Synchronization of complex dynamical networks with hybrid coupling delays on time scales by handling multitude Kronecker product terms

The problem of synchronization is studied for complex dynamical networks with hybrid coupling delays on time scales. The hybrid coupling delays consist of both discrete and distributed coupling delays. Some novel and useful synchronization criteria of complex dynamical networks are derived based on stability theory of error dynamical system. By employing the standard Lyapunov–Krasovskii functional, matrix expansion method to handle multitude Kronecker product terms and the modified Jensen’s inequalities on time scale, new sufficient conditions guaranteeing the global exponential stability of the origin of complex dynamical networks are established interms of linear matrix inequality (LMI). Numerical examples are included to demonstrate the effectiveness of the proposed method.