Event-triggered polynomial input-to-state stability in mean square for pantograph stochastic systems. (English) Zbl 1520.93454
Summary: This article investigates the polynomial integral input-to-state stability in mean square (ms-PIISS) and polynomial \((t+1)^\aleph\)-weighted integral input-to-state stability in mean square (\((t+1)^\aleph\)-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.
MSC:
| 93D25 | Input-output approaches in control theory |
| 93C65 | Discrete event control/observation systems |
| 93E15 | Stochastic stability in control theory |
Keywords:
pantograph stochastic systems; input-to-state stability; dynamic event-triggered mechanism; static event-triggered mechanismReferences:
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