Abstract:

The finitetime synchronization control problem is addressed for complex dynamical networks with linear couplings. In the case that nonlinear dynamics satisfies certain conditions, based on the synchronization error, two different continuous nonsmooth control protocols are proposed, combined with linear feedback principle and finite-time control. The sufficient conditions are given for finite-time synchronization of complex networks by applying matrix theory and finite-time
stability lemma. And finite time synchronization can be achieved with suitable control gain for complex dynamic network with nonlinear couplings. Simulation res
ults verified the correctness and validity of the proposed scheme.

Key words: complex networks, finite-time, synchronization control