Holding voltage high, for monostable 555 timer pulse

Straight forward to my question: I want to know if there is a simple (and cheap) way to make a momentary button (for which we cannot control the time it holds when pressed!) press to virtually hold for about 1-2 seconds.

More precisely, I want to implement a low power consuming solution for a monostable-“mode” 555 timer. Thus when the button is “hit”, the 555 Vcc pin will go HIGH for at least the amount of time required for one pulse to be sent out. After that the circuit will go back to stable 0V, until next hit.

(Even more precisely, if this generalization is still not enough - The pulse is used to move a small servo to a certain, constant, predetermined position)

Looking forward for solutions.

You mean a non-retriggerable monostable? Circuits here: http://www.utm.edu/staff/leeb/3b3.htm