Jquery - Creating A Custom Control In Javascript Properties And Methods?

As a starting point for creating custom controls, I would like to make a control that simply displays a number. If we imagine the .ascx file contains nothing except for a literal control, and the code behind sets that value to 1.

I then want to be able to do myControl.increment();
This will run some javascript that increases the value of the literal control.

I could inject a javascript into the page, such as pseudocode:

page_load
{
scriptything.register("function increment(x) { $('#myLiteral').increment(); });
}

or something, but that wouldn't be myControl.increment, that would just be increment(). More than one control on the page would screw it up.