Finite-time stabilization of a special class of hybrid systems, namely impulsive dynamical
linear systems (IDLS), is tackled in this paper. IDLS exhibit jumps in the state trajectory
which can be either time-driven (time-dependent IDLS) or subordinate to specific state
values (state-dependent IDLS). Sufficient conditions for finite-time stabilization of IDLS are
provided. Such results require solving feasibility problems which involve Differential–
Difference Linear Matrix Inequalities (D/DLMIs), which can be numerically solved in an …