Kill or continue lost Linux sessions

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http://serverfault.com – I have an unreliable Internet connection. Sometimes it is lost while logged on to the text command interface of a Ubuntu server. This results in a "garbage" user session (seen when using the who command). Is there any way I can login to the server and continue an old session, or should I kill the "garbage" sessions? In that case, how do I do that without killing the current session? (HowTos)