Fedora :: Bash - Binding A Function To Control-something Key Combo - F11

I want to set a key binding in bash for "history-search-backward" readline command to a combination of Control+some other key (I'm using 2 as an example), but I'm unable to do so. in fact, I'm unable to alter or add bindings to Control+key combinations.

After several tries my ~/.inputrc now looks like this

But it doesn't work and bind -p | grep "-2" gives nothing. If I try something without the control key:

I can search in the history by prssing the sequence C + - + 2.

bind -p gives control in C form, for example:

I've tried different formats in my inputrc:

But nothing works.

works if I press Escape followed by 2.

Setup:
Fedora 11:
Bash version 4.0.23(1)
GNU Readline 5.2 (according to the man page)