Stability analysis of continuous-time linear system with sampled-data observer

In this paper, the stability problem of continuous-time linear system via sampled output is investigated. By assumption that only sampled output can be available, a sampled-data based state observer is provided, by which a controller is constructed for the continuous-time linear system. By using the Lyapunov approach, the stability problem is addressed via our provided control law. Finally, a simulation example is provided to illustrate the efficiency of the theoretical analysis.