Restart TeamCity server via web interface
This is now available in 2017.2 via the Diagnostics page of the admin area:
Now there is also the server Restart button on the Administration | Diagnostics page.
/admin/admin.html?item=diagnostics#serverRestart
Such option is not implemented in TeamCity. Please vote for the issue https://youtrack.jetbrains.com/issue/TW-34946.