Exponential stabilization of fractional-order continuous-time dynamic systems via eventtriggered impulsive control (EIC) approach is investigated in this paper. Nonlinear and linear fractional-order continuous-time dynamic systems are studied, respectively. The impulsive instants are determined by some given event-triggering function and event-triggering condition, which are dependent on the state of the systems. Sufficient conditions on exponential stabilization for nonlinear and linear cases are presented, respectively. Moreover, the Zeno-behavior of impulsive instants is excluded. Finally, the validity of theoretical results are also illustrated by some numerical simulation examples including the synchronization control of fractional-order jerk chaotic system.

中文翻译：

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通过事件触发脉冲控制的分数阶连续时间动态系统的指数稳定

本文研究了通过事件触发脉冲控制（EIC）方法的分数阶连续时间动态系统的指数稳定。分别研究了非线性和线性分数阶连续时间动态系统。脉冲瞬间由一些给定的事件触发函数和事件触发条件决定，这取决于系统的状态。分别给出了非线性和线性情况下指数稳定的充分条件。此外，冲动瞬间的芝诺行为被排除在外。最后通过分数阶加加速度混沌系统的同步控制等数值仿真算例说明了理论结果的有效性。