Finite-time H∞ synchronization for complex dynamical networks with mixed mode-dependent time delays

Abstract

This paper investigated the finite-time H∞ synchronization control for complex dynamical networks with mixed mode-dependent time delays. The complex dynamical networks system contains the general coupling term and the time-delay coupling term. The state feedback control is designed to ensure that the complex dynamical networks system is finite time H∞ synchronized. The sufficient conditions are established in the form of linear matrix inequalities by constructing a suitable Lyapunov–Krasovskii functional with triple integral terms and using Kronecker product. In the last, a numerical example is given to demonstrate the effectiveness of proposed approach.