Hi
I have just started having this problem with my iPad 2, Tuesday night to be exact, I did all the suggested steps from clearing the network, restore, full iTunes factory restore setting, the whole thing with no results to being fixed, it’s still rebooting itself every 2~5mins non-stop.
When I called apple, they said it could be a Hardware issue and asked me to hand over the iPad 2 to my nearest Apple Store, which I will do once they E-Mail me some details needed to hand with the iPad.
This problem occurred (was obvious to figure) with iOS7 releasing, iPad 2 just had problems non-stop ever since, and now this sudden non-stop rebooting every 2~5mins, Apple knows about this problem and is keeping quite about it, and should come with a solution, iPad's cost a lot of money and in many cases (Like me) I cannot just go and buy another iPad, if Apple wants their costumers to be happy, at least acknowledge the problem and sort it out.