For most Linux systems, checking for support of the new DST is as easy as running the following command:
zdump -v /etc/localtime | grep 2007
If you see two lines that say Sun Mar 11 and two lines that say Sun Nov 4 then your Linux system is already ready for the new DST.
If your system says it can't find the zdump command, try /usr/sbin/zdump instead. If your system doesn't list those two days, read this article for more information. I was rather surprised that all four of my Linux servers already had support for the new DST, since I don't usually update them.