Exponential Stability for Event-Driven Impulsive Control Systems

In this work, we conduct stability analysis for a class of multi-module impulsive control systems via an event-driven scheme. By designing some event-driven conditions and a proper event-driven impulsive control law, we establish some sufficient stability criteria for the considered systems. The proposed event-driven control scheme is advantageous to reduce the utilization of communication and computation resources. Further, we study the impulsive synchronization problem for two continuous-time dynamical systems with different initial values. Finally, an example of Chua’s circuit with simulations results are provided to illustrate the validity of the method.