Dwell-time conditions for robust stability of impulsive systems
  We prove that impulsive systems, which possess an ISS Lyapunov function, are ISS for impulse time sequences, which satisfy the fixed dwell-time condition. If the ISS Lyapunov function is the exponential one, we provide stronger result, which guarantees uniform ISS of the whole system over sequences of impulse times, which satisfy the generalized average dwell-time condition. 
Sergey Dashkovskiy and Andrii Mironchenko
math.OC math.DS