Synchronization and H_∞ synchronization of multi-weighted complex delayed dynamical networks with fixed and switching topologies

The synchronization and H_∞ synchronization of multi-weighted complex dynamical networks with fixed and switching topologies are respectively investigated in this paper. Firstly, by putting to use Lyapunov functional approach and some inequality techniques, we establish a synchronization criterion for the multi-weighted complex dynamical network with fixed topology. Moreover, the similar methods can be applied to get the criterion for achieving synchronization on multi-weighted complex dynamical networks with switching topology. In addition, when the above mentioned networks appear external disturbances, two criteria are acquired to ensure the H_∞ synchronization for the networks. Finally, two numerical examples are provided to demonstrate the correctness of the acquired synchronization criteria.