Finite-time synchronization of complex-valued neural networks with adaptive coupling weights

The finite-time synchronization problem is considered for the networked complex-valued neural networks in the present paper. Different from the separating method in the literature, the complex-valued state variables are used directly to design finite-time control scheme, involving impulsive control and two-phase method. By employing adaptive laws, the finite-time synchronization criterion are given in terms of algebraic inequalities. Based on the two-phase method, a novel piecewise control scheme is proposed, in order to simplify the control design. A numerical example is given to show the validity of the proposed control.