Dynamic event-triggered synchronization of complex networks with switching topologies: Asynchronous observer-based case

In this paper, the issue of observer-based synchronization for discrete complex networks with Markov switching topologies is investigated. First, the asynchronous phenomenon between the observer and the node is considered. By resorting to a hidden Markov model (HMM), an non-homogenous observer with an asynchronous topological structure and gain is developed to estimate the state of nodes. Second, for saving precious communication resources, the remote controller updates the control signal based on a dynamic event-triggered scheme (DETS). In this scheme, the threshold of DETS is improved into a diagonal threshold matrix, and the desired system performance can be obtained by flexibly arranging each entry of threshold matrix. To unify the works of the synchronization and state observation, an augmented error system (AES) is established. Subsequently, sufficient conditions for H∞ synchronization of complex networks with asynchronous constraints are proposed by choosing a suitable Lyapunov function. Finally, two simulation examples are implemented to demonstrate the effectiveness of the above results.