here the one i/p of comparator is fixed in static one.... in the case of dynamic it changes wrt o/p..... dynamic ones are generally done so improve their noise immunity......
this terminology is also used from power dissipation point of view.
static comparators needs a dc current for its operation... but can be used as a continuous time comaprator. ie no need of a strobe signal.
Dynamic comparators does not require dc current... but this needs a strobe signal to latch the input.
I'd say that dynamic comparators always rely on positive feedback to speed up the decision. This positive feedback is implemented as a latch. Because of this they need a clock/strobe signal to start the comparison.
Static comparators are open-loop, without feedback. The comparison is always active, so no clock/strobe signal is needed.
The best comparators use an open-loop first stage and later they use a positive-feedback stage.