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

作者：Yu, Peilin; Deng, Feiqi^*; Liu, Xinzhi; Sun, Yuanyuan

来源：INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2023, 54(11): 2301-2315.

DOI：10.1080/00207721.2023.2230189

• Pantograph stochastic systems
• Input-to-state stability
• Dynamic event-triggered mechanism
• Static event-triggered mechanism

This article investigates the polynomial integral input-to-state stability in mean square (ms-PIISS) and polynomial (t + 1)(?)-weighted integral input-to-state stability in mean square ((t + 1)(?)-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.