Exponential Mean-Square Stability for Network-Based Singular Control Systems

The problem of stability for network-based singular control systems with time-delay and data packet is studied. In the presence of time-delay and random packet dropout, sufficient conditions for the existence of a feedback controller are derived, such that the closed-loop network-based singular control systems are exponentially mean-square stable in the mean-square sense. Then a linear matrix inequality (LMI) approach for designing such a controller is presented. Finally, a simulation example is used to demonstrate the effectiveness of the proposed method.