Semiglobal Finite-Time Stability of Impulsive Systems

In this paper, semiglobal and global finite-time stability of a class of infinite-dimensional semilinear impulsive systems are investigated, where both stabilizing and destabilizing impulses are considered. By employing the Lyapunov analysis method and applying the affine iteration theory, several Lyapunov criteria with the average impulsive interval condition are established under which semiglobal and global finite-time stability of the system are obtained, and the settling time and semiglobal bound are estimated. Finally, illustrative examples are given and the obtained theoretical results are verified by numerical simulations.