Disturbance Decoupling in Hybrid Linear Systems with State Jumps

This work investigates the problem of making the output of a hybrid linear system totally insensitive to a disturbance input, while attaining global asymptotic stability of the compensated hybrid dynamics. In the presence of possibly non-uniformly spaced state jumps, meeting the only condition that the minimum time between two consecutive occurrences is no smaller than a given positive real constant, both existential and constructive necessary and sufficient conditions for solvability of the problem addressed are proven.