Abstract
•An improved hybrid event-trigger mechanism is introduced.•A novel hybrid controller involving impulsive control and sampling control is designed under the event-triggered mechanism.•A novel lemma, which can be used to design finite-time control term without sign function, is proposed.•An improved finite-time stability criterion is derived, which may decrease the conservatism of the existed result.
Finite-time stability analysis for general dynamical system is presented under event-triggered control mechanism in this paper. By designing a novel event-triggered mechanism and a hybrid controller involving impulsive control and sampling control, the sufficient finite-time stability criteria are derived and the Zeno behavior is excluded simultaneously. Typical numerical examples involving the finite-time stabilization and synchronization of chaotic systems are given to show the effectiveness of our theoretical criteria.