AbstractThis paper is concerned with the exponential input‐to‐state stabilization of semilinear systems via aperiodically intermittent control and aperiodically intermittent sampled‐data control, respectively. The aperiodically intermittent control is characterized from the average sense. By designing an auxiliary timer to make a compromise between control activation intervals and control rest intervals and employing the piecewise Lyapunov function method, novel sufficient criteria are obtained to guarantee the exponential input‐to‐state stability of considered systems. As for the aperiodically intermittent sampled‐data control, the sampling instants can also be aperiodic. Especially, if the sampling instants are periodic, we employ a mixed piecewise Lyapunov functional method to obtain a relatively less conservative condition to guarantee the exponential input‐to‐state stability. Finally, a numerical example is presented to illustrate the effectiveness of the theoretical results.