• Websphere 5.1
• Security configured (need admin username/password for admin tasks)
• Configure intentionally invalid username/password in IDEA-Websphere launch dialog
• Start the server from IDEA
• Stop the server from IDEA - this attempt fails (console output with an error from script due to invalid credentials configured before)
• The stop button is disabled, and there's no other way to stop the server, but from outside IDEA.

Note, that if the user attempts to start a server after a failed stop attempt, IDEA correctly detects a server on the port and prompts on action. The same check could be used to control the state of the stop button.