Live search in admin page

I'm building a plugin that works only in admin. I've a page where the user choose some posts, the script generate a pdf file from this data and then it save in a specif folder.

To help the user to choose the posts I would to do an input text with a live search. The user select the post from the list result and the script add it in a list (and the post_id in a hidden input).

I've searched something like this in internet but I didn't find yet.

Thanks

Alex