State estimation using a network of distributed observers with switching communication topology

State estimation of linear time-invariant (LTI) systems by using a network distributed observers is studied in this paper. We assume that each observer has access to local measurement which may be insufficient provide the observability system, but ensemble all measurements guarantees observability. In condition, objective design state approach such that, while can exchange their estimated vectors under communication network, vector converges system. consider scenario when links fail and rebuild over time does not stay connected constantly. Accordingly, main contribution paper propose (with on feasibility design) system if union/joint bounded intervals makes graph connected. Moreover, we also LTI subject external disturbances noise. case, derive sufficient conditions proposed topology stays during failure, desired ?? performance attenuate effect noise errors guaranteed. Simulation results show effectiveness approach.