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.

中文翻译：

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通过非周期性间歇控制稳定到指数输入到状态的稳定性

本文研究了连续时间系统通过非周期性间歇控制 (APIC) 对指数输入到状态稳定性 (ISS) 的稳定性。稳定性被表述为非平凡 APIC 的最小激活时间率 (MATR) 问题。分别针对时间触发 APIC (T-APIC) 和事件触发 APIC (E-APIC) 研究 MATR。估计了 T-APIC 的 MATR，并导出了通过 T-APIC 稳定到 ISS 的标准。此外，提出了状态相关的 E-APIC 以减少时间触发 APIC 的保守性。给出了E-APIC的算法和MATR以实现稳定。最后给出了一个数值模拟的例子。