Hybrid Event-Triggered Dynamic Control of Positive Markovian Jump Systems

This brief presents two classes of hybrid event-triggered dynamic output-feedback control for positive Markovian jump systems. First, a dynamic estimation system is established. By combining the output triggering conditions of the plant and its dynamic estimation system, the static hybrid event-triggered mechanism is constructed. By employing linear programming, the output-feedback controller and auxiliary controller gain matrices are designed to reach the positivity and stochastic
$\ell _{1}$
stability of the system. Then, a hybrid dynamic event-triggered control is proposed by integrating the system output and the controller system output with the dynamic event-triggered internal variable. Finally, one illustrative example shows the effectiveness of the proposed design.