical networks with coupling delays and external disturbance via distributed impulsive control is studied. Two types of time-varying coupling delays are considered: the delays without any restriction on the delay derivatives, and the delays whose derivatives are strictly less than 1. A time-varying Lyapunov function/functional approach is applied to L2L2-gain analysis of the synchronization error systems. H∞H∞ synchronization criteria are established to guarantee the synchronization to be robust with respect to disturbance in the sense that the L2L2-gain from the disturbance to the control output is satisfactorily small. For each type of coupling delays, an algorithm involving convex optimization is proposed to design distributed impulsive controllers achieving a suboptimal value of the sum of coupling strengths for a prescribed L2L2-gain. Two numerical examples illustrate the efficiency of the theoretical results.