Event-triggered stabilisation for switched delayed differential systems: the input-to-state stability

In this study, the boundedness and the input-to-state stabilisation problems are investigated for a kind of switched delayed differential systems with exogenous disturbances. To reduce the communication burden, an event-triggered strategy is adopted in the feedback control loop to stabilise the addressed switched delayed differential systems. The notions of boundedness and input-to-state practical stability are employed to characterise the control objectives in the presence of exogenous disturbances, switching signals and event-triggered schemes. Some upper bounds on the system states are obtained and the Zeno phenomenon is shown to be excluded under the proposed event-triggered scheme. The gain of the feedback controller, the parameters of the event-triggering function and the switching signals are jointly designed for the underlying delayed differential systems. At last, a numerical example is exploited to given to demonstrate the effectiveness of the authors' developed control scheme.