Intermittent event‐triggered control for input‐to‐state stability of stochastic systems

Abstract In this article, we investigate the input‐to‐state stability (ISS) of stochastic systems via intermittent event‐triggered control. The control update sequence during the control intervals is determined through an event‐triggered mechanism (ETM), where the periodic ETM and continuous ETM are considered separately. For the continuous ETM, a positive minimum inter‐execution time is ensured by adding waiting time, which avoids Zeno behavior. For the periodic ETM, with the help of Halanay‐like inequality, the maximum allowable bound of the sampling period is given. The number of control updates is further reduced by adding a dynamic term. In addition, sufficient conditions for ISS in stochastic systems are proposed by designing an auxiliary timer and applying the Lyapunov method. Finally, two numerical examples are presented to verify the validity of the results.