Asynchronous finite‐time dynamic output feedback control for switched time‐delay systems with non‐linear disturbances

The asynchronous finite‐time dynamic output feedback control problem is concerned for switched time‐delay systems with non‐linear disturbances. By constructing multiple Lyapunov functions and resorting to the average dwell‐time approach, an asynchronous dynamic output feedback controller is designed to ensure the finite‐time stability of the resulting closed‐loop system, where asynchronous means that there is a lag between switching of controllers and subsystems. It should be pointed out that the Lyapunov function energy is allowed to increase during the running intervals of the active subsystems. Furthermore, all the conditions are formulated in forms of a set of linear matrix inequalities which can be easily solved by using the recently developed interior point method. Finally, two examples are provided to show the potential of the main results.