  We consider a class of continuous-time hybrid dynamical systems that
correspond to subgradient flows of a piecewise linear and convex potential
function with finitely many pieces, and which include the fluid-level dynamics
of the Max-Weight scheduling policy as a special case. We study the effect of
an external disturbance/perturbation on the state trajectory, and establish
that the magnitude of this effect can be bounded by a constant multiple of the
integral of the perturbation.
