Stability for Switched Nonlinear Systems via Event-triggered Impulsive and Switching Control

The paper proposes an event-triggered impulsive and switching control mechanism for a class of switched nonlinear systems, where each subsystem of such a switched system is allowed to be unstable, and there does not exist any switching law to stabilize the system. Note that the event-triggered impulsive and switching control can reduce the number of occurrence of impulses obviously. Most importantly, the event-triggered impulsive and switching control can not only guarantee stability of system, but also exclude Zeno behavior. Finally, a numerical example is given to illustrate the effectiveness of the results.