H∞ event-triggered synchronization control of singular semi-Markov switched complex networks with transmitted delays

This paper deals with the H∞ exponential synchronization problem of singular semi-Markov switched complex dynamical networks (CDNs) subject to transmitted delays. Firstly, an event-triggered communication mechanism (ETCM) is developed to save singular semi-Markov switched CDNs bandwidth. A positive constant sampled-data interval is applied to avoid the Zeno behavior in an ETCM. Secondly, by discussing the data transmission of sensors and controllers, the novel delays singular semi-Markov switched CDNs are modeled to investigate the H∞ exponential synchronization problem of singular semi-Markov switched CDNs with transmitted delays via the based-on ETCM output control protocol. Moreover, some new sufficient conditions are established such that H∞ exponential synchronization of singular semi-Markov switched CDNs can be achieved. Finally, the simulation result of the presented method is shown via two cases, which demonstrates the effectiveness of the main results.