L₂-gain analysis for synchronization of stochastic complex network with switched topology and time-varying delay

We investigate the exponential stability and L₂-gain analysis for the synchronization of stochastic complex networks under average dwell time switched topology with consideration of external disturbance, internal noise and fast time-varying delay in the synchronized process. Based on the proposed stochastic network, a new L₂-gain synchronization is proposed to solve the mean-square exponential stable under switched topology with an H _∞ performance from the extrinsic disturbances to the synchronization error. The obtained results are applicable for the fast time-varying case with larger-than-1 delay derivative. Finally, numerical simulations are performed to demonstrate the effectiveness of our strategies.