Finite-time synchronization of multiweighted and directed complex-valued networks

We investigate finite-time synchronization (FTS) of multiweighted and directed complex-valued networks (MWDCVNs), which is denoted by complex-valued ordinary differential equations. We divide complex-valued error system into real and imaginary part separately. For each part, we use two methods. One method is rearranging variables’ order technique (ROT). The other method is Kronecker order technique (KOT). Besides, we study cooperative and competitive relationships both in inner and outer coupling terms, while few papers have considered competitive relationship. Corresponding numerical experiments confirm the validity of our theories.