Abstract
This paper investigates a class of discrete-time stochastic nonlinear systems with external disturbances. To obtain the stability of the suggested system, we develop an event-triggered mechanism which is more general than those given in previous literatures. On this basis, many techniques such as stochastic analysis theory, classified discussion, comparison principle and reduction to absurdity are successfully applied in this paper. Under some suitable conditions, the asymptotic stability in mean square in the case of the state-dependent external disturbance and the input-to-state stability in mean square in the case of the state-independent external disturbance are obtained. Finally, some discussions and remarks are provided to show the significance of our results.
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