Stability conditions for impulsive dynamical systems

Abstract In this work, we consider impulsive dynamical systems evolving on an infinite-dimensional space and subjected to external perturbations. We look for stability conditions that guarantee the input-to-state such systems. Our new dwell-time allow situation, where both continuous discrete dynamics can be unstable simultaneously. Lyapunov like methods are developed purpose. Illustrative finite infinite dimensional examples provided demonstrate application of main results. These cannot treated by any other published approach effectiveness our