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This article studies the stabilization to exponential input-to-state stability (ISS) via aperiodic intermittent control (APIC) for continuous-time systems. The stabilization is formulated as a problem of minimum activation time rate (MATR) of nontrivial APIC. The MATR is investigated, respectively, for time-triggered APIC (T-APIC) and event-triggered APIC (E-APIC). The MATR of T-APIC is estimated and the criteria of stabilization to ISS via T-APIC are derived. Moreover, the state dependent E-APIC is proposed to reduce the conservativeness in time-triggered APIC. The algorithm and MATR are given for E-APIC to achieve the stabilization. Finally, one example with numerical simulations is given. It is shown that E-APIC has best performances with least number of control actions and lowest activation time rate than the periodic intermittent control (PIC) and T-APIC, and T-APIC has also better performance than PIC.
Liu et al. (Thu,) studied this question.