Synchronization of nonlinear singularly perturbed complex networks with uncertain inner coupling via event triggered control.

This study is concerned with the synchronization problem of nonlinear singularly perturbed complex networks with time-varying coupling delays. In an aim to shrink the treatment of network resources event triggered control strategy is proposed to achieve the synchronization criteria. By developing the novel LyapunovKrasovskii functional, some adequate conditions which ensure the asymptotic synchronization are obtained in the form of linear matrix inequalities. Besides that, synchronization problem of nonlinear singularly perturbed complex networks with uncertain inner coupling are also taken into account. The uncertain inner coupling is represented by making use of the interval matrix approach. Finally, simulation results are displayed to show the efficacy of the proposed theoretical results.