Self-sustaining means that the fusion itself heats the plasma enough so that no other heating is required Confinement is still necessary, though.
It's hard to define what "self-sustaining" means in case of inertial confinement with spherical symmetry, because the conditions are rather uniform and the duration of fusion conditions is extremely brief. It's about as self-sustaining as a nuclear detonation. In case of so-called "fast ignition", self-sustaining would indeed mean that the fusion that starts in a hot spot propagates as a kind of a wave through the fuel pellet.
In case of magnetic confinement, the (charged) fusion products heat the plasma enough to maintain the fusion-relevant temperature. This reaction is not an uncontrolled explosion because the temperature can get too high for given fuel type and the heat would be radiated away faster, cooling down the plasma. You still need the magnetic fields to confine the plasma and possibly some neutral beams or RF sources to support plasma currents (in a tokamak or FRC; a stellarator doesn't need a plasma current, so it can be even more "self-sustaining").
Ignition means infinite (scientific) Q, because you don't have to heat the plasma. The engineering Q will of course be finite, because you have to expend energy on cooling, etc and, in case of tokamak, on maintaining the toroidal plasma current I don't remember exactly how much that is, but some numbers I vaguely remember are about an order of magnitude smaller than the heating.