Generalized Lag Output Synchronization of the Multiple Output Coupled Complex Dynamical Networks

The generalized lag output synchronization for a complex dynamical network with multiple output couplings is investigated in the present paper, in which the output matrix is positive definite or semi-positive definite. By selecting an appropriate controller and Lyapunov functional and employing inequality techniques, a sufficient condition is obtained to guarantee the generalized lag output synchronization of the complex network with positive definite output matrix. Moreover, we also use the similar method to study the case that output matrix is semi-positive definite. Lastly, two numerical examples are given to demonstrate the effectiveness of the proposed criteria.