I guess I should have read and comprehended the post rather than seeing the 11.2 AMPS and commenting. My Honda 2000 will run a 12amp circular saw without any problems and I bet any 2000 watt generator should handle without any issue.
Based on 11.2 amps it sounds like you want to run an A/C. If that's the case search for Honda EU2000 A/C. You'll see numerous threads discussing start amps required and efficiency loss when it is hot. Some folks can run a 13.5 A/C on a single Honda EU2000 but most folks can't. I can start a 13.5 A/C and run but if it's above 90 degrees (when you really need the A/C) after about 10-15 minutes I can see the voltage start dropping and then it goes into overload. That's why I have 2 paralleled.
The Yamaha 2800 will run an A/C no problem as will the Honda EU3000. Anything less is iffy.....