Input-to-State Stability of Nonlinear Systems: Event-Triggered Impulsive Control

This article investigates input-to-state stability (ISS) of nonlinear systems via event-triggered impulsive control method. A novel impulsive event-triggered mechanism (IETM) which can exclude the Zeno behavior for nonlinear impulsive systems is designed. Some sufficient conditions which establish the relationship between impulse strength and IETM for ISS property are proposed. It is shown that under the designed IETM, a flexible impulsive control strategy can be provided. Since impulses only occur when the event which is related to the states of the system is triggered, the burden of the transmission of information can be reduced dramatically. Examples are presented to show the effectiveness of our proposed results.

Automated summary

This article investigates the input-to-state stability (ISS) of nonlinear systems using the event-triggered impulsive control method. A novel impulsive event-triggered mechanism (IETM) is designed to exclude the Zeno behavior in nonlinear impulsive systems. Sufficient conditions establishing the relationship between impulse strength and IETM for ISS property are proposed. The results show that the designed IETM enables a flexible impulsive control strategy by reducing the burden of information transmission. Examples are provided to demonstrate the effectiveness of the proposed results.