Network synchronization under distributed delayed impulsive control: Average delayed impulsive weight approach

This paper mainly investigates synchronization of complex dynamical networks (CDNs) with both system delay and coupled delay through distributed delayed impulsive control. Instead of constraining the impulsive weight and impulsive delay one by one, a new concept of average delayed impulsive weight is proposed to obtain more relaxed conditions. Subsequently, based on the impulsive control topology, Lyapunov theory and linear matrix inequality (LMI) design, certain flexible criteria of global exponential synchronization (GES) are given and the corresponding convergence rate is estimated. It is interesting to see that the CDNs can still achieve synchronization under comprehensive conditions though impulsive weights work negatively. Namely, the delays in impulsive control are able to promote synchronization potentially. Finally, simulations are given to show that the distributed delayed impulsive control can not only speeds up the convergence rate for synchronized networks, but also facilitates synchronization for desynchronized networks. In addition, the obtained results can be applied to unmanned craft systems. (c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

This paper investigates the synchronization of complex dynamical networks with both system delay and coupled delay using distributed delayed impulsive control. A new concept of average delayed impulsive weight is proposed to obtain more relaxed conditions. The criteria for global exponential synchronization are derived based on the impulsive control topology, Lyapunov theory, and linear matrix inequality (LMI) design. Simulation results demonstrate that the distributed delayed impulsive control can speed up the convergence rate for synchronized networks and facilitate synchronization for desynchronized networks.