How to call managed bean method on ESC button?

I want to execute a method from my managed bean when I press the ESC key from the keyboard. I have read some other posts but none of them is working on my application. Maybe I am not placing the script on the right position within the page.. I putted it above dhe af:document (it is an ADF application), also within the af:document. This is the JS code:

<af:resource type="javascript">
      $(document).keyup(function (e) {
          if (e.which == 27) {
              document.getElementById('cb3').click();
          }
      });
    </af:resource>

"cb3" is the ID of a button on my page that calls the method from my bean. I do not know another way to call the method directly. Any idea?

I thank @Gawish for the response as it helped me to find the solution. I couldn't use that solution because there is no type:"keyPress" in clientListener in ADF 11g. However I did like this and it works very well:

window.onkeyup = function (e) {
          if (e.keyCode == 27) {
              var button = AdfPage.PAGE.findComponentByAbsoluteId('cb3');
              AdfActionEvent.queue(button, true);
              e.cancel();
          }
      }

Pay attention, e.cancel() at the end is mandatory!