Synchronization of complex networks with multiple disturbances via aperiodically intermittent control input

Abstract

This paper considers anti-disturbance aperiodically intermittent control of complex dynamical networks with unmatched and matched disturbances. The unmatched ones are suppressed by the $H_{\infty }$ method and the matched ones are compensated via distributed disturbance observers. An event-dependent intermittent strategy is built in terms of an auxiliary function with a square root form and three segmented regions. A composite controller is proposed in terms of output-feedback and the estimated matched disturbances. Moreover, a sufficient criterion is obtained for the synchronization of complex network systems with the $H_{\infty }$ performance index γ through Lyapunov stability theory and linear congruence transformation. Finally, the viability of the proposed approach is verified through two numerical simulations.