Event-triggered polynomial input-to-state stability in mean square for pantograph stochastic systems
Peilin Yu, Feiqi Deng, Xinzhi Liu, Yuanyuan Sun · International Journal of Systems Science · 2023
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.