Finite-time lag synchronization for uncertain complex networks involving impulsive disturbances

Abstract

This paper focuses on the finite-time lag synchronization (FTLS) of uncertain complex networks involving impulsive disturbance effects. By designing two different controllers, some Lyapunov-based conditions are established in terms of linear matrix inequalities to ensure the FTLS of impulsive systems, where the upper bound of the synchronizing times can be estimated via constructing Lyapunov functions. It is interesting to discover that the synchronizing time depends not only on the initial value but also on the impulse sequences, which implies that different impulses will lead to different synchronization times. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed FTLS criterion.