Finite-Time Function Projective Synchronization in Complex Multi-links Networks with Time-Varying Delay

Weiping Wang, Haipeng Peng, Lixiang Li, Jinghua Xiao, Yixian Yang

Abstract: This paper investigates the problem of finite-time function projective synchronization in complex multi-links networks with time-varying delay. A nonlinear feedback controller is designed to achieve finite-time function projective synchronization. Some novel and useful finite-time function projective synchronization criteria are derived based on finite-time stability theory. And another controller is designed to ensure function projective synchronization of complex multi-links networks with time-varying delay. Finally, illustrative examples are given to show the feasibility of the proposed method.