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

Peilin Yu, Feiqi Deng, Xinzhi Liu and Yuanyuan Sun

International Journal of Systems Science, 2023, vol. 54, issue 11, 2301-2315

Abstract: This article investigates the polynomial integral input-to-state stability in mean square (ms-PIISS) and polynomial $ (t+1)^{\aleph } $ (t+1)ℵ-weighted integral input-to-state stability in mean square ( $ (t+1)^{\aleph } $ (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.

Date: 2023
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DOI: 10.1080/00207721.2023.2230189

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