This is a browser behavior, so you can't "control" it. You can use [font=monospace]autocomplete=off[/font] to suggest to the browser that it shouldn't make suggestions.
Providing a default value (e.g., [font=monospace]value=""[/font]) can also prevent autocomplete suggestions.
I don't have any data on browser compatibility, but I've never come across a browser that these didn't work in.