Event-triggered polynomial input-to-state stability in mean square for pantograph stochastic systems.

This article investigates the polynomial integral input-to-state stability in mean square (ms-PIISS) and polynomial (t + 1) ℵ -weighted integral input-to-state stability in mean square ( (t + 1) ℵ -weighted ms-PIISS) for pantograph stochastic systems. The above stability is achieved through dynamic event-triggered mechanism and static event-triggered mechanism. To avert Zeno behaviour in each sample path, our event-triggered mechanisms (ETMs) force a pause time after each successful execution, which will lead to intermittent detection of system status, thus greatly saving communication resources. One utilises the Hanalay-type inequality to obtain the less conservative stability criterion. In addition, a collaborative design method of ETM and linear controller is proposed. Ultimately, an paraphrastic example is shown to indicate the availability of the mentioned collaborative design process. [ABSTRACT FROM AUTHOR]