Exponential stabilization of fractional-order continuous-time dynamic systems via event-triggered impulsive control

Exponential stabilization of fractional-order continuous-time dynamic systems via event-triggered impulsive control

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Exponential stabilization of fractional-order continuous-time dynamic systems via eventtriggered impulsive control (EIC) approach is investigated in this paper.Nonlinear Wooden Car 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 Wooden Kit illustrated by some numerical simulation examples including the synchronization control of fractional-order jerk chaotic system.