Event-Triggered Control for Linear Descriptor Systems

In this paper, event-triggered strategies for linear descriptor systems are presented. By studying the descriptor system in terms of the second equivalent form and employing the Lyapunov theory and linear matrix inequality (LMI) approach, the control law and event-triggered condition guaranteeing the admissible behavior of the descriptor system are proposed. Furthermore, we prove that the inter-sampling times are strictly positive in the proposed event-triggered condition. Finally, a simulation example is given to illustrate the efficiency of the results.