Discrete-time state observations control to synchronization of hybrid-impulses complex-valued multi-links coupled systems

The synchronization of stochastic hybrid-impulses complex-valued multi-links coupled systems (SHCMCS) based on discrete-time state observations control is studied. Therein, hybrid impulses, multiple links and complex-valued factors are considered simultaneously, which make the model more common. By using the Lyapunov method and Kirchhoff's Matrix Tree Theorem, average impulsive interval and average impulsive gain, the synchronization is achieved. Moreover, synchronization criteria are obtained, whose sufficient conditions reflect that the realization of synchronization depends on coupled strength and stochastic disturbance strength. In addition, stochastic complex-valued multi-links coupled oscillators with hybrid impulses are studied. Finally, a numerical test is presented to illustrate the validity of results.